STD XI MATHEMATICS PRACTICE TEST 2 - by S.B.O.A. Matric and Hr Sec School - Dec 16, 2020 - View & Read

• 1)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 2)

  Solve : \({{x^2-4}\over{x^2-2x-15}}\le0\)

• 3)

  The shaded region in the adjoining diagram represents.
  

• 4)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 5)

  The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x²+y²| ≤ 2, then which one of the following is true?

11th Standard Maths Differentiability & Methods of Differentiation English Medium Free Online Test 1 Mark Questions with Answer key 2020-2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If g(x) = (x² + 2x + 3) f(x) and f(0) = 5 and \(lim_{x \rightarrow 0}{f(x)-5\over x}=4\), then g'(0) is

• 2)

  The derivative of f(x) = x |x| at x = −3 is

• 3)

   Choose the correct or the most suitable answer from the given four alternatives.
  If \(y=\sin ^{ -1 }{ x } +\cos ^{ -1 }{ x } \) then \(\frac { dy }{ dx } \) is _____

• 4)

  Choose the correct or the most suitable answer from the given four alternatives.
  If \(f\left( x \right) =x+1\), then \(\frac { d }{ dx } ({ f }_{ 0 }f\left( x \right) )\) is _________

• 5)

  Choose the correct or the most suitable answer from the given four alternatives.
  For the curve \(\sqrt { x } +\sqrt { y } =1,\quad \frac { dy }{ dx } at\left( \frac { 1 }{ 4 } ,\frac { 1 }{ 4 } \right) is\) _________

11th Standard Maths Matrices and Determinants English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

• 2)

  If A = \(\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}\), then for what value of \(\lambda\), A² = O?

• 3)

  The value of x, for which the matrix A = \(\begin{bmatrix} e^{x-2}& e^{7+x} \\ e^{2+x} & e^{2x+3} \end{bmatrix}\) is singular

• 4)

  If \(\triangle\) = \(\begin{vmatrix} a&b &c \\ x & y & z \\ p &q &r \end{vmatrix}\), then \(\begin{vmatrix} ka&kb &kc \\ kx & ky & kz \\k p &kq &kr \end{vmatrix}\) is

• 5)

  If a \(\neq\) b, b, c satisfy \(\begin{vmatrix} a&2b &2c \\3 & b & c \\ 4 & a & b \end{vmatrix}=0,\) then abc =

11th Standard Maths Matrices and Determinants English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  What must be the matrix X, if 2x +\(\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?\)

• 2)

  If the points (x,−2), (5, 2), (8, 8) are collinear, then x is equal to

• 3)

  If the square of the matrix \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is the unit matrix of order 2, then \(\alpha ,\beta \) and \(\gamma\) should satisfy the relation.

• 4)

  If A is skew-symmetric of order n and C is a column matrix of order n \(\times\) 1, then C^T AC is

• 5)

  If A(B + C) = AB + AC where A, B, C are matrices of the same order than the property applied is matrix multipication is _______ .

11th Standard Maths Vector Algebra - I English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  The unit vector parallel to the resultant of the vectors \(\hat{i}+\hat{j}-\hat{k}\) and \(\hat{i}-2\hat{j}+\hat{k}\) is

• 3)

  The vectors \(\overrightarrow{a}-\overrightarrow{b},\overrightarrow{b}-\overrightarrow{c},\overrightarrow{c}-\overrightarrow{a}\) are

• 4)

  If \(\overrightarrow{a}=\hat{i}+2\hat{j}+2\hat{k},|\overrightarrow{b}|=5\) and the angle between \(\overrightarrow{a}\) and \(\overrightarrow{b}\) is \({\pi\over 6},\) then the area of the triangle formed by these two vectors as two sides, is

• 5)

  The vectors from origin to the points A and B are \(2\hat { i } -3\hat { j } +2\hat { k } \) and \(2\hat { i } +3\hat { j } +\hat { k } \) respectively, then the area of \(\Delta\)OAB is equal to

11th Standard Maths Vector Algebra - I English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If \(\overrightarrow{a}+2\overrightarrow{b}\) and \(3\overrightarrow{a}+m\overrightarrow{b}\) are parallel, then the value of m is

• 2)

  A vector makes equal angle with the positive direction of the coordinate axes. Then each angle is equal to

• 3)

  If ABCD is a parallelogram, then \(\overrightarrow{AB}+\overrightarrow{AD}+\overrightarrow{CB}+\overrightarrow{CD}\) is equal to

• 4)

  If \(\overrightarrow{a},\overrightarrow{b}\) are the position vectors A and B, then which one of the following points whose position vector lies on AB, is

• 5)

  If \(\overrightarrow{r}={9\overrightarrow{a}+7\overrightarrow{b}\over16}\), then the point P whose position vector \(\overrightarrow{r}\) divides the line joining the points with position vectors \(\overrightarrow{a}\) and \(\overrightarrow{b}\) in the ratio

11th Standard Maths Differential Calculus - Limits and Continuity English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  \(lim_{x\rightarrow\infty}{sin \ x \over x} \)

• 2)

  \(lim_{x\rightarrow0}{\sqrt{1-cos 2x}\over x} \)

• 3)

  If f(x) = x(-1)^{\(\left\lfloor 1\over x \right\rfloor \)}, \(x\le0\), then the value of \(lim_{x\rightarrow 0}f(x)\) is equal to

• 4)

  Let the function f be defined by \(f(x)=\left\{\begin{array}{ll} 3 x & 0 \leq x \leq 1 \\ -3 x+5 & 1<x \leq 2 \end{array},\right. \text { then }\)

• 5)

  The value of \(lim_{x \rightarrow 0}{sin x\over \sqrt{x^2}}\) is

11th Standard Maths Differential Calculus - Limits and Continuity English Medium Free Online Test 1 Mark Questions with Answer Key 2020-2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  \(lim_{x\rightarrow {\pi/2}}{2x-\pi\over cosx} \)

• 2)

  \(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

• 3)

  \(lim_{x \rightarrow 3}\left\lfloor x \right\rfloor =\)

• 4)

  If f : \(R \rightarrow R\) is defined by f(x)=\(\left\lfloor x-3 \right\rfloor +|x-4|\) for \(x \in R\), then \(lim_{x\rightarrow 3^-}f(x)\) is equal to

• 5)

  \(lim_{n \rightarrow \infty}({1\over n^2}+{2\over n^2}+{3\over n^2}+..+{n\over n^2})\) is

11th Standard Maths Differential Calculus - Differentiability and Methods of Differentiation English Medium Free Online Test 1 Mark Question 2020-2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  \(\frac{d}{d x}\left(\frac{2}{\pi} \sin x^{\circ}\right)\) is

• 2)

  If y = mx + c and f(0) =\(f '(0)=1\), then f(2) is

• 3)

  \({d\over dx}(e^{x+5log \ x})\) is

• 4)

  The differential coefficient of log₁₀ x with respect to log_x10 is

• 5)

  \(\text { If } f(x)= \begin{cases}x-5 & \text { if } x \leq 1 \\ 4 x^2-9 & \text { if } 1<x<2 \\ 3 x+4 & \text { if } x \geq 2\end{cases}\), then the right hand derivative of f(x) at x = 2 is

11th Standard Maths Integral Calculus English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If \(\int f(x) d x=g(x)+c\), then \(\int f(x) g^{\prime}(x) d x\)

• 2)

  If \(\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x\) is

• 3)

  \(\int \sin ^3 x d x\) is

• 4)

  \(\int \frac{e^x\left(x^2 \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^2+1} d x\) is

• 5)

  \(\int \frac{\sec ^2 x}{\tan ^2 x-1} d x\) is

11th Standard Maths Integral Calculus English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If \(\int {3^{1\over x}\over x^2}dx=k(3^{1\over x})+c\), then the value of k is

• 2)

  \(\int \frac{e^{6 \log x}-e^{5 \log x}}{e^{4 \log x}-e^{3 \log x}} d x\) is

• 3)

  \(\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x\) is

• 4)

  \(\int \frac{x^2+\cos ^2 x}{x^2+1} \operatorname{cosec}^2 x d x\) is

• 5)

  \(\int e^{-4 x} \cos x d x\) is

11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  Let A and B be two events such that \(P(\overline{A\cup B})={1\over6}, P(A\cap B)={1\over4}\) and \({P(\overline{A})}={1\over4}\). Then the events A and B are

• 2)

  A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

• 3)

  If A and B are two events such that A ⊂ B and P(B)\(\neq o\), then which of the following is correct?

• 4)

  If X and Y be two events such that P(X/Y) = \({1\over2},P(Y/X)={1\over3}\) and \(P(X\cap Y)={1\over6}\), then P(X\(\cup\)Y) is

• 5)

  If two events A and B are such that \(P(\overline{A})={3\over10}\) and \(P(A \cap \overline{B})={1\over2},\) then \(P(A\cap B)\) is

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Three - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 3)

  Assertion (A) : cos x = \(\frac{-1}{2}\) and 0\(\frac{2\pi}{3},\frac{4\pi}{3}\).
  Reason (R) : cos is negative in the first and fourth quadrant only.

• 4)

  The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

• 5)

  The sum of the series C₀²- C₁² + C₂² .....+ (- 1)ⁿC²_n where n is an even integer is ______________

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Four - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The range of the function \(f(x) = \left| \left\lfloor x \right\rfloor - x \right| ,x \in R\)  is 

• 2)

  The condition that the equation ax² + bx + c = 0 may have one root is the double the other is ___________

• 3)

  If \(\alpha\) and \(\beta\) are two values of θ obtained from the equation a cos θ + b sin θ = c then the value of \(tan(\frac{\alpha+\beta}{2})\) is _______________

• 4)

  a polygon has 44 diagonals, then the number of its sides are _________

• 5)

  \(\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}\) are in A.P., then ______________

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Four - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If 3 is the logarithm of 343, then the base is

• 2)

  If the arcs of same lengths in two circles sustend central angles 30° and 40° find the ratio of their radii _______________

• 3)

  The value of cos 20°- sin 20° is _______________

• 4)

  If ⁿC₄,ⁿC₅,ⁿC₆ are in AP the value of n can be

• 5)

  Each of five questions is a multiple-choice test has 4 possible answers. The number of different sets of possible answers is  _________

11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  A number is selected from the set {1,2,3,...,20}. The probability that the selected number is divisible by 3 or 4 is

• 2)

  A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

• 3)

  A bag contains 6 green, 2 white, and 7 black balls. If two balls are drawn simultaneously, then the probability that both are different colours is

• 4)

  If two events A and B are independent such that P(A) = 0.35 and \(P(A\cup B)=0.6\), then P(B) is

• 5)

  In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f:R➝R be defined by f(x) = sinx + cosx is

• 2)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 3)

  \(\sqrt [ 4 ]{ 11 } \) is equal to ___________

• 4)

  If tan α and tan β are the roots of x² + ax + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

• 5)

  If tan A = \(\frac { a }{ a+1 } \) and B = \(\frac { 1 }{ 2a+1 } \) then the value of A + B is ___________

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If \(x={1\over 2+\sqrt{3}}\) then the value of x³ - x² - 11x + 3 is 

• 2)

  If sin α + cos α = b, then sin 2α is equal to

• 3)

  If 10 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then the total number of points of intersection are

• 4)

  The number of positive integral solution of \(x\times y\times z=30\) is  _________

• 5)

  Which one of the following statements in false?

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Two - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  \(\sqrt [ 4 ]{ 11 } \) is equal to ___________

• 3)

  Solve 3x² + 5x - 2≤0

• 4)

  The value of log 1 is

• 5)

  If cos x = \(\frac { -1 }{ 2 } \) \(0 < x < 2\pi\) and, then the solutions are _______________

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Two - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 2)

  \(n(p(A))=512,n(p(B))=32,n(A\cup B)=16,\) find \(n(A\cap B) \)  ___________

• 3)

  If A and B are any two finite sets having m and n elements respectively then the cardinality of the power set of A \(\times\) B is ___________

• 4)

  The value of log₁₀⁸ + log₁₀⁵- log₁₀⁴ = ___________

• 5)

  Everybody in a room shakes hands with everybody else. The total number of handshakes is 91. The total number of persons in the room is _________

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Three - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f:R➝R be defined by f(x) = sinx + cosx is

• 2)

  The number of reflective relations one set containing n elements is __________

• 3)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 4)

  2tan^-1\(\left( \frac { 1 }{ 5 } \right) \) is equal to _______________

• 5)

  The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is

• 2)

  Domain of the function \(y={x-1\over x+1}\) is __________

• 3)

  Which one of the following is false?

• 4)

  Find a so that the sum and product of the roots of the equation 2x²+ (a - 3) x + 3a - 5 = 0 are equal is

• 5)

  If \(\alpha\) and \(\beta\) are the roots of 2x² - 3x - 4 = 0 find the value of \(\alpha^2+\beta^2\)

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Five - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f(x) = log (x + \(\sqrt{x^2+1}\)) is ___________

• 2)

  If a and b are the roots of the equation x²- kx + 16 = 0 and a²+ b² = 32, then the value of k is

• 3)

  The number of real solution of |2x - x²- 3| = 1 is ___________

• 4)

  If ⁿP_r=k x ^n-1P_r-1 what is k:

• 5)

  Choose the incorrect pair:

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Six - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If two sets A and B have 17 elements in common, then the number of elements common to the set A \(\times\)B and B \(\times\)A is

• 2)

  Which one of the following statements is false? The graph of the function \(f(x)={1\over x}\)

• 3)

  If |x + 3| ≥ 10 then ___________

• 4)

  The quadratic equation whose roots are tan 75° and cot 75° is _______________

• 5)

  If 10ⁿ + 3 \(\times\) 4ⁿ⁺²+\(\lambda \) is divisible by 9 for all n \(\in \)N, then the least positive integral value of \(\lambda \) is _________

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Seven - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

• 2)

  Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 3)

  Domain of the function \(y={x-1\over x+1}\) is __________

• 4)

  The number of solution of x² + |x - 1| = 1 is

• 5)

  Choose the incorrect statement

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Six - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f:R➝R is defined by f(x)=\(\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }\) is

• 2)

  Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x²- 2x - 3 then preimage of 5 is ___________

• 3)

  If sin(45 ° + 10°) - sin(45° -10°) = \(\sqrt{2}\)sin x then x is ___________ 

• 4)

  The numerical value of tan^-11 + tan^-12 + tan^-13 = _______________

• 5)

  The n^th term of the sequence \(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 } \),......is

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Seven - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If A = {(x,y) : y = e^x, x∈R} and B = {(x,y) : y = e^-x, x ∈ R} then n(A∩B) is

• 2)

  If the roots of x²-bx + c = 0 are two consecutive integer,then b²- 4c is ___________

• 3)

  Logarithm of 144 to the base 2\(\sqrt{3}\) is ___________

• 4)

  The value of \(\sqrt [ 4 ]{ { (-2) }^{ 4 } } =\) _______.

• 5)

  cos 6x - cos 8x = _______________

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Eight - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If A = {(x,y) : y = e^x, x∈R} and B = {(x,y) : y = e^-x, x ∈ R} then n(A∩B) is

• 2)

  If A = {x / x is an integer, x² \(\le\) 4} then elements of A are ___________

• 3)

  Solve \(\sqrt{7+6x-x^2}=x+1\)

• 4)

  The value of log 1 is

• 5)

  If \(\Sigma n=210\) then \(\Sigma { n }^{ 2 }\)= ______________

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Eight - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The function f(x) = log (x + \(\sqrt{x^2+1}\)) is ___________

• 2)

  The value of log₁₀⁸ + log₁₀⁵- log₁₀⁴ = ___________

• 3)

  For x≥2, |x-2|=

• 4)

  \(\left(1+\frac{1}{\lfloor2}+\frac{1}{\lfloor4}+\frac{1}{\lfloor6}+...\right)^2-\left(1+\frac{1}{\lfloor3}+\frac{1}{\lfloor5}+\frac{1}{\lfloor7}+...\right)^2=\)______________

• 5)

  Find the nearest point on the line 3x + y = 10 from the origin is ______________

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Nine - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x²- 2x - 3 then preimage of 5 is ___________

• 2)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 3)

  Zero of the polynomial p(x) = x² - 4x + 4

• 4)

  In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

• 5)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Nine - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  The range of the function \({1\over 1-2sinx}\) is

• 2)

  cos p = \(\frac { 1 }{ 7 } \) and cos Q = \(\frac { 13 }{ 14 } \) where P, Q are angles, then P-Q is _______________

• 3)

  The coefficient of a⁵ in the expansion of (3a + 5b)⁵ is ______________

• 4)

  If(1, 3) (2,1) (9, 4) are collinear then a is ______________

• 5)

  The function \(f\left( x \right) =\tan { x } \) is discontinuous on the set

11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Ten - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  \(n(p(A))=512,n(p(B))=32,n(A\cup B)=16,\) find \(n(A\cap B) \)  ___________

• 2)

  If 3 is the logarithm of 343, then the base is

• 3)

  \(\frac { cos3x }{ 2cos2x-1 } \) is _______________

• 4)

  The number of positive integral solution of \(x\times y\times z=30\) is  _________

• 5)

  The sum of the digits in the unit's place of all the 4- digit numbers formed by 3, 4, 5 and 6, without repetition, is _______.

11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Ten - by Question Bank Software - Nov 11, 2020 - View & Read

• 1)

  If \(f:R\rightarrow R\) is defined by \(f(x)=2x-3\) __________

• 2)

  The triangle of maximum area with constant perimeter 12m

• 3)

  tan 70°- tan 20°= _____________ 

• 4)

  The product of first n odd natural numbers equals

• 5)

  The middle term in the expansion of  is \((x- \frac{2}{x})^{12}\) is ______________

11th Standard Maths Binomial Theorem, Sequences and Series English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

  The sum up to n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +\).....is

• 3)

  The sum of an infinite GP is 18. If the first term is 6, the common ratio is

• 4)

  The value of \(\frac { 1 }{ 2! } +\frac { 1 }{ 4! } +\frac { 1 }{ 6! } +....is\)

• 5)

  The first and last term of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be ______________

11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

  The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

• 3)

  The point on the line 2x- 3y = 5 is equidistance from (1, 2) and (3, 4) is

• 4)

  The length of \(\bot\) from the origin to the line \(\frac{x}{3}-\frac{y}{4}=1,\) is 

• 5)

  If one of the lines given by 6x² - xy + 4cy² = 0 is 3x + 4y = 0, then c equals to

11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Which of the following equation is the locus of (at², 2at)

• 2)

  The slope of the line which makes an angle 45^o with the line 3x- y = -5 are:

• 3)

  The coordinates of the four vertices of a quadrilateral are (-2, 4), (-1, 2), (1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (-1, 2) and dividing the quadrilateral in the equal areas is

• 4)

  Equation of the straight line perpendicular to the line x - y + 5 = 0, through the point of intersection the y-axis and the given line

• 5)

  The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point

11th Standard Maths Binomial Theorem, Sequences and Series English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

  The sum of an infinite GP is 18. If the first term is 6, the common ratio is

• 3)

  If the sum of n terms of an A. P. be 3n² - n and its common difference is 6, then its first term is ______________

• 4)

  If in an infinite G. P. first term is equal to 10 times the sum of all successive terms, then its common ratio is ______________

• 5)

  If \(\Sigma n=210\) then \(\Sigma { n }^{ 2 }\)= ______________

11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 2)

  The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

• 3)

  The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is

• 4)

  The number of 10 digit number that can be written by using the digits 2 and 3 is

• 5)

  The product of first n odd natural numbers equals

11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  If |x+2| \(\le\) 9, then x belongs to

• 3)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 4)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 5)

  If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  Given that x, y and b are real numbers x < y, b > 0, then

• 3)

  If cos 28⁰+ sin 28⁰ = k³, then cos 17⁰ is equal to

• 4)

  In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 5)

  The sequence \(\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } }, \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } },...... \)form an 

11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - Part Two - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is

• 2)

  If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to

• 3)

  \(\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right) \) =

• 4)

  The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 5)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Two - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The inverse of f(x) = \(\begin{cases} x\quad if\quad x<1 \\ { x }^{ 2 }\quad if\quad 1\le x\le 4 \\ 8\sqrt { x } \quad if\quad x>4 \end{cases}\) is

• 2)

  If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x² + dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

• 3)

  The product of r consecutive positive integers is divisible by

• 4)

  The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

• 5)

  If a is the arithmetic mean and g is the geometric mean of two numbers, then

11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - Part Three - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 2)

  Let f : Z➝Z be given by f(x) = \(\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}\). Then f is __________

• 3)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 4)

  \((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________

• 5)

  If cos pፀ + cos qፀ = 0 and if p ≠ q, then ፀ is equal to (n is any integer)

11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Three - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 2)

  \(\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA } \) is

• 3)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 4)

  Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

• 5)

  If A =\(\begin{bmatrix} 1& 2 &2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix}\) is a matrix satisfying the equation AA^T = 9I, where I is 3 \(\times\) 3 identity matrix, then the ordered pair (a, b) is equal to

11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Which one of the following is a finite set?

• 2)

  The value of \(\sqrt [ 4 ]{ { (-2) }^{ 4 } } =\) _______.

• 3)

  The value of sin²\(\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 } \) is ___________

• 4)

  If ⁿC₁₀ = ⁿC₆, then ⁿC₂ =  _________

• 5)

  The value of \({ 9 }^{ \frac { 1 }{ 3 } }\) ,\({ 9 }^{ \frac { 1 }{ 9 } }\)\({ 9 }^{ \frac { 1 }{ 27}}\),\(\infty \) is ______________

11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The shaded region in the adjoining diagram represents.
  

• 2)

  The number of reflective relations one set containing n elements is __________

• 3)

  \((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________

• 4)

  If cosec x + cot x = \(\frac { 11 }{ 2 } \) then tan x = ___________

• 5)

  Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Two - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If \(f:[-2,2]\rightarrow A\) is given by f(x) = 3³ then f is onto, if A is ___________

• 2)

  The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

• 3)

  The coefficient of a⁵ in the expansion of (3a + 5b)⁵ is ______________

• 4)

  The length of perpendicular from the origin to a line is 12 and the line makes an angle of 120° with the positive direction of y-axis. then the equation of line is ______________

• 5)

  If co-ordinate axes are the angle bisectors of the pair of lines ax²+ 2hxy + by² = 0 then ______________

11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Two - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The number of reflective relations one set containing n elements is __________

• 2)

  For the below figure of ax² + bx + c = 0
  

• 3)

  Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

• 4)

  The Co-efficient of x³ in \(\sqrt { \frac { 1-x }{ 1+x } } ,\left| x \right| <1\ is\ \)______________

• 5)

  \(\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}\) are in A.P., then ______________

11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Three - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

• 2)

  (x²-2x+2)(x²+2x+2) are the factors of the polynomial ___________

• 3)

  The product of r consecutive positive integers is divisible by _________

• 4)

  The middle term in the expansion of  is \((x- \frac{2}{x})^{12}\) is ______________

• 5)

  If \(\begin{bmatrix} 2x+y & 4x \\ 5x-7 & 4x \end{bmatrix}=\begin{bmatrix} 7 & 7y-13 \\ y & x+6 \end{bmatrix}\), then the value of x+y is _________ .

11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Three - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The number of relations from a set containing 4 elements to a set containing 3 elements is:

• 2)

  \((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________

• 3)

  2 sin 5x cos x _______________

• 4)

  If 15C_3r = 15 C_r+3 , then r is equal to _________

• 5)

  If \(\Sigma n=210\) then \(\Sigma { n }^{ 2 }\)= ______________

11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Four - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If tan x = \(\frac { -1 }{ \sqrt { 5 } } \) and x lies in the IV quadrant, then the value of cos x is ___________

• 2)

  cos 35⁰ + cos 85⁰ + cos 155⁰ = _______________

• 3)

  The value of sin 20° sin 40° sin 60° sin18° is _______________

• 4)

  If (A + B) = \(\frac{\pi}{4}\), (cot A - 1) (cot B - 1) = _______________

• 5)

  The value of tan^-1 (1) + cos^-1(\(\frac{-1}{2}\)) + sin^-1(\(\frac{-1}{2}\)) _______________

11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Four - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Which of the following functions from z to itself are bijections (one-one and onto)?

• 2)

  The domain of the function \(f(x)=\sqrt{4-\sqrt{4-\sqrt{4-x^2}}}\)

• 3)

  The rationalising factor of \(\frac { 5 }{ \sqrt [ 3 ]{ 3 } } \) is

• 4)

  The condition that the equation ax² + bx + c = 0 may have one root is the double the other is ___________

• 5)

  Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is _________

11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Five - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Let X = {a, b,c},y = (1, 2, 3) then \(f:x\rightarrow y\) given by (a, 1) (b, 1) (c, 1) is called ___________

• 2)

  Which one of the following is false?

• 3)

  The logarithmic form of 5² = 25 is ___________

• 4)

  If 15C_3r = 15 C_r+3 , then r is equal to _________

• 5)

  ⁿC_r + ²ⁿC_r-1 + ⁿC_r-2 =  _________

11th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Five - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The value of a when x³- 2x²+ 3x + a is divided by (x - 1), the remainder is 1, is ___________

• 2)

  If ⁿC_r-1 = 36, ⁿC_r = 84 and ⁿC_r+1 = 126 then r = _________

• 3)

  2^1/4 4^1/8 8^1/16 16^1/32 . . . = ______________

• 4)

  If the co-ordinates of a variable point p be \((t+\frac{1}{t},t-\frac{1}{t})\) where t is the parameter then the locus of p ______________

• 5)

  If A is a matrix 3 \(\times\) 3, then \({ { (A }^{ 2 }) }^{ -1 }\) =____________

11th Standard Maths English Medium Free Online Test Volume 1 One Mark Questions 2020 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

  The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x²+y²| ≤ 2, then which one of the following is true?

• 3)

  The domain of the function \(f(x)=\sqrt{log_{10}{3-x\over x}}\)is

• 4)

  The domain and range of the function \(f(x)={|x-4|\over x-4}\)

• 5)

  The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

11th Standard Maths English Medium Free Online Test Volume 1 One Mark Questions with Answer Key 2020 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 2)

  If f(x) = |x - 2| + |x + 2|, x ∈ R, then

• 3)

  Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

• 4)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 5)

  \((\sqrt { 5 } -2)(\sqrt { 5 } +2)\) is equal to ___________

11th Standard Maths English Medium Free Online Test Volume 2 One Mark Questions 2020 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If A and B are two matrices such that A + B and AB are both defined, then

• 2)

  If the square of the matrix \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is the unit matrix of order 2, then \(\alpha ,\beta \) and \(\gamma\) should satisfy the relation.

• 3)

  If A + I =\(\begin{bmatrix} 3& -2 \\ 4 & 1 \end{bmatrix}\), then (A + I )(A - I) is equal to

• 4)

  If A and B are square matrices of order 3 and |A| = 5, |B| = 3 then |3 AB| is _____________

• 5)

  One of the diagonals of parallelogram ABCD with \(\overrightarrow{a}\) and \(\overrightarrow{b}\) as adjacent sides is \(\overrightarrow{a}+\overrightarrow{b}\) The other diagonal \(\overrightarrow{BD}\) is

11th Standard Maths English Medium Free Online Test Volume 2 One Mark Questions with Answer Key 2020 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If \(\begin{vmatrix}2a & x_1 &y_1 \\ 2b & x_2 & y_2 \\ 2c & x_3 &y_3 \end{vmatrix}={abc\over 2}\neq 0,\) then the area of the triangle whose vertices are \(\begin{pmatrix} {x_1\over a}, {y_1\over a} \end{pmatrix}\), \(\begin{pmatrix} {x_2\over b}, {y_2\over b} \end{pmatrix}\), \(\begin{pmatrix} {x_3\over c}, {y_3\over c} \end{pmatrix}\) is

• 2)

  The value of the determinant of A = \(\begin{bmatrix} 0&a &-b \\ -a & 0 & c \\ b & -c & 0 \end{bmatrix}is\)

• 3)

  If \(\overrightarrow{a}+2\overrightarrow{b}\) and \(3\overrightarrow{a}+m\overrightarrow{b}\) are parallel, then the value of m is

• 4)

  Let f :\(R \rightarrow R\) be defined by \(f(x)= \begin{cases}x & x \text { is irrational } \\ 1-x & x \text { is rational }\end{cases}\)  then f is

• 5)

  \(\lim _{ x\rightarrow 1 }{ \frac { { x }^{ m }-1 }{ { x }^{ n }-1 } } is\)

11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 3)

  Which one of the following is a finite set?

• 4)

  Given A = {5,6,7,8}. Which one of the following is incorrect?

• 5)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  The shaded region in the adjoining diagram represents.
  

• 3)

  If f(x) = |x - 2| + |x + 2|, x ∈ R, then

• 4)

  If two sets A and B have 17 elements in common, then the number of elements common to the set A \(\times\)B and B \(\times\)A is

• 5)

  Let f : Z➝Z be given by f(x) = \(\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}\). Then f is __________

11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If |x+2| \(\le\) 9, then x belongs to

• 2)

  The value of log_a b log_b c log_c a is

• 3)

  Find a so that the sum and product of the roots of the equation 2x²+ (a - 3) x + 3a - 5 = 0 are equal is

• 4)

  If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x² + dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

• 5)

  If  \(\frac { kx }{ (x+2)(x-1) } =\frac { 2 }{ x+2 } +\frac { 1 }{ x-1 } \), then the value of k is

11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  Given that x, y and b are real numbers x < y, b > 0, then

• 2)

  If 3 is the logarithm of 343, then the base is

• 3)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 4)

  If  \(\frac { 1-2x }{ 3+2x-{ x }^{ 2 } } =\frac { A }{ 3-x } +\frac { B }{ x+1 } \), then the value of A + B is

• 5)

  If - 3x + 17 < -13 then ___________

11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  The maximum value of 4sin²x + 3 cos²x + \(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

• 3)

  cos1⁰ + cos2⁰ + cos3⁰ +: : : + cos179⁰ =

• 4)

  If tan α and tan β are the roots of x² + ax + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

• 5)

  If sin α + cos α = b, then sin 2α is equal to

11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  If cos 28⁰+ sin 28⁰ = k³, then cos 17⁰ is equal to

• 2)

  If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

• 3)

  Let f_k(x) = \(\frac { 1 }{ k } \)[sin^kx + cos^kx] where x\(\in \)R and k ≥ 1. Then f₄(x) - f₆(x) =

• 4)

  In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

• 5)

  A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions 2020 - 2021 - by Question Bank Software - Nov 10, 2020 - View & Read

• 1)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

  The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 3)

  The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

• 4)

  Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is

• 5)

  The product of r consecutive positive integers is divisible by _________

11th Standard Maths Important Question - by Question Bank Software - Feb 04, 2020 - View & Read

• 1)

  By taking suitable sets A, B, C, verify the following results:
  C-(B-A) = (C\(\cap \) A) \(\cup \) (C\(\cap \)B')

• 2)

  Discuss the following relations for reflexivity, symmetricity and transitivity:
  Let A be the set consisting of all the members of a family. The relation R defined by "aRb if a is not a sister of b".

• 3)

  Discuss the following relations for reflexivity, symmetricity and transitivity :
  On the set of natural numbers, the relation R is defined by "xRy if x + 2y = 1".

• 4)

  Draw the curves of
  (i) y = x² + 1
  (ii) Y = (x + 1)² by using the graph of curve y = x.

11th Maths - Full Portion Five Marks Question Paper - by 8682895000 - Jan 21, 2020 - View & Read

• 1)

  A simple cipher takes a number and codes it, using the function f(x) = 3x - 4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x(by drawing the lines)

• 2)

  Graph the function f(x) = x³ and \(g(x)=\sqrt[3]x\) on the same co-ordinate plane. Find f o g and graph it on the plane as well. Explain your results.

• 3)

  Write the values of f at -3, 5, 2, -1, 0 if
  \(f(x)=\begin{cases} x^2+x-5\quad if\ x \in(-\infty, 0) \\x^2+3x-2\quad if\ x\in(3,\infty) \\x^2\quad \quad \quad \quad \quad if\ x\ \in(0,2) \\x^2-3 \quad \quad \quad otherwise \end{cases}\)

• 4)

  If a² = by + cz, b² = cz + ax and c² ax + by, prove that \({{x}\over{a+x}}+{{y}\over{b+y}}+{{z}\over{c+z}}=1.\)

• 5)

  Determine the region in the plane determined by the inequalities.
  \(2x+3y\le 6,\ x+4y\le 4,\ x\ge 0,\ y\ge 0.\)

11th Maths - Full Portion Three Marks Question Paper - by 8682895000 - Jan 21, 2020 - View & Read

• 1)

  The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. On the same day function for exchanging Singapore dollar to Indian Rupee is g(y) = 50.50y, Where y represents the number of Singapore dollars. Write a function which will give the exchange rate of American dollars in terms of Indian rupee

• 2)

  Find the domain of \(\frac { 1 }{ 1-2sinx } \)

• 3)

  Check whether the following for one-to-oneness and ontoness.
  (i) \(f:R\rightarrow R\) defined by f(x) \(f(x)={1\over x}.\)
  (ii) \(f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}\) defined by \(f(x)=\frac{1}{x}\)

• 4)

  Compute log₃5 log₂₅27

• 5)

  For each given Angle, find a coterminal angle with a measure of \(\theta\) such that \(0^o\le \theta \le 360°\) 
  395⁰ 

11th Maths - Full Portion Two Marks Question Paper - by 8682895000 - Jan 21, 2020 - View & Read

• 1)

  State whether the following sets are finite or infinite.
  {x \(\in \) Z : x is even and less than 10}

• 2)

  Discuss the following relations for reflexivity, symmetricity and transitivity :
  Let A be the set consisting of all the female members of a family. The relation R defined by "aRb if a is not a sister of b".

• 3)

  Discuss the following relations for reflexivity, symmetricity and transitivity :
  On the set of natural numbers, the relation R is defined by "xRy if x + 2y = 1".

• 4)

  Find the range of the following functions given by f(x) = 1 + 3 cos 2x.

• 5)

  Simplify \(\left( 125 \right) ^{ \frac { 2 }{ 3 } }\)

11th Maths - Public Exam Model Question Paper 2019 - 2020 - by Question Bank Software - Jan 17, 2020 - View & Read

• 1)

  Which one of the following is not a singleton set?

• 2)

  The value of \({ log }_{ \sqrt { 2 } }512\) is

• 3)

  If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D = _______________

• 4)

  In ²ⁿC₃ : ⁿC₃ = 11 : 1 then n is

• 5)

  Expansion of \(log(\sqrt \frac{1+x}{1-x})\) is ______________

11th Maths - Revision Model Question Paper 2 - by Question Bank Software - Jan 17, 2020 - View & Read

• 1)

  For any four sets A, B, C and D, which of the following is not true?

• 2)

  The number of roots of (x + 3)⁴+ (x + 5)⁴ = 16 is

• 3)

  If tan x = \(\frac { -1 }{ \sqrt { 5 } } \) and x lies in the IV quadrant, then the value of cos x is ___________

• 4)

  In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 5)

  The coefficient of x⁵ in the series e^-2x is

11th Maths - Binomial Theorem, Sequences and Series Model Question Paper - by Question Bank Software - Nov 27, 2019 - View & Read

• 1)

  The sequence \(\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } }, \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } },...... \)form an 

• 2)

  The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

• 3)

  The coefficient of x⁵ in the series e^-2x is

• 4)

  The term without x in \({ \left( 2x-\frac { 1 }{ 2{ x }^{ 2 } } \right) }^{ 12 }\) is ______________

• 5)

  The value of \({ 9 }^{ \frac { 1 }{ 3 } }\) ,\({ 9 }^{ \frac { 1 }{ 9 } }\)\({ 9 }^{ \frac { 1 }{ 27}}\),\(\infty \) is ______________

11th Maths - Combinations and Mathematical Induction Model Question Paper - by Question Bank Software - Nov 27, 2019 - View & Read

• 1)

  In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

• 2)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 3)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

• 4)

  Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is _________

• 5)

  The product of r consecutive positive integers is divisible by _________

11th Maths - Trigonometry Model Question Paper - by Question Bank Software - Nov 27, 2019 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  cos1⁰ + cos2⁰ + cos3⁰ +: : : + cos179⁰ =

• 3)

  \(\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA } \) is

• 4)

  If tan A = \(\frac { a }{ a+1 } \) and B = \(\frac { 1 }{ 2a+1 } \) then the value of A + B is ___________

• 5)

  cos p = \(\frac { 1 }{ 7 } \) and cos Q = \(\frac { 13 }{ 14 } \) where P, Q are angles, then P-Q is _______________

11th Maths - Basic Algebra Important Questions - by Question Bank Software - Nov 21, 2019 - View & Read

• 1)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 2)

  The value of log_a b log_b c log_c a is

• 3)

  If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x² + dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

• 4)

  If |x + 3| ≥ 10 then ___________

• 5)

  The logarithmic form of 5² = 25 is ___________

11th Maths - Sets, Relations and Functions Important Questions - by Question Bank Software - Nov 21, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 3)

  Let A and B be subsets of the universal set N, the set of natural numbers. Then A^'∪[(A⋂B)∪B^'] is

• 4)

  If n(A) = 2 and n(B ∪ C) = 3, then n[(A \(\times\) B) ∪ (A \(\times\) C)] is

• 5)

  If two sets A and B have 17 elements in common, then the number of elements common to the set A \(\times\)B and B \(\times\)A is

12th Maths Half Yearly Model Question Paper 2019 - by Question Bank Software - Nov 12, 2019 - View & Read

• 1)

  The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x²+y²| ≤ 2, then which one of the following is true?

• 2)

  Domain of the function \(y={x-1\over x+1}\) is __________

• 3)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 4)

  \(\sqrt [ 4 ]{ { \left( -2 \right) }^{ 4 } } \times { \left( -1000 \right) }^{ \frac { 1 }{ 3 } }\) is ___________

• 5)

  Which of the following is not true?

11th Standard Maths - Term II Model Question Paper - by Shankar - Pudukkottai - Oct 30, 2019 - View & Read

• 1)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 2)

  Let A and B be subsets of the universal set N, the set of natural numbers. Then A^'∪[(A⋂B)∪B^'] is

• 3)

  If 3 is the logarithm of 343, then the base is

• 4)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 5)

  In \(\triangle\)ABC, \(\hat{C}\) = 90° then a cos A + b cos B is _______________

11th Standard Maths - Introduction To Probability Theory Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  An integer is chosen at random from the first ten positive integers. Find the probability that it is (i) an even number (ii) multiple of three.

• 2)

  A die is rolled. If it shows an odd number, then find the probability of getting 5.

• 3)

  Suppose a fair die is rolled. Find the probability of getting (i) an even number (ii) multiple of three.

• 4)

  If A and B are two events associated with a random experiment for which P(A) = 0.35, P(A or B) = 0.85, and P(A and B) = 0.15. Find (i) P(only B) (ii) \(P(\bar{B})\) (iii) P(only A)

• 5)

  A die is thrown twice. Let A be the event, ‘First die shows 5’ and B be the event 'second die shows 5’. Find \(P(A\cup B)\) .

11th Standard Maths - Integral Calculus Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  Evaluate \(\int { \frac { { x }^{ 4 }+{ x }^{ 2 }+1 }{ { x }^{ 2 }+x-1 } } \)dx

• 2)

  Evaluate \(\int { \frac { { sin }^{ 6 }x+cos^{ 6 }x }{ sin^{ 2 }xcos^{ 2 }x } } \)

• 3)

  Evaluate \(\int { \frac { \left( { a }^{ x }+{ b }^{ x } \right) ^{ 2 } }{ { a }^{ x }{ b }^{ x } } } \)dx

• 4)

  Evaluate if f'(x) = 3x² - \(\frac { 2 }{ { x }^{ 3 } } \) and f (1) = 0, find f (x)

• 5)

  Evaluate \(\int { \sqrt { 1+sinx } } \) dx, 0 < x < \(\frac { \pi }{ 2 } \)

11th Standard Maths - Differential Calculus - Differentiability and Methods of Differentiation Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  Show that the function \(f\left( x \right) =\begin{cases} x-1,\quad x<2 \\ 2x-3,\quad x\ge 2 \end{cases}\)is not differentiable at x = 2.

• 2)

  Show  that\(f\left( x \right) ={ x }^{ 2 }\) is differentiable at x = 1 and find \(f^{ ' }\left( 1 \right) \)

• 3)

  Differentiate \(f\left( x \right) ={ e }^{ 2x }\)from first principles.

• 4)

  If \(y=\sqrt { x+1 } +\sqrt { x-1 } \) prove that\(\sqrt { { x }^{ 2 }+1 } \frac { dy }{ dx } =\frac { 1 }{ 2 } y.\)

• 5)

  If xy = 4, Prove that \(x\left( \frac { dy }{ dx } +{ y }^{ 2 } \right) =3y.\)

11th Maths - Differential Calculus - Limits and Continuity Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  Calculate \(\lim _{ x\rightarrow0}{|x| } \).

• 2)

  Use the graph to find the limits (if it exists). If the limit does not exist, explain why?
  \(lim_{x\rightarrow{1}}sin \pi x\)
  

• 3)

  The velocity in ft/sec of a falling object is modeled by \(r(t)=-\sqrt{32\over k}{1-e^{2t\sqrt{32k}}\over1+e^{-2r\sqrt{32k}}}\), where k is a constant that depends upon the size and shape of the object and the density of the air. Find the  limiting velocity of the object, that is, find \(lim_{t\rightarrow \infty}r(t).\)

• 4)

  Find the left and right limits of \(f(x)={x^2-4\over (x^2+4x+4)(x+3)}at \ x=-2\) .

• 5)

  Evaluate the following limits \(lim_{x\rightarrow\infty}{x^4-5x\over x^2-3x+1 }\)

11th Maths - Vector Algebra I Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  Find the value of \(\lambda\) for which the vectors \(\overrightarrow{a}=3\hat{i}+2\hat{j}+9\hat{k} \) and \(\overrightarrow{b}=\overrightarrow{i}+\lambda \overrightarrow{j}+3\overrightarrow{k}\) are parallel.

• 2)

  Show that the following vectors are coplanar \(\hat{i}\) − 2\(\hat{j}\) + 3\(\hat{k}\), - 2\(\hat{i}\) + 3\(\hat{j}\) - 4\(\hat{k}\) ,-\(\hat{j}\) + 2\(\hat{k}\) .

• 3)

  Show that the following vectors are coplanar 5\(\hat{i}\) +6\(\hat{j}\) +7\(\hat{k}\) ,7 \(\hat{i}\) -8\(\hat{j}\) +9 \(\hat{k}\),3\(\hat{i}\)+20\(\hat{j}\) +5\(\hat{k}\) .

• 4)

  If \(|\overrightarrow{a}+\overrightarrow{b}|=|\overrightarrow{a}-\overrightarrow{b}|\) prove that \(\overrightarrow{a}\) and \(\overrightarrow{b}\) are perpendicular.

• 5)

  For any vector \(\overrightarrow{r}\) prove that \(\overrightarrow{r}\) = (\(\overrightarrow{r}.\hat{i}\)) \(\hat{i}\) + (\(\overrightarrow{r}.\hat{j}\)) \(\hat{j}\) + (\(\overrightarrow{r}.\hat{k}\)) \(\hat{k}\).

11th Maths - Matrices and Determinants Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

• 1)

  Prove that \(\begin{vmatrix} 1& a & a^2-bc \\1 &b &b^2-ca \\ 1 & c & c^2-ab \end{vmatrix}=0.\)

• 2)

  If a, b, c are p^th, q^th and r^th terms of an A.P, find the value of \(\begin{vmatrix} a & b & c \\ p & q & r \\ 1& 1 &1 \end{vmatrix}\)

• 3)

  Solve the following problems by using Factor Theorem :
  Solve \(\begin{vmatrix} x+a &b &c \\ a & x+b & c \\ a & b &x+c \end{vmatrix}=0\)

• 4)

  Identify the singular and non-singular matrices:\(\begin{bmatrix} 1&2 &3 \\ 4 & 5 &6 \\ 7 & 8 & 9 \end{bmatrix}\)

• 5)

  Identify the singular and non-singular matrices:\(\begin{bmatrix} 2&-3 &5 \\ 6 & 0 &4 \\ 1 & 5 & -7 \end{bmatrix}\)

11th Standard Maths - Introduction To Probability Theory Model Question Paper - by Shankar - Pudukkottai - Oct 09, 2019 - View & Read

• 1)

  Four persons are selected at random from a group of 3 men, 2 women, and 4 children. The probability that exactly two of them are children is

• 2)

  A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

• 3)

  A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

• 4)

  If A and B are two events such that A ⊂ B and P(B)\(\neq o\), then which of the following is correct?

• 5)

  A number x is chosen at random from the first 100 natural numbers. Let A be the event of numbers which satisfies\({(x-10)(x-50)\over x-30}\ge0\), then P(A) is

11th Standard Maths - Integral Calculus Model Question Paper - by Shankar - Pudukkottai - Oct 09, 2019 - View & Read

• 1)

  If \(\int f(x) d x=g(x)+c\), then \(\int f(x) g^{\prime}(x) d x\)

• 2)

  \(\int \frac{e^{6 \log x}-e^{5 \log x}}{e^{4 \log x}-e^{3 \log x}} d x\) is

• 3)

  \(\int \tan ^{-1} \sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}} d x\) is

• 4)

  \(\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x\) is

• 5)

  \(\int \frac{x^2+\cos ^2 x}{x^2+1} \operatorname{cosec}^2 x d x\) is

11th Standard Maths - Two Dimensional Analytical Geometry Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  If the sum of the distance of a moving point in a plane from the axis is 1, then find the locus of the point.

• 2)

  Find the equation of the line passing through the point (5, 2) and perpendicular to the line joining the points (2, 3) and (3, -1).

• 3)

  Find the equation of the straight line which passes through the intersection of the straight lines 2x + Y= 8 and 3x - 2y + 7 = 0 and is parallel to the straight line 4x+ y-11 =0.

• 4)

  Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120^o with the positive direction of x-axis.

• 5)

  Find the equation of the line which passes through the point (- 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5: 3 by this point.

11th Standard Maths - Basic Algebra Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  Solve the quadratic equation 5^2x- 5^{x + 3}+ 125 = 5^x.

• 2)

  Solve \(\sqrt [ 8 ]{{{x}\over{x+3}} } -\sqrt{{{x+3}\over{x}}}=2.\)

• 3)

  A factory kept increasing its out-put by the same percentage every year. Find the percentage, if it is known that the output has doubled in the last two years.

• 4)

  Find the value of log₂ \(\left({{\sqrt [ 3 ]{4 } }\over{4^2\sqrt{8}}} \right).\)

• 5)

  Find x if \({{1}\over{2}}\) log₁₀ \((11+4\sqrt{7})\) = log₁₀ (2 + x).

11th Maths - Trigonometry Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  Expand cos (A + B + C). Hence prove that cos A cos B cos C = sin A sin B cos C + sin B sin C cos A + sin C sin A cos B, if A + B + C = \(\frac{\pi}{2}\)

• 2)

  What must be the radius of a circular running path, around which an athlete must run 5 times in order to describe 1 km?

• 3)

  In a circular of diameter 40 cm, a chord is of length 20 cm. FInd the length of the minor arc of the chord?

• 4)

  If in two Circles, arcs of the same length subtend angles 60⁰ and 75⁰ at the center, find the ratio of their radii

• 5)

  Prove that sin 75^o - sin 15^o = cos 105^o + cos 15^o

11th Maths - Combinations and Mathematical Induction Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85^th string?

• 2)

  Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4 and 5 repetitions not allowed?

• 3)

  Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?

• 4)

  Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three on the other side. Determine the number of ways in which the seating arrangement can be made?

• 5)

  If p(h) is the statement "n² + n is even" and if p(r) is true, then p(r + 1) is true.

11th Maths - Binomial Theorem, Sequences and Series Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  Find \(\sqrt [ 3 ]{ 1001 } \) approximately. (two decimal places).

• 2)

  Prove that \(\sqrt [ 3 ]{ { x }^{ 3 }+6 } -\sqrt [ 3 ]{ { x }^{ 3 }+3 } \) is approximately equal to \(\frac { 1 }{ { x }^{ 2 } } \) when x is sufficiently large.

• 3)

  The first term of a G.P is 1. The sum of third and fifth terms is 90. Find the common ration of the G.P

• 4)

  Find all the sequence which are simultaneously arithmetic and geometric progression.

• 5)

  If the m^th term of a H.P is n and n^th term is m, then show that its p^th  term is \(\frac{mn}{p}\).

11th Maths - Sets, Relations and Functions Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

• 1)

  Graph the function f(x) = x³ and \(g(x)=\sqrt[3]x\) on the same co-ordinate plane. Find f o g and graph it on the plane as well. Explain your results.

• 2)

  Write the steps to obtain the graph of the function y = 3(x-1)²+5 from the graph y = x²

• 3)

  By taking suitable sets A, B, C, verify the following results:
  (A\(\times\) B)\(\cap \)(B\(\times\)A) = (A\(\cap \)B) \(\times\) (B\(\cap \)A)

• 4)

  By taking suitable sets A, B, C, verify the following results:
  C-(B-A) = (C\(\cap \) A) \(\cup \) (C\(\cap \)B')

• 5)

  If A\(\times\) A has 16 elements, S = {(a, b) \(\in \) A\(\times\) A:a < b}; (−1, 2) and (0, 1) are two elements of S, then find the remaining elements of S.

11th Standard Maths - Differential Calculus - Differentiability and Methods of Differentiation Model Question Paper - by Shankar - Pudukkottai - Oct 01, 2019 - View & Read

• 1)

  If \(y={1\over a-z}\) , then \({dz\over dy}\) is

• 2)

  If y = mx + c and f(0) =\(f '(0)=1\), then f(2) is

• 3)

  \({d\over dx}(e^{x+5log \ x})\) is

• 4)

  \(x={1-t^2\over 1+t^2},y={2t\over 1+t^2}\) then \({dy\over dx}\)is

• 5)

  The differential coefficient of log₁₀ x with respect to log_x10 is

11th Standard Maths - Differential Calculus - Limits and Continuity Model Question Paper - by Shankar - Pudukkottai - Oct 01, 2019 - View & Read

• 1)

  \(lim_{x\rightarrow\infty}{sin \ x \over x} \)

• 2)

  If f(x) = x(-1)^{\(\left\lfloor 1\over x \right\rfloor \)}, \(x\le0\), then the value of \(lim_{x\rightarrow 0}f(x)\) is equal to

• 3)

  If \(lim_{x \rightarrow 0}{sin \ px\over tan \ 3x}=4\) , then the value of p is

• 4)

  \(lim_{x \rightarrow 0}{e^{tan \ x}-e^x\over tan x-x}=\)

• 5)

  The function \(f(x)= \begin{cases}\frac{x^{2}-1}{x^{3}+1} & x \neq-1 \\ P & x=-1\end{cases}\)is not defined for x = −1. The value of f(−1) so that the function extended by this value is continuous is

11th Standard Maths - Matrices and Determinants Model Question Paper - by Shankar - Pudukkottai - Sep 26, 2019 - View & Read

• 1)

  If A = \(\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}\), then for what value of \(\lambda\), A² = O?

• 2)

  If A is a square matrix, then which of the following is not symmetric?

• 3)

  If A and B are symmetric matrices of order n, where (A \(\neq\) B), then

• 4)

  If the points (x,−2), (5, 2), (8, 8) are collinear, then x is equal to

• 5)

  If A is skew-symmetric of order n and C is a column matrix of order n \(\times\) 1, then C^T AC is

11th Standard Maths - Vector Algebra - I Model Question Paper - by Shankar - Pudukkottai - Sep 26, 2019 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  A vector \(\overrightarrow{OP}\) makes 60° and 45° with the positive direction of the x and y axes respectively.  Then the angle between \(\overrightarrow{OP}\)and the z-axis is

• 3)

  One of the diagonals of parallelogram ABCD with \(\overrightarrow{a}\) and \(\overrightarrow{b}\) as adjacent sides is \(\overrightarrow{a}+\overrightarrow{b}\) The other diagonal \(\overrightarrow{BD}\) is

• 4)

  The value of  \(\theta \in (0,{\pi\over 2})\) for which the vectors \(\overrightarrow{a}=(sin \theta)\hat{i}+(cos\theta)\hat{j}\) and \(\overrightarrow{b}=\hat{i}-\sqrt{3}\hat{j}+2\hat{k}\) are perpendicular, is equal to

• 5)

  If \(|\overrightarrow { a } |=|\overrightarrow { b } |\) then

11th Standard Maths - Introduction To Probability Theory Two Marks Questions Paper - by Question Bank Software - Sep 21, 2019 - View & Read

• 1)

  If an experiment has exactly the three possible mutually exclusive outcomes A, B, and C, check in each case whether the assignment of probability is permissible
  \(P(A)=\frac { 2 }{ 5 } ,\quad P(B)=\frac { 1 }{ 5 } ,\quad P(C)=\frac { 3 }{ 5 } \)

• 2)

  If an experiment has exactly the three possible mutually exclusive outcomes A, B, and C, check in each case whether the assignment of probability is permissible.
  P(A) = 0.421, P(B) = 0.527  P(C) = 0.042

• 3)

  There are two identical urns containing respectively 6 black and 4 red balls, 2 black and 2 red balls. An urn is chosen at random and a ball is drawn from it.
  (i) find the probability that the ball is black
  (ii) if the ball is black, what is the probability that it is from the first urn?

• 4)

  If two coins are tossed simultaneously, then find the probability of getting (i) one head and one tail (ii) at most two tails

• 5)

  Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that (i) one is a mango and the other is an apple (ii) both are of the same variety.

11th Maths - Integral Calculus Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

• 1)

  Integrate the following with respect to x : \(\frac{1}{x^{10}}\)

• 2)

  Integrate the following with respect to x : \(\sqrt{x}\)

• 3)

  IIntegrate the following with respect to x : \({cot \ x \over sin \ x}\)

• 4)

  Integrate the following with respect to x :\({1\over x^3}\)

• 5)

  Evaluate the following with respect to x : \(\int{\sqrt{(15-2x)}}dx\)

11th Maths - Differential Calculus - Differentiability and Methods of Differentiation Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

• 1)

  Differentiate the following with respect to x : \(y=(x-{1\over x})^2\)

• 2)

  Differentiate the following with respect to x : y = xe^x log x

• 3)

  Find the derivatives of the following functions with respect to corresponding independent variables: y = sin x + cos x

• 4)

  Differentiate the following: y = cos (tan x)

• 5)

  Differentiate the following: \(f(t)=\sqrt[3]{1+\tan t}\)

11th Maths - Differential Calculus - Limits and Continuity Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

• 1)

  In problem, using the table estimate the value of the limit
  \(lim_{x\rightarrow{0}}{\sqrt{x+3}-\sqrt{3}\over x}\)

  x	-0.1	-0.01	-0.001	0.001	0.01	0.1
  f(x)	0.2911	0.2891	0.2886	0.2886	0.2885	0.28631

• 2)

  In problem, using the table estimate the value of the limit
  \(lim_{x\rightarrow 0}{sin x\over x}\)

  x	-0.1	-0.01	-0.001	0.001	0.01	0.1
  f(x)	0.99833	0.99998	0.99999	0.99999	0.99998	0.99833

• 3)

  Compute \(lim_{x\rightarrow8}(5x)\)

• 4)

  Compute\(lim_{x\rightarrow-2}(-{3\over 2}x)\)

• 5)

  Find the positive integer n so that \(lim_{x\rightarrow 3}{x^n-3^n\over x-3}=27\)

11th Maths Unit 8 Vector Algebra I Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

• 1)

  If D and E are the midpoints of the sides AB and AC of a triangle ABC, prove that \(\overrightarrow{BE}+\overrightarrow{DC}={3\over2}\overrightarrow{BC}\) 

• 2)

  Find a unit vector along the direction of the vector 5\(\hat{i}\) - 3\(\hat{j}\) + 4\(\hat{k}\) .

• 3)

  Find the direction cosines of the line joining (2, 3, 1) and (3, - 1, 2).

• 4)

  Verify whether the following ratios are direction cosines of some vector or not \({4\over 3},0,{3\over 4}\)

• 5)

  Find the direction cosines and direction ratios for the following vectors. 5\(\hat{i}\) - 3\(\hat{j}\) - 48\(\hat{k}\)

11th Maths - Term 1 Model Question Paper - by Shankar - Pudukkottai - Sep 21, 2019 - View & Read

• 1)

  Let f:R➝R be defined by f(x) = 1 - |x|. Then the range of f is

• 2)

  The number of roots of (x + 3)⁴+ (x + 5)⁴ = 16 is

• 3)

  If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

• 4)

  In a \(\triangle\) ABC, C = 90° then the value of sin A + sin B - 2\(\sqrt{2} cos{A\over2}cos {B\over 2}is\) _______________

• 5)

  If P_r stands for ^r P_r then the sum of the series 1+ P₁ + 2P₂ + 3P₃ +...+ nP_n is

11th Maths Quarterly Exam Question Paper 2019 - by Question Bank Software - Sep 20, 2019 - View & Read

11th Standard Maths - Matrices and Determinants Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

• 1)

  If A =\(\begin{bmatrix} 0 &c &b \\ c & 0 &a \\ b & a & 0 \end{bmatrix}\), compute A²

• 2)

  Construct an m \(\times\) n matrix A = [a_ij], where a _ij is given by
  \(a_{ij}={(i-2j)^2\over 2}with \ m=2,n=3\)

• 3)

  Determine the value of x + y if \(\begin{bmatrix} 2x+y & 4x \\ 5x-7 & 4x \end{bmatrix}=\begin{bmatrix} 7 & 7y-13 \\ y & x+6 \end{bmatrix}\)

• 4)

  Evaluate :\(\begin{vmatrix} 2 & 4 \\ -1 & 2 \end{vmatrix}\) 

11th Maths - Two Dimensional Analytical Geometry Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

• 1)

  The sum of the squares of the distances of a moving point from two fixed points (a, 0) and (-0, 0) is equal to 2c². Find the equation to its locus.

• 2)

  Determine x so that the line passing through (3, 4) and (x, 5) makes 135° with the positive direction of x-axis.

• 3)

  Find the values of k for which the line (k - 3)x-(4-k²)y+(k²-7k + 6) = 0 passes through the origin.

• 4)

  Two sides of a square lie on the lines x + y = 1 and x + y + 2 = 0. What is its area?

• 5)

  If 9x² + 12xy + 4y² + 6x + 4y - 3 = 0 represents two parallel lines, find the distance between them.

11th Maths - Binomial Theorem, Sequences and Series Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

• 1)

  Expand \(\left( { 2x }^{ 2 }-3\sqrt { 1-{ x }^{ 2 } } \right) ^{ 4 }+({ 2x }^{ 2 }+3\sqrt { 1-{ x }^{ 2 }) } ^{ 4 }\)

• 2)

  Show that the sum of (m + n)^th and (m - n)^th term of an A.P is equal to twice the m^th term.

• 3)

  Using binomial theorem, indicate which of the following two number is larger (1.01)^1000000 (OR)10, 000

• 4)

  Find the last two digits of the number 3⁶⁰⁰

• 5)

  In the binomial expansion of (a+b)ⁿ the coefficients of the 4^th and 13^th terms are equal to each other, find n.

11th Maths - Combinations and Mathematical Induction Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

• 1)

  count the total number of ways of answering 6 objective type questions, each question having 4 choices

• 2)

  Find the value of \(\frac { 12! }{ 9!\times 3! } \)

• 3)

  Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?

• 4)

  Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

• 5)

  Prove that ¹⁵C₃ + 2 x ¹⁵C₄ + ¹⁵C₄ + ¹⁵C₅ = ¹⁷C₅.

11th Maths Trigonometry Two Marks Questions - by Question Bank Software - Sep 16, 2019 - View & Read

• 1)

  Identify the quadrant in which an angle of each given measure lies; 25⁰

• 2)

  Identify the quadrant in which an angle of each given measure lies; -55⁰

• 3)

  Two vehicles leave the same place P at the same time moving along two different roads. One vehicle moves at an average speed of 60 km/hr and the other vehicle moves at an average speed of 80 km/hr. After half an hour the vehicle reach the destinations A and B. If AB subtends 60^o at the initial point P, then find AB.

• 4)

  Show that \(\frac { (cos\theta -cos3\theta )(sin8\theta +sin2\theta ) }{ (sin5\theta -sin\theta )(cos4\theta -cos6\theta ) } =1\)

• 5)

  For each given Angle, find a coterminal angle with a measure of \(\theta\) such that \(0^o\le \theta \le 360°\) 
  -450⁰ 

11th Maths - Basic Algebra Two Marks Questions - by Question Bank Software - Sep 16, 2019 - View & Read

• 1)

  Solve for x \(\left| x \right| -10<-3\)

• 2)

  Solve \(-3\left| x \right| +5\le -2\) and graph the solution set in a number line.

• 3)

  Compute \({ log }_{ 9 }^{ 27 }-{ log }_{ 27 }^{ 9 }\)

• 4)

  Prove \(log\frac { { a }^{ 2 } }{ bc } +log\frac { b^{ 2 } }{ ca } +log\frac { c^{ 2 } }{ ab } =0\)

• 5)

  Discuss the nature of roots of 4x² - x - 2 = 0

11th Maths Chapter 1 Sets, Relations and Functions Two Marks Questions - by Question Bank Software - Sep 16, 2019 - View & Read

• 1)

  State whether the following sets are finite or infinite.
  {x \(\in \) N : x is an odd prime number}

• 2)

  State whether the following sets are finite or infinite.
  {x \(\in \) Z : x is even and less than 10}

• 3)

  Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1) (y, 2) (z, 1) are in A\(\times\)B, find A and B, where x, y, z are distinct elements.

• 4)

  Let X = {a, b, c, d}, and R = {(a, a) (b, b) (a, c)}. Write down the minimum number of ordered pairs to be included to R to make it 
  (i) reflexive
  (ii) symmetric
  (iii) transitive
  (iv) equivalence

• 5)

  If U = {x : 1 ≤ x ≤ 10, x ∈ N}, A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 9, 10} then find A'UB'.

11th Maths - Term 1 Five Mark Model Question Paper - by Question Bank Software - Sep 16, 2019 - View & Read

• 1)

  Discuss the following relations for reflexivity, symmetricity and transitivity :
  The relation R defined on the set of all positive integers by "mRn if m divided n".

• 2)

  Resolve the following rational expressions into partial fractions.
  \({{1}\over{x^2-a^2}}\)

• 3)

  Show that \(\frac { sin8x\ cosx-sin6x\ cos3x }{ cos2x\ cosx-sin3x\ sin4x } =tan2x\)

11th Maths Quarterly Model Question Paper - by Question Bank Software - Sep 13, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 3)

  \(n(A\cap B)=4\) and \((A\cup B)=11\) then \(n(p(A\triangle B))\) is __________

• 4)

  If A and B are any two finite sets having m and n elements respectively then the cardinality of the power set of A \(\times\) B is ___________

• 5)

  If 3 is the logarithm of 343, then the base is

TN 11th Standard Maths Official Model Question Paper 2019 - 2020 - by Question Bank Software - Sep 10, 2019 - View & Read

11th Maths - Introduction To Probability Theory Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

• 1)

  Four persons are selected at random from a group of 3 men, 2 women, and 4 children. The probability that exactly two of them are children is

• 2)

  Two items are chosen from a lot containing twelve items of which four are defective, then the probability that at least one of the item is defective

• 3)

  A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

• 4)

  If two events A and B are independent such that P(A) = 0.35 and \(P(A\cup B)=0.6\), then P(B) is

• 5)

  There are three events A, B, and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is

11th Maths - Integral Calculus Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

• 1)

  If \(\int f(x) d x=g(x)+c\), then \(\int f(x) g^{\prime}(x) d x\)

• 2)

  If \(\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x\) is

• 3)

  \(\int \frac{\sec x}{\sqrt{\cos 2 x}} d x\) is

• 4)

  \(\int \frac{e^x\left(x^2 \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^2+1} d x\) is

• 5)

  \(\int \sqrt{\frac{1-x}{1+x}} d x\) is

11th Maths Unit 10 Differential Calculus - Differentiability and Methods of Differentiation Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

• 1)

  If y = f(x²+2) and f '(3) = 5, then \({dy\over dx}\) at x = 1 is

• 2)

  If y = mx + c and f(0) =\(f '(0)=1\), then f(2) is

• 3)

  \(x={1-t^2\over 1+t^2},y={2t\over 1+t^2}\) then \({dy\over dx}\)is

• 4)

  If pv = 81, then \({dp\over dv}\) at v = 9 is

• 5)

  If \(f(x)=\left\{\begin{array}{l} x+1, \quad \text { when } x<2 \\ 2 x-1 \text { when } x \geq 2 \end{array}\right.\), then f'(2) is

11th Maths Unit 9 Differential Calculus - Limits and Continuity Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

• 1)

  \(lim_{x\rightarrow\infty}{sin \ x \over x} \)

• 2)

  \(lim_{x\rightarrow {\pi/2}}{2x-\pi\over cosx} \)

• 3)

  \(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

• 4)

  If f(x) = x(-1)^{\(\left\lfloor 1\over x \right\rfloor \)}, \(x\le0\), then the value of \(lim_{x\rightarrow 0}f(x)\) is equal to

• 5)

  If f : \(R \rightarrow R\) is defined by f(x)=\(\left\lfloor x-3 \right\rfloor +|x-4|\) for \(x \in R\), then \(lim_{x\rightarrow 3^-}f(x)\) is equal to

11th Standard Chapter 8 Vector Algebra - I Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  A vector makes equal angle with the positive direction of the coordinate axes. Then each angle is equal to

• 3)

  The vectors \(\overrightarrow{a}-\overrightarrow{b},\overrightarrow{b}-\overrightarrow{c},\overrightarrow{c}-\overrightarrow{a}\) are

• 4)

  If \(\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}\) are the position vectors of three collinear points, then which of the following is true?

• 5)

  If \(\lambda \hat{i}+2\lambda \hat{j}+2\lambda \hat{k}\) is a unit vector, then the value of \(\lambda\) is

11th Standard Maths Unit 7 Matrices and Determinants Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

• 1)

  If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

• 2)

  What must be the matrix X, if 2x +\(\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?\)

• 3)

  If A is a square matrix, then which of the following is not symmetric?

• 4)

  If A = \(\begin{bmatrix}a & x \\ y& a \end{bmatrix}\) and if xy = 1, then det (A A^T ) is equal to

• 5)

  If the points (x,−2), (5, 2), (8, 8) are collinear, then x is equal to

11th Standard Maths Unit 6 Two Dimensional Analytical Geometry Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

• 1)

  The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

  Which of the following point lie on the locus of 3x²+ 3y²- 8x - 12y + 17 = 0

• 3)

  Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

• 4)

  The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

• 5)

  The equation of the line with slope 2 and the length of the perpendicular from the origin equal to \(\sqrt5\) is

11th Standard Maths - Binomial Theorem, Sequences and Series Book Back Questions - by Question Bank Software - Sep 03, 2019 - View & Read

• 1)

  If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

• 2)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 3)

  The n^th term of the sequence \(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 } \),......is

• 4)

  The coefficient of x⁵ in the series e^-2x is

• 5)

  The value of 2 + 4 + 6 + + 2n is

11th Standard Maths - Combinations and Mathematical Induction Book Back Questions - by Question Bank Software - Sep 02, 2019 - View & Read

• 1)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

  The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 3)

  The product of r consecutive positive integers is divisible by

• 4)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 5)

  The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

11th Standard Maths - Trigonometry Book Back Questions - by Question Bank Software - Sep 02, 2019 - View & Read

• 1)

  If cos 28⁰+ sin 28⁰ = k³, then cos 17⁰ is equal to

• 2)

  If \(\pi <2\theta <\frac { 3\pi }{ 2 } \), then \(\sqrt { 2+\sqrt { 2+2cos4\theta } } \) equals to

• 3)

  If cos pፀ + cos qፀ = 0 and if p ≠ q, then ፀ is equal to (n is any integer)

• 4)

  In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

• 5)

  The triangle of maximum area with constant perimeter 12m

11th Standard Maths Unit 2 Basic Algebra Book Back Questions - by Question Bank Software - Aug 31, 2019 - View & Read

• 1)

  Given that x, y and b are real numbers x < y, b > 0, then

• 2)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 3)

  If a and b are the roots of the equation x²- kx + 16 = 0 and a²+ b² = 32, then the value of k is

• 4)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 5)

  The value of log₃ 11.log₁₁ 13.log₁₃ 15.log₁₅ 27.log₂₇ 81 is

11th Standard Maths Sets, Relations and Functions Book Back Questions - by Question Bank Software - Aug 30, 2019 - View & Read

• 1)

  Let R be the universal relation on a set X with more than one element. Then R is

• 2)

  Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4),(4, 1)}. Then R is

• 3)

  The range of the function \({1\over 1-2sinx}\) is

• 4)

  The range of the function \(f(x) = \left| \left\lfloor x \right\rfloor - x \right| ,x \in R\)  is 

• 5)

  The rule f(x) = x² is a bijection if the domain and the co-domain are given by

11th Standard Maths Unit 9 Differential Calculus - Limits and Continuity One Mark Question with Answer Key - by Question Bank Software - Aug 29, 2019 - View & Read

• 1)

  \(lim_{x\rightarrow\infty}{sin \ x \over x} \)

• 2)

  \(lim_{x\rightarrow {\pi/2}}{2x-\pi\over cosx} \)

• 3)

  \(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

• 4)

  \(lim_{x \rightarrow 0}{a^x-b^x\over x}=\)

• 5)

  \(\lim _{ x\rightarrow \infty }{ \left( \frac { 1 }{ x } +2 \right) } \)is equal to

11th Standard Maths Unit 8 Vector Algebra - I One Mark Question with Answer Key - by Question Bank Software - Aug 29, 2019 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  If \(\overrightarrow{a}+2\overrightarrow{b}\) and \(3\overrightarrow{a}+m\overrightarrow{b}\) are parallel, then the value of m is

• 3)

  The unit vector parallel to the resultant of the vectors \(\hat{i}+\hat{j}-\hat{k}\) and \(\hat{i}-2\hat{j}+\hat{k}\) is

• 4)

  A vector \(\overrightarrow{OP}\) makes 60° and 45° with the positive direction of the x and y axes respectively.  Then the angle between \(\overrightarrow{OP}\)and the z-axis is

• 5)

  If \(\overrightarrow{BA}=3\hat{i}+2\hat{j}+\hat{k}\) and the position vector of B is \(\hat{i}+3\hat{j}-\hat{k}\) ,then the position vector of A is

11th Standard Maths - Matrices and Determinants One Mark Question and Answer - by Question Bank Software - Aug 28, 2019 - View & Read

• 1)

  If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

• 2)

  Which one of the following is not true about the matrix \(\begin{bmatrix} 1 &0 &0 \\ 0 & 0 &0 \\ 0 & 0 & 5 \end{bmatrix}?\)

• 3)

  If A = \(\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}\), then for what value of \(\lambda\), A² = O?

• 4)

  If A =\(\begin{bmatrix} 1& 2 &2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix}\) is a matrix satisfying the equation AA^T = 9I, where I is 3 \(\times\) 3 identity matrix, then the ordered pair (a, b) is equal to

• 5)

  The product of any matrix by the scalar_________is the null matrix.

11th Standard Maths Chapter 4 Combinations and Mathematical Induction One Mark Question and Answer - by Question Bank Software - Aug 27, 2019 - View & Read

• 1)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

  The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

• 3)

  The product of r consecutive positive integers is divisible by

• 4)

  If ^a2-a \(C_2 = ^{a^2-a}\) C₄ then the value of 'a' is

• 5)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

11th Maths Unit 5 Binomial Theorem, Sequences and Series One Mark Question with Answer Key - by Question Bank Software - Aug 27, 2019 - View & Read

• 1)

  If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

• 2)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 3)

  The n^th term of the sequence 1, 2, 4, 7, 11,... is

• 4)

  The sum of an infinite GP is 18. If the first term is 6, the common ratio is

• 5)

  If the sum of n terms of an A. P. be 3n² - n and its common difference is 6, then its first term is ______________

11th Maths - Two Dimensional Analytical Geometry One Mark Question and Answer - by Question Bank Software - Aug 27, 2019 - View & Read

• 1)

  The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

  Which of the following equation is the locus of (at², 2at)

• 3)

  The slope of the line which makes an angle 45^o with the line 3x- y = -5 are:

• 4)

  Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

• 5)

  The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

11th Maths Unit 3 Trigonometry - One Mark Questions Paper - by Question Bank Software - Aug 26, 2019 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  The maximum value of 4sin²x + 3 cos²x + \(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

• 3)

  cos1⁰ + cos2⁰ + cos3⁰ +: : : + cos179⁰ =

• 4)

  cos 2ፀ cos 2ф + sin²(ፀ - ф) - sin²(ፀ + ф) is equal to

• 5)

  If tan α and tan β are the roots of x² + ax + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

11th Maths Chapter 2 Basic Algebra One Mark Question Paper - by Question Bank Software - Aug 24, 2019 - View & Read

• 1)

  If |x+2| \(\le\) 9, then x belongs to

• 2)

  If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to

• 3)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 4)

  The value of log_a b log_b c log_c a is

• 5)

  If 3 is the logarithm of 343, then the base is

11th Standard Sets, Relations and Functions One Mark Questions - by Question Bank Software - Aug 23, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 3)

  The function f:R➝R be defined by f(x) = sinx + cosx is

• 4)

  If A⊆B, then A\B is  ________

• 5)

  Let R be a relation on the set N given by R = {(a,b) : a = b - 2, b > 6}. Then ____________

11th Maths Two Dimensional Analytical Geometry Model Question Paper - by Question Bank Software - Aug 20, 2019 - View & Read

• 1)

  The slope of the line which makes an angle 45^o with the line 3x- y = -5 are:

• 2)

  A line perpendicular to the line 5x - y = 0 forms a triangle with the coordinate axes. If the area of the triangle is 5 sq. units, then its equation is

• 3)

  If a vertex of a square is at the origin and its one side lies along the line 4x + 3y - 20 = 0, then the area of the square is

• 4)

  The equation of the bisectors of the angle between the co-ordinate axes are ______________

• 5)

  The equation of the straight line bisecting the line segment joining the points (2, 4) and (4, 2) and making an angle of 45^o with positive direction of x-axis is ______________

11th Maths Unit 5 Binomial Theorem, Sequences and Series Model Question Paper - by Question Bank Software - Aug 12, 2019 - View & Read

• 1)

  If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

• 2)

  The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

• 3)

  The value of the series\(\frac { 1 }{ 2 } +\frac { 7 }{ 4 } +\frac { 13 }{ 8 } +\frac { 19 }{ 16 } +\).....is

• 4)

  If \(\frac { { T }_{ 2 } }{ { T }_{ 3 } } \)is the expansion of (a+b)ⁿ and \(\frac { { T }_{ 3 } }{ { T }_{ 4 } } \) is the expansion of (a+b)ⁿ⁺³ are equal, then n = ______________

• 5)

  If in an infinite G. P. first term is equal to 10 times the sum of all successive terms, then its common ratio is ______________

11th Standard Maths First Mid Term Model Question Paper - by Question Bank Software - Aug 01, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  The shaded region in the adjoining diagram represents.
  

• 3)

  Find a so that the sum and product of the roots of the equation 2x²+ (a - 3) x + 3a - 5 = 0 are equal is

• 4)

  In a \(\triangle\) ABC, C = 90° then the value of sin A + sin B - 2\(\sqrt{2} cos{A\over2}cos {B\over 2}is\) _______________

• 5)

  If ⁿP_t = 720 nCr, then the value of r =  _________

11th Maths Chapter 4 Combinations and Mathematical Induction Sample Question Paper - by Question Bank Software - Jul 31, 2019 - View & Read

• 1)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 3)

  If ^a2-a \(C_2 = ^{a^2-a}\) C₄ then the value of 'a' is

• 4)

  The number of ways to average the letters of the word CHEESE are _________

• 5)

  Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is _________

11th Standard Maths Chapter 3 Trigonometry Important Question Paper - by Question Bank Software - Jul 26, 2019 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

• 3)

  \(\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA } \) is

• 4)

  If tan x = \(\frac { -1 }{ \sqrt { 5 } } \) and x lies in the IV quadrant, then the value of cos x is ___________

• 5)

  Which of the following is incorrect?

11th Standard Maths Unit 2 Basic Algebra Important Question Paper - by Question Bank Software - Jul 24, 2019 - View & Read

• 1)

  If |x+2| \(\le\) 9, then x belongs to

• 2)

  Given that x, y and b are real numbers x < y, b > 0, then

• 3)

  If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to

• 4)

  The solution 5x-1<24 and 5x+1 > -24 is

• 5)

  The solution set of the following inequality |x-1| \(\ge\) |x-3| is

11th Maths - Unit 1 Slip Test Question Paper - by Question Bank Software - Jul 18, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 3)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 4)

  Given A = {5,6,7,8}. Which one of the following is incorrect?

• 5)

  The shaded region in the adjoining diagram represents.
  

11th Standard Maths Public Exam March 2019 Important One Mark Questions - by Prishvi - Mar 11, 2019 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  Let f:R➝R be defined by f(x) = 1 - |x|. Then the range of f is

• 3)

  The function f:R➝R be defined by f(x) = sinx + cosx is

• 4)

  Given A = {5,6,7,8}. Which one of the following is incorrect?

• 5)

  If A = {(x,y) : y = e^x, x∈R} and B = {(x,y) : y = e^-x, x ∈ R} then n(A∩B) is

11th Standard Maths Public Exam March 2019 Important 5 Marks Questions and Solutions - by Prishvi - Mar 11, 2019 - View & Read

• 1)

  The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. On the same day function for exchanging Singapore dollar to Indian Rupee is g(y) = 50.50y, Where y represents the number of Singapore dollars. Write a function which will give the exchange rate of American dollars in terms of Indian rupee

• 2)

  A simple cipher takes a number and codes it, using the function f(x) = 3x - 4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x(by drawing the lines)

• 3)

  For the given curve, \(y=x^{1\over 3}\)given in  figure draw
  (i) \(y=-x^{ \left( \frac { 1 }{ 3 } \right) }\)
  (ii) ​\(y=x^{ \left( \frac { 1 }{ 3 } \right) }+1\)
  (iii)​ \(y=x^{ \left( \frac { 1 }{ 3 } \right) }-1\)
  (iii) ​\(y=(x+1)^{1\over 3}\)​
  

• 4)

  Discuss the following relations for reflexivity, symmetricity and transitivity:
  Let P denote the set of all straight lines in a plane. The relation R defined by "lRm if l is perpendicular to m".

• 5)

  Let A = {a, b, c, d}, B = {a, c, e}, C = {a, e}.
  Show that A ∩ (B ∩ C) = (A ∩ B) ∩ C

11th Standard Mathematics Sets, Relations and Functions Important Questions - by Prishvi - Mar 04, 2019 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  Let f:R➝R be defined by f(x) = 1 - |x|. Then the range of f is

• 3)

  The shaded region in the adjoining diagram represents.
  

• 4)

  Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 5)

  If f : R➝R is given by f(x) = 3x - 5, then f^-1(x) is __________

11th Standard Maths Public Exam Official Model Question Paper 2019 - by Prishvi - Mar 04, 2019 - View & Read

• 1)

  The shaded region in the adjoining diagram represents.
  

• 2)

  If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is

• 3)

  The value of log₃ 11.log₁₁ 13.log₁₃ 15.log₁₅ 27.log₂₇ 81 is

• 4)

  The maximum value of 4sin²x + 3 cos²x + \(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

• 5)

  The maximum value of 3 sin θ+4 cos θ is _______________

11th Standard Maths Public Exam March 2019 Model Test Question Paper - by Prishvi - Mar 04, 2019 - View & Read

• 1)

  If two sets A and B have 17 elements in common, then the number of elements common to the set A \(\times\)B and B \(\times\)A is

• 2)

  The domain of the function \(f(x)=\sqrt{ x - 5 }+ \sqrt{6 - x}\) is 

• 3)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 4)

  \(\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right) \) =

• 5)

  In any ΔABC, a(b cosC - c Cos B) = __________

11th Standard Maths Third Revision Test Question Paper 2019 - by Prishvi - Feb 26, 2019 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  Which one of the following is false?

• 3)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 4)

  If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

• 5)

  If tan θ = \(\frac{-4}{3}\), then sin θ is _____________ 

11th Standard Maths Public Exam Important Creative Questions and Answers 2019 - by Prishvi - Feb 18, 2019 - View & Read

• 1)

  For real numbers x and y, define xRy if x - y + √2 is an irrational number. Then the relation R is __________

• 2)

  The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The number of students take at least one of these two subjects, is

• 3)

  If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to

• 4)

  If sin(45 ° + 10°) - sin(45° -10°) = \(\sqrt{2}\)sin x then x is ___________ 

• 5)

  If \(\alpha\) and \(\beta\) are two values of θ obtained from the equation a cos θ + b sin θ = c then the value of \(tan(\frac{\alpha+\beta}{2})\) is _______________

11th Standard Maths Public Exam Model Question Paper March 2019 - by Prishvi - Feb 18, 2019 - View & Read

• 1)

  If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is

• 2)

  If A = {x / x is an integer, x² \(\le\) 4} then elements of A are ___________

• 3)

  If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x² + dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

• 4)

  If \(\pi <2\theta <\frac { 3\pi }{ 2 } \), then \(\sqrt { 2+\sqrt { 2+2cos4\theta } } \) equals to

• 5)

  2 sin 5x cos x _______________

11th Maths Revision test Introduction to Probability Important 2 Mark Questions - by Palanivel - Jan 03, 2019 - View & Read

• 1)

  If A and B are two independent events such that, P(A) = 0.4 and P\((A\cup B)\) = 0.9. Find P(B).

• 2)

  A factory has two Machines-I and II. Machine-I produces 60% of items and Machine-II produces 40% of the items of the total output. Further 2% of the items produced by Machine-I are defective whereas 4% produced by Machine-II are defective. If an item is drawn at random what is the probability that it is defective?

• 3)

  There are two identical urns containing respectively 6 black and 4 red balls, 2 black and 2 red balls. An urn is chosen at random and a ball is drawn from it.
  (i) find the probability that the ball is black
  (ii) if the ball is black, what is the probability that it is from the first urn?

• 4)

  An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.
  P(A) = \(\frac { 2 }{ 5 } \),  P(B) = \(\frac { 3 }{ 5 } \),  P(C) = -\(\frac { 1 }{ 5 } \),  P(D) = \(\frac { 1 }{ 5 } \)

• 5)

  Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that (i) one is a mango and the other is an apple (ii) both are of the same variety.

+1 Maths Half Yearly Model Question Paper - by Prishvi - Dec 27, 2018 - View & Read

• 1)

  Let R be a relation on the set N given by R = {(a,b) : a = b - 2, b > 6}. Then ____________

• 2)

  If n(A) = 2 and n(B ∪ C) = 3, then n[(A \(\times\) B) ∪ (A \(\times\) C)] is

• 3)

  If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

• 4)

  \(\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right) \) =

• 5)

  Which of the following is incorrect?

11th Maths First Revision Test Questions and Answers - by Prishvi - Dec 27, 2018 - View & Read

• 1)

  If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is

• 2)

  \(n(A\cap B)=4\) and \((A\cup B)=11\) then \(n(p(A\triangle B))\) is __________

• 3)

  The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

• 4)

  The quadratic equation whose roots are tan 75° and cot 75° is _______________

• 5)

  The numerical value of tan^-11 + tan^-12 + tan^-13 = _______________

Integral Calculus Important Questions from the 11th Stateboard Mathematics - by Prishvi - Dec 14, 2018 - View & Read

• 1)

  If \(\int {3^{1\over x}\over x^2}dx=k(3^{1\over x})+c\), then the value of k is

• 2)

  \(\int \sin ^3 x d x\) is

• 3)

  \(\int \frac{d x}{e^x-1}\) is

• 4)

  \(\int \frac{\sec ^2 x}{\tan ^2 x-1} d x\) is

• 5)

  \(\int \frac{1}{x \sqrt{(\log x)^2-5}} d x\) is

Introduction To Probability Theory Important Questions from 11th Maths - by Prishvi - Dec 06, 2018 - View & Read

• 1)

  A, B, and C try to hit a target simultaneously but independently. Their respective probabilities of hitting the target are\({3\over4},{1\over2},{5\over 8}\). The probability that the target is hit by A or B but not by C is

• 2)

  A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

• 3)

  If two events A and B are independent such that P(A) = 0.35 and \(P(A\cup B)=0.6\), then P(B) is

• 4)

  If m is a number such that m \(\le\) 5, then the probability that quadratic equation 2x² + 2mx + m + 1 = 0 has real roots is

• 5)

  A speaks truth in 75% cases and B speaks truth in 80% cases. Probability that they contradict each other in a statement is

Plus One Maths One Marks Revision Test - by Prishvi - Dec 05, 2018 - View & Read

• 1)

  The inverse of f(x) = \(\begin{cases} x\quad if\quad x<1 \\ { x }^{ 2 }\quad if\quad 1\le x\le 4 \\ 8\sqrt { x } \quad if\quad x>4 \end{cases}\) is

• 2)

  The shaded region in the adjoining diagram represents.
  

• 3)

  If \(f:[-2,2]\rightarrow A\) is given by f(x) = 3³ then f is onto, if A is ___________

• 4)

  Which one of the following statements is false? The graph of the function \(f(x)={1\over x}\)

• 5)

  Which one of the following is false?

11th Mathematics Half yearly Model Question Paper 1 - by Prishvi - Nov 29, 2018 - View & Read

• 1)

  The shaded region in the adjoining diagram represents.
  

• 2)

  Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4),(4, 1)}. Then R is

• 3)

  If A = {x / x is an integer, x² \(\le\) 4} then elements of A are ___________

• 4)

  Solve \(\sqrt{7+6x-x^2}=x+1\)

• 5)

  For the below figure of ax² + bx + c = 0
  

Differential Calculus Important Five Marks Question In 11th Maths - by Prishvi - Sep 30, 2018 - View & Read

• 1)

  Check if \(lim_{x\rightarrow-58}f(x)\)exists or not, where \(f(x)=\left\{\begin{array}{cc} \frac{|x+5|}{x+5} & , \text { for } x \neq-5 \\ 0, & \text { for } x=-5 \end{array}\right.\)

• 2)

  \(f(x)= \begin{cases}\sin x, & x<0 \\ 1-\cos x, & 0 \leq x \leq \pi \\ \cos x, & x>\pi\end{cases}\)

• 3)

  Evaluate the following limits :
  \(lim_{x\rightarrow5}{\sqrt{x-1}-2\over x-5}\)

• 4)

  Evaluate the following limits :\(lim_{x\rightarrow 0}{\sqrt{1+sin x}-\sqrt{1-sinx}\over tanx}\)

• 5)

  State how continuity is destroyed at x = x_ofor each of the following graphs.
  

11th Maths Important Five Mark Question Paper 3 - by Prishvi - Sep 30, 2018 - View & Read

• 1)

  If \(\lambda \hat{i}+2\lambda \hat{j}+2\lambda \hat{k}\) is a unit vector, then the value of \(\lambda\) is

• 2)

  If \(\overrightarrow{a}=\hat{i}+2\hat{j}+2\hat{k},|\overrightarrow{b}|=5\) and the angle between \(\overrightarrow{a}\) and \(\overrightarrow{b}\) is \({\pi\over 6},\) then the area of the triangle formed by these two vectors as two sides, is

• 3)

  \(lim_{x\rightarrow o}{8^x-4^x-2^x+1^x\over x^2}=\)

• 4)

  \(lim_{n \rightarrow \infty}({1\over n^2}+{2\over n^2}+{3\over n^2}+..+{n\over n^2})\) is

• 5)

  The function \(f(x)= \begin{cases}\frac{x^{2}-1}{x^{3}+1} & x \neq-1 \\ P & x=-1\end{cases}\)is not defined for x = −1. The value of f(−1) so that the function extended by this value is continuous is

11th standard Maths- Important question-Trigonometry,Combinations and Mathematical Induction - by Prishvi - Sep 30, 2018 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  If cos 28⁰+ sin 28⁰ = k³, then cos 17⁰ is equal to

• 3)

  \(\frac { cos6x+6cos4x+15cos2x+10 }{ cos5x+5cos3x+10cosx } \) is equal to

• 4)

  cos 35⁰ + cos 85⁰ + cos 155⁰ = _______________

• 5)

  sin² \((22{1\over 2}^o)\) is ____________ 

11th standard maths-Important question-Sets, Relations and Functions,Basic Algebra - by Prishvi - Sep 30, 2018 - View & Read

• 1)

  Let f:R➝R be defined by f(x) = 1 - |x|. Then the range of f is

• 2)

  For real numbers x and y, define xRy if x - y + √2 is an irrational number. Then the relation R is __________

• 3)

  Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

• 4)

  If f : R➝R is given by f(x) = 3x - 5, then f^-1(x) is __________

• 5)

  Let R be the universal relation on a set X with more than one element. Then R is

11th Standard Maths Combinatorics and Mathematical Induction and Binomial Theorem, Sequences And Series important 5 Mark Questions - by Prishvi - Sep 30, 2018 - View & Read

• 1)

  Prove that ²ⁿC_{n =}  \(\frac { { 2 }^{ n }\times 1\times3\times ...(2n-1) }{ n! } \)

• 2)

  Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly three aces in each combination.

• 3)

  Prove 1.3 + 2.3² + 3.3³+...+n-3ⁿ=\(\frac{(2n-1)3^{n+1}+3}{4}\) for all n ∈ N

• 4)

  Prove that the sum of the first n non-zero even numbers is n² + n,

• 5)

  n² - n is divisible by 6, for each natural number n \(\ge\) 2.

11th Maths Important Five Mark Question Paper 4 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Let A={1,2,3,4} and B = {a,b,c,d}. Give a function from A\(\rightarrow\)B for each of the following:
  neither one- to -one and nor onto.

• 2)

  Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A\(\rightarrow\)B for each of the following:
  not one-to-one but onto.

• 3)

  Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A\(\rightarrow\)B for each of the following:
  one-to-one but not onto.

• 4)

  Find the largest possible domain of the real valued function f(x) =\(\frac { \sqrt { 4-{ x }^{ 2 } } }{ \sqrt { { x }^{ 2 }-9 } } \)

11th Maths Pre Half Yearly Question Paper - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

• 2)

  In a plane there are 10 points are there out of which 4 points are collinear, then the number of triangles formed is

• 3)

  If ⁿC₄,ⁿC₅,ⁿC₆ are in AP the value of n can be

• 4)

  The number of different signals which can be give from 6 flags of different colours taking one or more at a time is _________

• 5)

  The product of r consecutive positive integers is divisible by _________

11th Maths Important One Mark Question Paper - 2 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The sum of the digits at the 10^th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

• 2)

  In a plane there are 10 points are there out of which 4 points are collinear, then the number of triangles formed is

• 3)

  In ²ⁿC₃ : ⁿC₃ = 11 : 1 then n is

• 4)

  The product of r consecutive positive integers is divisible by _________

• 5)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is _________

11th Maths Important One Mark Question Paper 3 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  cos 2ፀ cos 2ф + sin²(ፀ - ф) - sin²(ፀ + ф) is equal to

• 3)

  \(\frac { cos6x+6cos4x+15cos2x+10 }{ cos5x+5cos3x+10cosx } \) is equal to

• 4)

  The angle between the minute and hour hands of a clock at 8.30 is ___________

• 5)

  If tan A = \(\frac { a }{ a+1 } \) and B = \(\frac { 1 }{ 2a+1 } \) then the value of A + B is ___________

11th Maths Important One Mark Question Paper 2 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 3)

  Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is

• 4)

  For real numbers x and y, define xRy if x - y + √2 is an irrational number. Then the relation R is __________

• 5)

  Let R be the relation over the set of all straight lines in a plane such that l₁Rl₂ ⇔ l₁丄l₂ . Then  R is __________

11th Maths Important Three Mark Question Paper - 5 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Find the principal value of \(sin^{ -1 }\left( \frac { 1 }{ \sqrt { 2 } } \right) \).

• 2)

  An airplane propeller rotates 1000 times per minute. Find the number of degree that a point on the edge of the propeller will rotate in 1 second

• 3)

  Find the principal solution and general solutions of the following : sin\(\theta\) = \(-\frac { 1 }{ \sqrt { 2 } } \)

• 4)

  Prove that \(\sin { 4\alpha } =4\tan { \alpha } \frac { 1-\tan ^{ 2 }{ \alpha } }{ { \left( 1+\tan ^{ 2 }{ \alpha } \right) }^{ 2 } } \)

• 5)

  Show that \(\cot { \left( 7\frac { 1° }{ 2 } \right) } =\sqrt { 2 } +\sqrt { 3 } +\sqrt { 4 } +\sqrt { 6 } \)

11th Maths Important Three Mark Question Paper - 1 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Prove that the relation "less than or equal to" (<) on the set R of real numbers is antisymmetric.

• 2)

  On the set of natural number let R be the relation defined by aRb if 2a + 3b = 30. Write down the relation by listing all the pairs. Check whether it is symmetric

• 3)

  Write a description of each shaded area. Use symbols U, A, B, C, U, ∩, ' and \ as necessary.
  

• 4)

  Find the range of the following functions given by  \( f(x) = \frac { 1 }{ 2-sin\ 3x } .\)

11th Maths Important Three Mark Question Paper - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If ^(n-1)P₃ :ⁿ P₄ = 1 : 10, find n

• 2)

  Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?

• 3)

  If ⁽ⁿ⁺²⁾C₇ : ^(n-1)P₄ = 13 : 24 find n.

• 4)

  Five boys and 5 girls form a line. Find the number of ways of making the seating arrangement under the following condition.

  	C1		C2
  (a)	Boys and girls sit alternate	(i)	5! \(\times\) 6!
  (b)	No two girls sit together	(ii)	10! - 5! 6!
  (c)	All the girls sit together	(iii)	(5 !)2 + (5!)2
  (d)	All the girls are never together	(iv)	2! 5! 5!

• 5)

  Write the n^th term of the following sequences
  2,2,4,4,6,6

11th Maths Important Two Mark Question Paper - 2 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Write the following in roster form. 
  {x\(\in \)N : x²<121 and x is a prime}

• 2)

  Write the following in roster form.
  The set of all positive roots of the equation (x-1)(x+1)(x²-1) = 0.

11th Standard Maths Model Question Paper - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  If \(\overrightarrow{a}+2\overrightarrow{b}\) and \(3\overrightarrow{a}+m\overrightarrow{b}\) are parallel, then the value of m is

• 3)

  If \(\overrightarrow{r}={9\overrightarrow{a}+7\overrightarrow{b}\over16}\), then the point P whose position vector \(\overrightarrow{r}\) divides the line joining the points with position vectors \(\overrightarrow{a}\) and \(\overrightarrow{b}\) in the ratio

• 4)

  Two vertices of a triangle have position vectors \(3\hat{i}+4\hat{j}-4\hat{k}\) and \(2\hat{i}+3\hat{j}+4\hat{k}\) . If the position vector of the centroid is \(\hat{i}+2\hat{j}+3\hat{k}\), then the position vector of the third vertex is

• 5)

  If \(|\overrightarrow{a}|=13,|\overrightarrow{b}|=5\)  and \(\overrightarrow{a}.\overrightarrow{b}=60^o\) then \(|\overrightarrow{a}\times\overrightarrow{b}|\) is

11th Maths Important Five Mark Question Paper 2 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Find all the angles between 0^o and 360^o which satisfy the equation \(\sin ^{ 2 }{ \theta } =\frac { 3 }{ 4 } \)

• 2)

  Show that \(\sin ^{ 2 }{ \frac { \pi }{ 18 } } +\sin ^{ 2 }{ \frac { \pi }{ 9 } } +\sin ^{ 2 }{ \frac { 7\pi }{ 18 } } +\sin ^{ 2 }{ \frac { 4\pi }{ 9 } } =2\)

• 3)

  Show that \(\frac { sin8x\ cosx-sin6x\ cos3x }{ cos2x\ cosx-sin3x\ sin4x } =tan2x\)

• 4)

  Show that \(\frac { (cos\theta -cos3\theta )(sin8\theta +sin2\theta ) }{ (sin5\theta -sin\theta )(cos4\theta -cos6\theta ) } =1\)

• 5)

  Prove that \(\frac { sin4x+sin2x }{ cos4x+cos2x } =tan3x\)

11th Maths Important Five Mark Question Paper - 1 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Integrate the following with respect to x : e^x

• 2)

  Integrate the following with respect to x : \((1+x^2)^{-1}\)

• 3)

  Integrate the following with respect to x : \(\left(1-x^2\right)^{-\frac{1}{2}}\)

• 4)

  Integrate the following functions with respect to x : \(sec^2{x\over5}\)

• 5)

  Integrate the following functions with respect to x : cosec(5x + 3) cot(5x + 3)

Binomial Theorem, Sequences And Series In Model Question Paper 1 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

  The n^th term of the sequence \(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 } \),......is

• 3)

  The sum up to n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +\).....is

• 4)

  If \(\frac { { T }_{ 2 } }{ { T }_{ 3 } } \)is the expansion of (a+b)ⁿ and \(\frac { { T }_{ 3 } }{ { T }_{ 4 } } \) is the expansion of (a+b)ⁿ⁺³ are equal, then n = ______________

• 5)

  If the first, second and last term of an A.P. are a, b and 2a respectively, then its sum is ______________

11th Maths Important Question In Basci Algebra - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The solution 5x-1<24 and 5x+1 > -24 is

• 2)

  The solution set of the following inequality |x-1| \(\ge\) |x-3| is

• 3)

  The value of \({ log }_{ \sqrt { 2 } }512\) is

• 4)

  The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

• 5)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

11th Maths Vector Algebra Model Question Paper 1 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  The value of \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{DA}+\overrightarrow{CD}\) is

• 2)

  The unit vector parallel to the resultant of the vectors \(\hat{i}+\hat{j}-\hat{k}\) and \(\hat{i}-2\hat{j}+\hat{k}\) is

• 3)

  The vectors \(\overrightarrow{a}-\overrightarrow{b},\overrightarrow{b}-\overrightarrow{c},\overrightarrow{c}-\overrightarrow{a}\) are

• 4)

  One of the diagonals of parallelogram ABCD with \(\overrightarrow{a}\) and \(\overrightarrow{b}\) as adjacent sides is \(\overrightarrow{a}+\overrightarrow{b}\) The other diagonal \(\overrightarrow{BD}\) is

• 5)

  If \(\overrightarrow{a},\overrightarrow{b}\) are the position vectors A and B, then which one of the following points whose position vector lies on AB, is

Differential Calculus Important Question 1 In 11th Maths - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If y = \({1\over4}u^4,u={2\over 3}x^3+5,\) then \({dy\over dx}\) is

• 2)

  If y = cos (sin x²), then \({dy\over dx}\) at x = \(\sqrt{\pi\over 2}\) is

• 3)

  If y = mx + c and f(0) =\(f '(0)=1\), then f(2) is

• 4)

  If f(x) = x tan^-1 x, then f '(1) is

• 5)

  If f(x) = x + 2, then f '(f(x)) at x = 4 is

Differential Calculus Important Question 2 In 11th Maths - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  \(lim_{x\rightarrow\infty}{sin \ x \over x} \)

• 2)

  \(lim_{x\rightarrow {\pi/2}}{2x-\pi\over cosx} \)

• 3)

  \(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

• 4)

  If f(x) = x(-1)^{\(\left\lfloor 1\over x \right\rfloor \)}, \(x\le0\), then the value of \(lim_{x\rightarrow 0}f(x)\) is equal to

• 5)

  \(lim_{n \rightarrow \infty}({1\over n^2}+{2\over n^2}+{3\over n^2}+..+{n\over n^2})\) is

11th Maths Introduction To Probability Theory Important Questions - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Four persons are selected at random from a group of 3 men, 2 women, and 4 children. The probability that exactly two of them are children is

• 2)

  Two items are chosen from a lot containing twelve items of which four are defective, then the probability that at least one of the item is defective

• 3)

  A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

• 4)

  A number x is chosen at random from the first 100 natural numbers. Let A be the event of numbers which satisfies\({(x-10)(x-50)\over x-30}\ge0\), then P(A) is

• 5)

  If two events A and B are independent such that P(A) = 0.35 and \(P(A\cup B)=0.6\), then P(B) is

11th Maths Important Five Mark Question Paper 1 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  Compute the sum of first n terms of the following series 8 + 88 + 888 + .......

• 2)

  Compute the sum of first n terms of the following series 6 + 66 + 666 + .......

• 3)

  Compute the sum of first n terms of 1 + (1 + 4) + (1 + 4 + 4²) + (1 + 4 + 4² + 4³) + ...

• 4)

  Find the general terms and sum to n terms of the sequence 1, \(\frac{4}{3},\frac{7}{9},\frac{10}{27},....\)

11th Maths Trigonometry Important Question Paper 2 - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

• 2)

  Let f_k(x) = \(\frac { 1 }{ k } \)[sin^kx + cos^kx] where x\(\in \)R and k ≥ 1. Then f₄(x) - f₆(x) =

• 3)

  If sin α + cos α = b, then sin 2α is equal to

• 4)

  If cosec x + cot x = \(\frac { 11 }{ 2 } \) then tan x = ___________

• 5)

  The value of sin²\(\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 } \) is ___________

11th Maths Important Question Paper-Trigonometry - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If tan40⁰ = λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \) =

• 2)

  Let f_k(x) = \(\frac { 1 }{ k } \)[sin^kx + cos^kx] where x\(\in \)R and k ≥ 1. Then f₄(x) - f₆(x) =

• 3)

  Which of the following is not true?

• 4)

  \(\frac { cos6x+6cos4x+15cos2x+10 }{ cos5x+5cos3x+10cosx } \) is equal to

• 5)

  A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

11th Maths Model Question Paper-Introduction To Probability Theory,Combinations and Mathematical Induction - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If ^a2-a \(C_2 = ^{a^2-a}\) C₄ then the value of 'a' is

• 2)

  There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

• 3)

  The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

• 4)

  The number of rectangles that a chessboard has

• 5)

  The number of 10 digit number that can be written by using the digits 2 and 3 is

11th Maths Model Question Paper -Introduction To Probability Theory,Combinations and Mathematical Induction - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  \(\frac{d}{d x}\left(\frac{2}{\pi} \sin x^{\circ}\right)\) is

• 2)

  If y = f(x²+2) and f '(3) = 5, then \({dy\over dx}\) at x = 1 is

• 3)

  If x = a sin \(\theta\) and y = b cos \(\theta\), then \({d^2y\over dx^2}\)is

• 4)

  The differential coefficient of log₁₀ x with respect to log_x10 is

• 5)

  If f(x) = x + 2, then f '(f(x)) at x = 4 is

11th Standard Maths Important One Mark Question Paper - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

• 2)

  What must be the matrix X, if 2x +\(\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?\)

• 3)

  Which one of the following is not true about the matrix \(\begin{bmatrix} 1 &0 &0 \\ 0 & 0 &0 \\ 0 & 0 & 5 \end{bmatrix}?\)

• 4)

  If A and B are two matrices such that A + B and AB are both defined, then

• 5)

  If A = \(\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda \end{bmatrix}\), then for what value of \(\lambda\), A² = O?

11th Maths Pre-Model Question Paper - by Prishvi - Sep 29, 2018 - View & Read

• 1)

  If ⁽ⁿ⁺⁵⁾P_(n+1)=\((\frac { 11(n-1) }{ 2 } )\).⁽ⁿ⁺³⁾P_n, then the value of n are

• 2)

  The product of r consecutive positive integers is divisible by

• 3)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 4)

  If ^a2-a \(C_2 = ^{a^2-a}\) C₄ then the value of 'a' is

• 5)

  Number of sides of a polygon having 44 diagonals is

Important Two Marks Questions In 11th Maths - by Prishvi - Sep 22, 2018 - View & Read

• 1)

  Identify the quadrant in which an angle of each given measure lies; -55⁰

• 2)

  Identify the quadrant in which an angle of each given measure lies; 328⁰

• 3)

  A fighter jet has to hit a small target by flying a horizontal distance. When the target is sighted, the pilot measures the angle of depression to be 30⁰. If after 100 km, the target has an angle of depression of 60⁰, how far is the target from the fighter jet at that instant?

• 4)

  If \(\triangle ABC\) is a right triangle and if \(\angle A=\frac{\pi}{2}\), then prove that \(\sin^2B+\sin^2C=1\)
  

• 5)

  If \(\triangle\)ABC is a right triangle and if \(\angle A\) = \(\pi/{2}\) , then prove that cos B - cos C = -1 + 2\(\sqrt { 2 } cos\frac { B }{ 2 } sin\frac { C }{ 2 } \)

11th Maths Important One Mark Question Paper 5 - by Prishvi - Sep 22, 2018 - View & Read

• 1)

  The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

  Which of the following equation is the locus of (at², 2at)

• 3)

  The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point

• 4)

  The point on the line 2x- 3y = 5 is equidistance from (1, 2) and (3, 4) is

• 5)

  If one of the lines given by 6x² - xy + 4cy² = 0 is 3x + 4y = 0, then c equals to

11th Standard Maths Important Question Paper - by Prishvi - Sep 22, 2018 - View & Read

• 1)

  If a_ij = \({1\over2}(3i-2j)\) and A = [a_ij]_2x2 is

• 2)

  What must be the matrix X, if 2x +\(\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?\)

• 3)

  The value of the determinant of A = \(\begin{bmatrix} 0&a &-b \\ -a & 0 & c \\ b & -c & 0 \end{bmatrix}is\)

• 4)

  If x₁, x₂, x₃ as well as y₁, y₂, y₃ are in geometric progression with the same common ratio, then the points (x₁, y₁ ), (x₂, y₂), (x₃, y₃ ) are

• 5)

  If a \(\neq\) b, b, c satisfy \(\begin{vmatrix} a&2b &2c \\3 & b & c \\ 4 & a & b \end{vmatrix}=0,\) then abc =

11th Maths Important One Mark Question Paper 1 - by Prishvi - Sep 15, 2018 - View & Read

• 1)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 2)

  The function f:R➝R is defined by f(x)=\(\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }\) is

• 3)

  If A⊆B, then A\B is  ________

• 4)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 5)

  Let R be the relation over the set of all straight lines in a plane such that l₁Rl₂ ⇔ l₁丄l₂ . Then  R is __________

11th Maths Important Objective Type Questions 2 - by S.B.O.A. Matric and Hr Sec School - Aug 22, 2018 - View & Read

• 1)

  The equation of the locus of the point whose distance from y-axis is half the distance from origin is

• 2)

  Which of the following equation is the locus of (at², 2at)

• 3)

  Which of the following point lie on the locus of 3x²+ 3y²- 8x - 12y + 17 = 0

• 4)

  If the point (8, -5) lies on the locus \(\frac{x^2}{16}-\frac{y^2}{25}=k\), then the value of k is

• 5)

  Straight line joining the points (2, 3) and (-1, 4) passes through the point \((\alpha,\beta)\) if

Binomial Theorem, Sequences And Series In Model Question Paper 2 - by Anandan - Aug 14, 2018 - View & Read

• 1)

  If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then x is

• 2)

  The sequence \(\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } }, \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } },...... \)form an 

• 3)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 4)

  If S_n denotes the sum of n terms of an AP whose common difference is d, the value of S_n - 2S_n-1 + S_n-2 is

• 5)

  The remainder when 38¹⁵ is divided by 13 is

Basic Algebra Important One Mark Question Paper In 11th Maths - by Prishvi - Aug 03, 2018 - View & Read

• 1)

  If |x+2| \(\le\) 9, then x belongs to

• 2)

  Given that x, y and b are real numbers x < y, b > 0, then

• 3)

  The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

• 4)

  If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

• 5)

  If 3 is the logarithm of 343, then the base is

11th Maths Model Question Paper I - by Prishvi - Aug 02, 2018 - View & Read

• 1)

  The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

• 2)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 3)

  Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is

• 4)

  If A = {(x,y) : y = e^x, x∈R} and B = {(x,y) : y = e^-x, x ∈ R} then n(A∩B) is

• 5)

  If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

Two Dimensional Analytical Geometry Important Question Papet In Class 11th - by Prishvi - Aug 01, 2018 - View & Read

• 1)

  Straight line joining the points (2, 3) and (-1, 4) passes through the point \((\alpha,\beta)\) if

• 2)

  The slope of the line which makes an angle 45^o with the line 3x- y = -5 are:

• 3)

  Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

• 4)

  The coordinates of the four vertices of a quadrilateral are (-2, 4), (-1, 2), (1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (-1, 2) and dividing the quadrilateral in the equal areas is

• 5)

  The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are

Binomial Theorem : Sequences And Series Important Question Paper In 11th Maths - by Prishvi - Aug 01, 2018 - View & Read

• 1)

  The HM of two positive numbers whose AM and GM are 16, 8 respectively is

• 2)

  If S_n denotes the sum of n terms of an AP whose common difference is d, the value of S_n - 2S_n-1 + S_n-2 is

• 3)

  The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

• 4)

  The n^th term of the sequence \(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 } \),......is

• 5)

  The sum up to n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +\).....is

Basic Algebra Important Question Paper 1 In Class 11th Maths - by Prishvi - Aug 01, 2018 - View & Read

• 1)

  If \(\frac { |x-2| }{ x-2 } \ge 0\), then x belongs to

• 2)

  The solution 5x-1<24 and 5x+1 > -24 is

• 3)

  The solution set of the following inequality |x-1| \(\ge\) |x-3| is

• 4)

  The value of \({ log }_{ \sqrt { 2 } }512\) is

• 5)

  The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

Combinations And Mathematical Induction Important Questions In 11th Maths - by Prishvi - Jul 28, 2018 - View & Read

• 1)

  In 3 fingers, the number of ways four rings can be worn is _______ ways.

• 2)

  If ⁽ⁿ⁺⁵⁾P_(n+1)=\((\frac { 11(n-1) }{ 2 } )\).⁽ⁿ⁺³⁾P_n, then the value of n are

• 3)

  The product of r consecutive positive integers is divisible by

• 4)

  The number of five digit telephone numbers having at least one of their digits repeated is

• 5)

  If ^a2-a \(C_2 = ^{a^2-a}\) C₄ then the value of 'a' is

11th Maths Trigonometry Important Question Paper 1 - by Prishvi - Jul 28, 2018 - View & Read

• 1)

  cos1⁰ + cos2⁰ + cos3⁰ +: : : + cos179⁰ =

• 2)

  Let f_k(x) = \(\frac { 1 }{ k } \)[sin^kx + cos^kx] where x\(\in \)R and k ≥ 1. Then f₄(x) - f₆(x) =

• 3)

  Which of the following is not true?

• 4)

  If tan α and tan β are the roots of x² + ax + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

• 5)

  In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

Sets, Relations And Functions Important Question Paper 1 In 11th Maths - by Prishvi - Jul 26, 2018 - View & Read

• 1)

  If the function f:[-3,3]➝S defined by f(x) = x² is onto, then S is

• 2)

  The function f:R➝R is defined by f(x)=\(\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }\) is

• 3)

  If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by "x is greater than y". The range of R is __________

• 4)

  Which of the following is not an equivalence relation on z?

• 5)

  If A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

One Mark Important Question Paper In 11th Maths - by Prishvi - Jul 23, 2018 - View & Read

• 1)

  The number of constant functions from a set containing m elements to a set containing n elements is

• 2)

  The function f:R➝R is defined by f(x)=\(\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }\) is

• 3)

  Let R be a relation on the set N given by R = {(a,b) : a = b - 2, b > 6}. Then ____________

• 4)

  Let f : R➝R be given by f(x) = x + \(\sqrt { { x }^{ 2 } } \) is __________

• 5)

  Let R be the universal relation on a set X with more than one element. Then R is