11th Standard Business Maths and Statistics Question papers - study material, free online tests, previous year question papers, answer keys, topper answers, centum question paper, exam tips

WORK SHEET - I - by Question Bank Software - Jun 30, 2021 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of \(\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}\) is ________.
3)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
4)
If A is square matrix of order 3, then |kA| is________.
5)
adj (AB) is equal to ________.

11th Standard Business maths English Medium One Mark important Questions Book back and Creative - 2020 - by Question Bank Software - Mar 20, 2020 - View & Read

1)
If A is square matrix of order 3, then |kA| is________.
2)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
3)
The value of \(\begin{vmatrix} x & x^2 & -yz & 1 \\ y & y^2 & -zx & 1 \\ z & z^2 & -xy &1 \end{vmatrix}\) is ________.
4)
If \(\begin{vmatrix} x & 2 \\ 8 &5 \end{vmatrix}=0\) then the value of x is ________.
5)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.

11th Standard Business Mathematics English Medium All Chapter Book Back and Creative One Marks Questions 2020 - by Question Bank Software - Mar 13, 2020 - View & Read

1)
If A and B are non-singular matrix then, which of the following is incorrect?
2)
If \(\begin{vmatrix} 4 & 3 \\ 3 & 1 \end{vmatrix}=-5\) then value of \(\begin{vmatrix} 20 & 15 \\ 15 & 5 \end{vmatrix}\) is ________.
3)
If nC₃ = nC₂, then the value of nC₄ is _______.
4)
The possible out comes when a coin is tossed five times _________.
5)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.

11th Standard Business Mathematics English Medium All Chapter Book Back and Creative Two Marks Questions 2020 - by Question Bank Software - Mar 13, 2020 - View & Read

1)

Suppose the inter-industry flow of the product of two sectors X and Y are given as under.

Production Sector	Consumption Sector		Domestic demand	Gross output
	X	Y
X	15	10	10	35
Y	20	30	15	65

Find the gross output when the domestic demand changes to 12 for X and 18 for Y.

2)
If \(A=\begin{bmatrix} 1 & 2 \\ 4 & 2 \end{bmatrix}\) then show that |2A| = 4 |A|.
3)
Find the values of x if \(\begin{vmatrix} 2 & 4 \\5 & 1 \end{vmatrix}=\begin{vmatrix} 2x & 4\\6 & x \end{vmatrix}.\)
4)
Show that \(\left[ \begin{matrix} 1 & 2 \\ 2 & 4 \end{matrix} \right] \)is a singular matrix.
5)
Resolve into partial fractions for the following : \(\frac{3 x+7}{x^2-3 x+2}\)

11th Standard Business Mathematics English Medium All Chapter Book Back and Creative Three Marks Questions 2020 - by Question Bank Software - Mar 13, 2020 - View & Read

1)
Evaluate: \(\begin{bmatrix} 3&-2&4\\2&0&1\\1&2&3 \end{bmatrix}\)
2)
Show that \(\begin{vmatrix}x+a &b&c \\a &x+b&c\\a&b&x+c \end{vmatrix}=x^2(x+a+b+c)\)
3)
Using the properties of determinants, show that \(\left| \begin{matrix} 2 & 7 & 65 \\ 3 & 8 & 75 \\ 5 & 9 & 86 \end{matrix} \right| \) = 0
4)
If \(A=\left[ \begin{matrix} 2 & 4 \\ -3 & 2 \end{matrix} \right] \)then, find A ^-1.
5)
How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8 and 9 if no digit is repeated?

11th Standard Business Mathematics English Medium All Chapter Book Back and Creative Five Marks Questions 2020 - by Question Bank Software - Mar 13, 2020 - View & Read

1)
Prove that \(\begin{vmatrix} {1\over a}&bc&b+c\\{1\over b}&ca&c+a\\{1\over c}&ab&a+b \end{vmatrix}=0\)
2)
The sum of three numbers is 20. If we multiply the first by 2 and add the second number and subtract the third we get 23. If we multiply the first by 3 and add second and third to it, we get 46. By using matrix inversion method find the numbers.
3)
Use the product \(\left[ \begin{matrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{matrix} \right] \left[ \begin{matrix} -2 & 0 & 1 \\ 9 & 2 & -3 \\ 6 & 1 & -2 \end{matrix} \right] \)to solve the system of equations x - 2y + 2z = 1, 2y - 3z = 1, 3x - 2y + 4z = 2.
4)
An amount of Rs. 5000 is put into three investment at the rate of interest of 6%, 7% and 8% per annum respectively. The total annual income is Rs. 358. If the combined income from the first two investment is Rs. 70 more than the income from the third, find the amount of each investment by matrix method.
5)
Resolve into partial fractions for the following : \(\frac{1}{\left(x^2+4\right)(x+1)}\)

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

1)
If A = \(\begin{bmatrix}3 & -1 & 1 \\ -15 & 6 & -5\\5 & -2 & 2 \end{bmatrix}\) then, find the Inverse of A.
2)
If\(A=\begin{bmatrix}1&3&3\\1&4&3\\1&3&4 \end{bmatrix}\)then verify that A (adj A) = |A| I and also find A^-1.
3)
Let a, b and c denote the sides BC, CA and AB repectively of \(\Delta\) ABC. If \(\left| \begin{matrix} 1 & a & b \\ 1 & c & a \\ 1 & b & c \end{matrix} \right| =0\), then find the value of sin² A + sin²B + sin²C.
4)
The sum of three numbers is 20. If we multiply the first by 2 and add the second number and subtract the third we get 23. If we multiply the first by 3 and add second and third to it, we get 46. By using matrix inversion method find the numbers.
5)
Show that the matrices \(A=\left[ \begin{matrix} 1 & 3 & 7 \\ 4 & 2 & 3 \\ 1 & 2 & 1 \end{matrix} \right] \)and \(B=\left[ \begin{matrix} \frac { -4 }{ 35 } & \frac { 11 }{ 35 } & \frac { -5 }{ 35 } \\ \frac { -1 }{ 35 } & \frac { -6 }{ 35 } & \frac { 25 }{ 35 } \\ \frac { 6 }{ 35 } & \frac { 1 }{ 35 } & \frac { -10 }{ 35 } \end{matrix} \right] \)are inverses of each other.

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

1)
Evaluate: \(\begin{bmatrix} 3&-2&4\\2&0&1\\1&2&3 \end{bmatrix}\)
2)
Without actual expansion show that the value of the determinant \(\begin{vmatrix}5 &5^2 &5^3 \\5^2 & 5^3 & 5^4\\5^4&5^5&5^6 \end{vmatrix}\)is zero.
3)
Prove that \(\left| \begin{matrix} x & sin\theta & cos\theta \\ -sin\theta & -x & 1 \\ cos\theta & 1 & x \end{matrix} \right| \) is independent of \(\theta\)
4)
Using co-factors of elements of second column evaluate \(\left| \begin{matrix} 6 & -1 & 5 \\ 3 & 0 & 4 \\ -2 & 7 & -3 \end{matrix} \right| \)
5)
The technology matrix of an economic system of two industries is \(\left[ \begin{matrix} 0.8 & 0.2 \\ 0.9 & 0.7 \end{matrix} \right] \) Test whether the system is viable as per Hawkins – Simon conditions.

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

1)
The technology matrix of an economic system of two industries is\(\begin{bmatrix} 0.50 & 0.30 \\ 0.41 & 0.33 \end{bmatrix}\). Test whether the system is viable as per Hawkins Simon conditions.
2)
If A \(=\begin{bmatrix} 1 \\ -4\\3 \end{bmatrix}\) and B = [-1 2 1], verify that (AB)^T = B^T. A^T
3)
Find the values of x if \(\begin{vmatrix} 2 & 4 \\5 & 1 \end{vmatrix}=\begin{vmatrix} 2x & 4\\6 & x \end{vmatrix}.\)
4)
Evaluate: \(\left| \begin{matrix} 1 & 2 & 4 \\ -1 & 3 & 0 \\ 4 & 1 & 0 \end{matrix} \right| \)
5)
Resolve into partial fractions for the following : \(\frac{4 x+1}{(x-2)(x+1)}\)

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

1)
The inventor of input-output analysis is ________.
2)
If \(\begin{vmatrix} x & 2 \\ 8 &5 \end{vmatrix}=0\) then the value of x is ________.
3)
If nP_r = 720 (nC_r), then r is equal to ______.
4)
The term containing x³ in the expansion of (x - 2y)⁷ is _________.
5)
The slope of the line 7x + 5y - 8 = 0 is _______.

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

1)
If A is 3 \(\times\) 3 matrix and |A| = 4, then |A^-1| is equal to ________.
2)
If \(\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}\) and A_ij is cofactor of a_ij, then value of \(\triangle\) is given by ________.
3)
If nC₃ = nC₂, then the value of nC₄ is _______.
4)
If nP_r = 720 (nC_r), then r is equal to ______.
5)
The slope of the line 7x + 5y - 8 = 0 is _______.

11th Business Maths - Operations Research Model Question Paper - by Question Bank Software - Dec 12, 2019 - View & Read

1)
In a network while numbering the events which one of the following statement is false?
2)
A solution which maximizes or minimizes the given LPP is called ______.
3)
The minimum value of the objective function Z = x + 3y subject to the constraints 2x + y ≤ 20, x + 2y ≤ 20, x > 0 and y > 0 is ______.
4)
In critical path analysis, the word CPM mean ______.
5)
Given an L.P.P maximize Z = 2x₁ + 3x₂ subject to the constrains x₁ + x₂ ≤ 1, 5x₁ + 5x₂≥ 0 and x₁ ≥ 0, x₂ ≥ 0 using graphical method, we observe ______.

11th Business Maths - Correlation and Regression Analysis Model Question Paper - by Question Bank Software - Dec 12, 2019 - View & Read

1)
The correlation coefficient is ________.
2)
The variable which influences the values or is used for prediction is called________.
3)
Scatter diagram of the variate values (X,Y) give the idea about ________.
4)
If regression co-efficient of Y on X is 2, then the regression co-efficient of X on Y is ________.
5)
Calculate the correlation coefficient from the following data
N = 9, ΣX = 45, ΣY = 108, ΣX²= 285, ΣY²= 1356, ΣXY = 597

11th Business Maths - Descriptive Statistics and Probability Model Question Paper - by Question Bank Software - Dec 12, 2019 - View & Read

1)
Which of the following is positional measure?
2)
When calculating the average growth of economy, the correct mean to use is?
3)
Harmonic mean is the reciprocal of _________.
4)
Median is same as _________.
5)
Harmonic mean is better than other means if the data are for _________.

11th Business Maths - Financial Mathematics Model Question Paper - by Question Bank Software - Dec 12, 2019 - View & Read

1)
A person brought 100 shares of 9% stock of face value Rs. 100, at a discount of 10%, then the stock purchased is _______.
2)
The % Income on 7 % stock at Rs. 80 is _______.
3)
A invested some money in 10% stock at Rs.96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of _______.
4)
The present value of the perpetual annuity of Rs. 2000 paid monthly at 10 % compound interest is _______.
5)
Example of contingent annuity is _______.

11th Business Maths - Applications of Differentiation Model Question Paper - by Question Bank Software - Dec 12, 2019 - View & Read

1)
The elasticity of demand for the demand function x = \(\frac { 1 }{ p } \) is______.
2)
Relationship among MR, AR and η_d is ______.
3)
If u = 4x² + 4xy + y² + 32 + 16 , then \(\frac { \partial ^{ 2 }u }{ \partial y\partial x } \) is equal to ________.
4)
If u = x³ + 3xy² + y³ then \(\frac { \partial ^{ 2 }u }{ \partial y\partial x } \) is _______.
5)
if q = 1000 + 8p₁ - p₂ then, \(\frac { \partial q }{ \partial { p }_{ 1 } } \) is _______.

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

1)
If \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\), then f(5) is _______.
2)
The graph of y = e^x intersect the y-axis at _______.
3)
Which one of the following functions has the property f (x) = \(f\left( \frac { 1 }{ x } \right) \), provided \(x \neq 0\)
4)
The graph of f(x) = e^x is identical to that of ________.
5)
\(\lim _{ x\rightarrow 0 }{ \frac { { e }^{ x }-1 }{ x } } =\)________.

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

1)
The radian measure of 37^o30^' is ______.
2)
The value of \(\sin(-420^o)\) is _______.
3)
The value of cos²45^o- sin²45^o is_______.
4)
The value of \(\frac{3 \tan 10^{\circ}-\tan ^3 10^{\circ}}{1-3 \tan ^2 10^{\circ}}\) is _______,
5)
If \(\alpha\) and \(\beta\) be between 0 and \(\frac{\pi}{2}\) and if \(\cos(\alpha+\beta)=\frac{12}{13}\) and \(\sin(\alpha-\beta)=\frac{3}{5}\) then \(\sin2\alpha\) is _____.

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

1)
If m₁ and m₂ are the slopes of the pair of lines given by ax²+ 2hxy + by² = 0, then the value of m₁+ m₂ is _______.
2)
If kx² + 3xy - 2y²= 0 represent a pair of lines which are perpendicular then k is equal to _______.
3)
Length of the latus rectum of the parabola y² = - 25x is _______.
4)
ax² + 4xy + 2y² = 0 represents a pair of parallel lines then 'a' is _______.
5)
The equation of the circle with centre (3,-4) and touches the x - axis is _______.

11th Business Maths - Matrices And Determinants Important Questions - by Question Bank Software - Nov 21, 2019 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
3)
If A is square matrix of order 3, then |kA| is________.
4)
Which of the following matrix has no inverse.
5)
If A = \(\begin{vmatrix}cos \theta & sin \theta \\ -sin \theta&cons\theta \end{vmatrix},\) then |2A| is equal to ________.

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

1)
If nC₃ = nC₂, then the value of nC₄ is _______.
2)
The middle term in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 10 }\) is _______.
3)
There are 10 true or false questions in an examination. Then these questions can be answered in ______.
4)
The value of (5C₀ + 5C₁) + (5C₁ + 5C₂) + (5C₂ + 5C₃) + (5C₃ + 5C₄) + (5C₄ + 5C₅ ) is ________.
5)
Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is _____.

11th Business Maths - Half Yearly Model Question Paper 2019 - by Question Bank Software - Nov 12, 2019 - View & Read

1)
The co-factor of -7 in the determinant \(\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}\) is________.
2)
Which of the following matrix has no inverse.
3)
If A = \(\begin{vmatrix}cos \theta & sin \theta \\ -sin \theta&cons\theta \end{vmatrix},\) then |2A| is equal to ________.
4)
The possible out comes when a coin is tossed five times _________.
5)
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.

12th Business Maths - Term II Model Question Paper - by Kalaivani - Palani - Oct 30, 2019 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
If A is square matrix of order 3, then |kA| is________.
3)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.
4)
The value of n, when nP₂ = 20 is _______.
5)
The term containing x³ in the expansion of (x - 2y)⁷ is _________.

11th Business Maths - Operations Research Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Solve the following LPP graphically. Maximize Z = 6x₁ + 5x₂ Subject to the constraints 3x₁ + 5x₂ ≤ 15, 5x₁ + 2x₂ ≤ 10 and x₁,x₂ ≥ 0
2)
Solve the following LPP graphically. Maximize Z =−x₁ + 2x₂
Subject to the constraints −x₁ + 3x₂ ≤ 10, x₁ + x₂ ≤ 6,x₁ − x₂ ≤ 2 and x₁,x₂ ≥ 0
3)
Solve the following LPP graphically. Minimize Z = x₁ − 5x₂ + 20
Subject to the constraints x₁ − x₂ ≥ 0,−x₁ + 2x₂ ≥ 2,x₁ ≥ 3,x₂ ≤ 4 and x₁,x₂≥ 0.
4)
Solve the following LPP graphically. ∴ Maximize Z = 3x₁ + 4x₂subject to the constraints x₁ + x₂ ≤ 4 and x₁,x₂ ≥ 0.
5)
Solve the following LPP graphically. Minimize\(Z=-3{ x }_{ 1 }+4{ x }_{ 2 }\)
Subject to the constraints \({ x }_{ 1 }+2{ x }_{ 2 }\le 8\quad ,{ 3x }_{ 1 }+{ 2x }_{ 2 }\le 12\quad and\quad \quad { x }_{ 1 }\ge 0,{ x }_{ 2 }\ge 2.\)

11th Business Maths - Correlation and Regression Analysis Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Calculate the correlation co-efficient for the following data.

X 5 10 5 11 12 4 3 2 7 1

Y 1 6 2 8 5 1 4 6 5 2

2)

Calculate the coefficient of correlation between X and Y series from the following data.

Description	X	Y
Number of pairs of observation	15	15
Arithmetic mean	25	18
Standard deviation	3.01	3.03
Sum of squares of deviation from the arithmetic mean	136	138

Summation of product deviations of X and Y series from their respective arithmetic means is 122.

3)
A random sample of recent repair jobs was selected and estimated cost and actual cost were recorded.

Estimated cost 300 450 800 250 500 975 475 400

Actual cost 273 486 734 297 631 872 396 457

Calculate the value of spearman’s correlation coefficient.
4)
The rank of 10 students of same batch in two subjects A and B are given below. Calculate the rank correlation coefficient.

Rank of A 1 2 3 4 5 6 7 8 9 10

Rank of B 6 7 5 10 3 9 4 1 8 2
5)
The following table shows the sales and advertisement expenditure of a form

Title Sales Advertisement expenditure(Rs.Cross)

Mean 40 6

SD 10 1.5

Coefficient of correlation r = 0.9. Estimate the likely sales for a proposed advertisement expenditure of Rs. 10 crores.

11th Business Maths - Descriptive Statistics and Probability Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Compared to the previous year the overhead expenses went up by 32% in 1995, they increased by 40% in the next year and by 50% in the following year. Calculate the average rate of increase in overhead expenses over the three years.
2)
From the following data compute the value of Harmonic Mean.

Marks 10 20 30 40 50

No. of students 20 30 50 15 5

3)

Calculate the value of quartile deviation and its coefficient from the following data

Roll No.	1	2	3	4	5	6	7
Marks	20	28	40	12	30	15	50

4)
A factory has 3 machines A₁, A₂, A₃ producing 1000, 2000, 3000 screws per day respectively. A₁ produces 1% defectives, A₂ produces 1.5% and A₃ produces 2% defectives. A screw is chosen at random at the end of a day and found defective. What is the probability that it comes from machines A₁?
5)
X speaks truth 4 out of 5 times. A die is thrown. He reports that there is a six. What is the chance that actually there was a six?

11th Business Maths - Financial Mathematics Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Find the amount of an ordinary annuity of 12 monthly payments of Rs. 1, 500 that earns interest at 12% per annum compounded monthly. [(1.01)¹² = 1.1262 ]
2)
A bank pays 8% per annum interest compounded quarterly. Find the equal deposits to be made at the end of each quarter for 10 years to have Rs. 30,200? [(1.02)⁴⁰ = 2.2080]
3)
A man buys 400 of Rs. 10 shares at a premium of Rs. 2.50 on each share. If the rate of dividend is 12%, then find
(i) his investment
(ii) annual dividend received by him
(iii) rate of interest received by him on his money
4)
Sundar bought Rs 4,500,12 % of Rs. 10 shares at par. He sold them when the price rose to Rs. 23 and invested the proceeds in Rs. 25 shares paying 10% per annum at Rs. 18. Find the change in his income.
5)
Find the amount of an annuity of Rs. 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly.

11th Business Maths - Applications of Differentiation Three Marks Questions - by Question Bank Software - Oct 09, 2019 - View & Read

1)
Find the elasticity of demand in terms of x for the demand law \(p={(a-bx)^{1\over 2}}.\) Also find the values of x when elasticity of demand is unity.
2)
Find the elasticity of supply for the supply law \(x={p\over p+5}\) when p = 20 and interpret your result.
3)
Revenue function ‘R’ and cost function ‘C’ are R = 14x - x² and C = x (x² - 2). Find the
(i) average cost function
(ii) marginal cost function,
(iii) average revenue function and
(iv) marginal revenue function.
4)
Find the stationary value and the stationary points f(x) = x²+ 2x – 5.
5)
For the production function P = \(4L^{ \frac { 3 }{ 4 } }K^{ \frac { 1 }{ 4 } }\) verify Euler’s theorem.

11th Standard Business Maths - Operations Research Model Question Paper - by Kalaivani - Palani - Oct 08, 2019 - View & Read

1)
The critical path of the following network is________.
2)
A solution which maximizes or minimizes the given LPP is called ______.
3)
The maximum value of the objective function Z = 3x + 5y subject to the constraints x > 0 , y > 0 and 2x + 5y ≤ 10 is ______.
4)
Which of the following is not correct?
5)
Network problems have advantage in terms of project _______.

11th Standard Business Maths - Differential Calculus Three Marks Questions - by Question Bank Software - Oct 04, 2019 - View & Read

1)
If \(y=\sqrt { x } +\frac { 1 }{ \sqrt { x } } \) show that \(2x\frac { dy }{ dx } +y=2\sqrt { x } \).
2)
Show that the function f(x) = [x] where [x] denotes the greatest integer function is discontinuous at all integral points
3)
Is the function defined by f(x) = x² -sin x + 5 is continuous at x =\(\pi\)?
4)
Differentiate: \(\sin ^{ -1 }{ \left( \sqrt { \cos { x } } \right) } \)
5)
Differentiate: sin² x + cos² y = 1.

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

1)
Find all other trigonometrical ratios if \(\sin x=\frac{-2\sqrt6}{5}\) and x lies in III quadrant?
2)
Prove that \(\sin^2\frac{\pi}{6}+\cos^2\frac{\pi}{3}-\tan^2\frac{\pi}{4}=-\frac12\)
3)
Prove that\(\left\{1+\cot x-\sec\left(\frac{\pi}{2}+x\right)\right\}\left\{1+\cot x+\sec\left(\frac{\pi}{2}+x\right)\right\}=2\cot x\)
4)
Write \(\tan ^{ -1 }{ \left( \frac { 1 }{ \sqrt { { x }^{ 2 }-1 } } \right) } ,\left| x \right| >1\) in the simplest form.
5)
Prove that \(\frac{\sin(x+y)}{\sin(x-y)}=\frac{\tan x+\tan y}{\tan x-\tan y}\)

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

1)
A point moves so that its distance from the point (-1, 0) is always three times its distance from the point (0, 2). Find its locus.
2)
Find the equation of a circle of radius 5 whose centre lies on X-axis and passes through the point (2, 3).
3)
Find the equation of a circle whose diameters are 2x - 3y + 12 = 0 and x + 4y - 5 = 0 and area is 154 square units.
4)
Find the condition that the straight lines y=m₁x+C₁_,y=m₂x+C₂, and y=m₃x+C₃ may meet at a point?
5)
Find the locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6.

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

1)
Resolve into partial factors:\(\frac { x+4 }{ ({ x }^{ 2 }-4)(x+1) } \)
2)
Solve : \(\frac { (2x+1)! }{ (x+2)! } .\frac { (x-1)! }{ (2x-1)! } =\frac { 3 }{ 5 } \)
3)
How may different numbers between 100 and 1000 can be formed using the digits 0, 1,2,3,4, 5, 6 assuming that in any number, the digits are not repeated.
4)
There are 6 gentlemen and 4 ladies to line at a round table. In how many ways can they seat themselves so that no two ladies together?
5)
In how many ways can n prizes be given to n boys, when a boy may receive any number of prizes?

11th Business Maths - Matrices And Determinants Three Marks - by Question Bank Software - Oct 04, 2019 - View & Read

1)
Using matrix method, solve x + 2y + z = 7, x + 3z = 11 and 2x - 3y =1.
2)
if A =\(\left[ \begin{matrix} cos\ \alpha & sin\ \alpha \\ -sin\ \alpha & \ cos\ \alpha \ \end{matrix} \right] \) is such that A^T = A^-1, find \(\alpha\)
3)
Write the minors and co-factors of the elements of \(\begin{vmatrix}5 & 3 \\-6 & 2\end{vmatrix}\)
4)
Verify that A(adj A) = (adj A) A = IAI·I for the matrix A = \(\begin{bmatrix}2 & 3 \\-1 & 4\end{bmatrix}\)
5)
Find the inverse of \(\begin{bmatrix}-1 & 5 \\-3 & 2 \end{bmatrix}\).

11th Business Maths - Correlation and Regression Analysis Model Question Paper - by Kalaivani - Palani - Oct 01, 2019 - View & Read

1)
Example for positive correlation is______.
2)
Correlation co-efficient lies between ______.
3)
The correlation coefficient from the following data N = 25, ΣX = 125, ΣY = 100, ΣX² = 650, ΣY²= 436, ΣXY = 520 ________.
4)
From the following data, N = 11, ΣX = 117, ΣY = 260, ΣX² = 1313, ΣY² = 6580, ΣXY = 2827 the correlation coefficient is ________.
5)
The variable which influences the values or is used for prediction is called________.

11th Business Maths - Descriptive Statistics and Probability Model Question Paper - by Kalaivani - Palani - Oct 01, 2019 - View & Read

1)
Which of the following is positional measure?
2)
The best measure of central tendency is _________.
3)
The geometric mean of two numbers 8 and 18 shall be _________.
4)
The median of 10,14,11,9,8,12,6 is _________.
5)
The first quartile is also known as _________.

11th Business Maths - Financial Mathematics Model Question Paper - by Kalaivani - Palani - Sep 26, 2019 - View & Read

1)
The dividend received on 200 shares of face value Rs.100 at 8% is ________.
2)
A man purchases a stock of Rs. 20,000 of face value Rs. 100 at a premium of 20%, then investment is ________.
3)
A person brought 100 shares of 9% stock of face value Rs. 100, at a discount of 10%, then the stock purchased is _______.
4)
An annuity in which payments are made at the beginning of each payment period is called _______.
5)
Example of contingent annuity is _______.

11th Business Maths - Applications of Differentiation Model Question Paper - by Kalaivani - Palani - Sep 26, 2019 - View & Read

1)
Average fixed cost of the cost function C(x) = 2x³ +5x² - 14x +21 is _______.
2)
If demand and the cost function of a firm are p = 2–x and c = 2x² + 2x + 7 then its profit function is ________.
3)
For the cost function C =\(\frac { 1 }{ 25 } { e }^{ 5x }\), the marginal cost is _________.
4)
If u = x³ + 3xy² + y³ then \(\frac { \partial ^{ 2 }u }{ \partial y\partial x } \) is _______.
5)
if q = 1000 + 8p₁ - p₂ then, \(\frac { \partial q }{ \partial { p }_{ 1 } } \) is _______.

11th Standard Business Maths - Operations Research Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
Draw the logic network for the following:
Activities C and D both follow A, activity E follows C, activity F follows D, activity E and F precedes B.
2)
Draw a network diagram for the project whose activities and their predecessor relationships are given below:

Activity: A B C D E F G H I J K

Predecessor activity: - - - A B B C D F H,I F,G
3)
Construct a network diagram for the following situation:
A < D, E; B, D < F; C < G and B < H.
4)
Construct the network for the projects consisting of various activities and their precedence relationships are as given below:
A, B, C can start simultaneously A < F, E; B < D, C; E, D < G
5)
Construct the network for each the projects consisting of various activities and their precedence relationships are as given below:

Activity A B C D E F G H I J K

Immediate Predecessors - - - A B B C D E H,I F,G

11th Standard Business Maths - Descriptive Statistics and Probability Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
Find the first quartile and third quartile for the given observations
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
2)
An aeroplane flies, along the four sides of a square at speeds of 100, 200, 300 and 400 kilometres per hour respectively. What is the average speed of the plane in its flight around the square.
3)
A die is thrown twice and the sum of the number appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?
4)
Suppose one person is selected at random from a group of 100 persons are given in the following

Title Psychologist Socialist Democrate Total

Men 15 25 10 50

Women 20 15 15 50

Total 35 40 25 100

What is the probability that the man selected is a Psychologist?
5)
A die is thrown. Find the probability of getting
(i) a prime number
(ii) a number greater than or equal to 3

11th Standard Business Maths Unit 8 Financial Mathematics Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
The chairman of a society wishes to award a gold medal to a student getting highest marks in Business Mathematics. If this medal costs Rs. 9,000 every year and the rate of compound interest is 15% what amount is to be deposited now.
2)
What is the amount of perpetual annuity of Rs. 50 at 5% compound interest per year?
3)
Find the market value of 325 shares of amount Rs. 100 at a premium of Rs. 18.
4)
A man buys 500 shares of amount Rs. 100 at Rs. 14 below par. How much money does he pay?
5)
If the dividend received from 10% of Rs. 25 shares is Rs. 2000. Find the number of shares.

11th Business Maths - Applications of Differentiation Two Marks Questions - by Question Bank Software - Sep 21, 2019 - View & Read

1)
The demand function for a commodity is \(p={4\over x}\), where p is unit price. Find the instantaneous rate of change of demand with respect to price at p = 4. Also interpret your result.
2)
The cost function of a firm is \(C={1\over3}x^3-3x^2+9x\). Find the level of output (x > 0) when average cost is minimum.
3)
Find the price elasticity of demand for the demand function x = 10 – p where x is the demand and p i the price. Examine whether the demand is elastic, inelastic or unit elastic at p = 6.
4)
Find the equilibrium price and equilibrium quantity for the following functions. Demand: x = 100 – 2p and supply: x = 3p – 50
5)
If f (x, y) = 3x² + 4y³ + 6xy - x³y³ + 7 then show that f_xy (1, 1) = 18.

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

1)
If \(f(x)={ x }^{ 3 }-\frac { 1 }{ { x }^{ 3 } } \), x \(\neq\) 0, then show that \(f(x)+f\left( \frac { 1 }{ x } \right) =0\)
2)
If \(f(x)=\frac { x+1 }{ x-1 } \) ,x ≠ 0 then prove that f(f(x)) = x
3)
Find the derivative of the following functions from first principle. log (x + 1)
4)
If \(f\left( x \right) =\frac { 1 }{ 2x+1 } ,x> -\frac { 1 }{ 2 } \) then show that \(f\left( f\left( x \right) \right) =\frac { 2x+1 }{ 2x+3 } \)
5)
Show that the function f(x) = 5x -3 is continous at x = +3

11th Business Maths - Term 1 Model Question Paper - by Kalaivani - Palani - Sep 21, 2019 - View & Read

1)
The inventor of input-output analysis is ________.
2)
The possible out comes when a coin is tossed five times _________.
3)
The slope of the line 7x + 5y - 8 = 0 is _______.
4)
The degree measure of \(\frac{\pi}{8}\) is ______.
5)
The graph of y = 2x² is passing through _______.

11th Business Maths - Trigonometry Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
Convert the following degree measure into radian measure 240^o
2)
Convert the following degree measure into radian measure -320^o
3)
Find the degree measure corresponding to the following radian measure. -3
4)
Find the degree measure corresponding to the following radian measure. \(\frac { 11\pi }{ 18 } \)
5)
Evaluate \(\cot\left(\frac{-15\pi}{4}\right)\)

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

1)
Find the equation of the following circles having the centre (0,0) and radius 2 units
2)
Find the centre and radius of the circle x² + y² = 16
3)
Find the center and radius of the circle (x + 2) ( x - 5) + (y - 2 ) ( y - 1) = 0
4)
Find the equation of the circle whose centre is (-3, -2) and having circumferences 16\(\pi\)
5)
Find the equation of the circle on the line joining the points (1,0), (0,1) and having its centre on the line x + y = 1

11th Business Maths - Algebra Two Marks Question - by Question Bank Software - Sep 19, 2019 - View & Read

1)
Verify that 8C₄+ 8C₃= 9C₄
2)
Evaluate the following : \(\frac { 7! }{ 6! } \)
3)
If four dice are rolled, find the number of possible outcomes in which atleast one die shows 2.
4)
ResoIve into partial fractions :\(\frac { 12x-17 }{ (x-2)(x-1) } \)
5)
Show that 10P₃ = 9 P₃ + 3. 9P₂

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

1)
The technology matrix of an economic system of two industries is\(\begin{bmatrix} 0.6 & 0.9 \\ 0.20 & 0.80 \end{bmatrix}\) .Test whether the system is viable as per Hawkins-Simon conditions.
2)
Find the minors and cofactors of all the elements of the following determinants \(\begin{vmatrix}5&20\\ 0&-1 \end{vmatrix}\)
3)
Solve: \(\begin{vmatrix}2& x&3\\4&1&6\\1&2&7 \end{vmatrix}=0\)
4)
Find |AB| if \(A=\begin{bmatrix} 3&-1\\2&1 \end{bmatrix} \) and \(B =\begin{bmatrix} 3&0\\1&-2 \end{bmatrix}\)
5)
If A \(=\begin{bmatrix} 1 \\ -4\\3 \end{bmatrix}\) and B = [-1 2 1], verify that (AB)^T = B^T. A^T

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

1)
If A = \(\begin{bmatrix}3 & -1 & 1 \\ -15 & 6 & -5\\5 & -2 & 2 \end{bmatrix}\) then, find the Inverse of A.
2)
Solve by matrix inversion method: x - y + 2z = 3; 2x + z = 1; 3x + 2y + z = 4.
3)
Find adjoint of \(A=\left[ \begin{matrix} 1 & -2 & -3 \\ 0 & 1 & 0 \\ -4 & 1 & 0 \end{matrix} \right] \)
4)
Resolve into partial fractions for the following : \(\frac{x+2}{(x-1)(x+3)^2}\)
5)
By the principle of mathematical induction, prove the following.
aⁿ - bⁿ is divisible by a - b, for all \(n\in N\) .

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

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
3)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
4)
If A and B are non-singular matrix then, which of the following is incorrect?
5)
If A = \(\begin{vmatrix}cos \theta & sin \theta \\ -sin \theta&cons\theta \end{vmatrix},\) then |2A| is equal to ________.

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

11th Business Maths Unit 10 Operations Research Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

1)
Maximize: z = 3x₁+ 4x₂ subject to 2x₁+ x₂≤ 40, 2x₁+ 5x₂≤ 180, x₁, x₂≥ 0. In the LPP, which one of the following is feasible corner point?
2)
A solution which maximizes or minimizes the given LPP is called ______.
3)
The minimum value of the objective function Z = x + 3y subject to the constraints 2x + y ≤ 20, x + 2y ≤ 20, x > 0 and y > 0 is ______.
4)
In the context of network, which of the following is not correct?
5)
The objective of network analysis is to ________.

11th Business Maths Unit 9 Correlation and Regression Analysis Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

1)
Example for positive correlation is______.
2)
If the values of two variables move in opposite direction then the correlation is said to be ______.
3)
Correlation co-efficient lies between ______.
4)
The variable whose value is influenced (or) is to be predicted is called ________.
5)
The variable which influences the values or is used for prediction is called________.

11th Business Maths Chapter 8 Descriptive Statistics and Probability Book Back Questions - by Question Bank Software - Sep 06, 2019 - View & Read

1)
When calculating the average growth of economy, the correct mean to use is?
2)
When an observation in the data is zero, then its geometric mean is
3)
The best measure of central tendency is _________.
4)
Median is same as _________.
5)
The median of 10,14,11,9,8,12,6 is _________.

11th Standard Business Maths - Financial Mathematics Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
The dividend received on 200 shares of face value Rs.100 at 8% is ________.
2)
What is the amount relalised on selling 8% stock 200 shares of face value Rs. 100 at Rs. 50.
3)
The % Income on 7 % stock at Rs. 80 is _______.
4)
If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for Rs. 1 then future amount of the annuity is _______.
5)
An annuity in which payments are made at the beginning of each payment period is called _______.

11th Standard Business Maths Chapter 6 Applications of Differentiation Book Back Questions - by Question Bank Software - Sep 04, 2019 - View & Read

1)
Average fixed cost of the cost function C(x) = 2x³ +5x² - 14x +21 is _______.
2)
Marginal revenue of the demand function p = 20–3x is _______.
3)
For the cost function C =\(\frac { 1 }{ 25 } { e }^{ 5x }\), the marginal cost is _________.
4)
Instantaneous rate of change of y = 2x² + 5x with respect to x at x = 2 is _________.
5)
If the average revenue of a certain firm is Rs. 50 and its elasticity of demand is 2, then their marginal revenue is _________.

11th Standard Business Maths - Differential Calculus Book Back Questions - by Question Bank Software - Sep 03, 2019 - View & Read

1)
If f(x) = x² - x + 1, then f (x + 1) is _______.
2)
The graph of the line y = 3 is _______.
3)
Which one of the following functions has the property f (x) = \(f\left( \frac { 1 }{ x } \right) \), provided \(x \neq 0\)
4)
The range of f(x) = |x|, for all \(x\in R\), is ________.
5)
If the function f(x) is continuous at x = a if \(\lim _{ x\rightarrow a }{ f\left( x \right) } \) is equal to ________.

11th Standard Business Maths - Analytical Geometry - by Question Bank Software - Sep 02, 2019 - View & Read

1)
If m₁ and m₂ are the slopes of the pair of lines given by ax²+ 2hxy + by² = 0, then the value of m₁+ m₂ is _______.
2)
If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is _______.
3)
The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0 is _______.
4)
(1, - 2) is the centre of the circle x²+ y² + ax + by - 4 = 0 , then its radius _______.
5)
The length of the tangent from (4,5) to the circle x² + y² = 16 is _______.

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

1)
The degree measure of \(\frac{\pi}{8}\) is ______.
2)
The value of \(\sin(-420^o)\) is _______.
3)
The value of sec A sin(270^o + A) is ______.
4)
The value of cos²45^o- sin²45^o is_______.
5)
The value of \(\frac{2\tan30^o}{1+tan^230}\) is _____.

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

1)
The value of n, when nP₂ = 20 is _______.
2)
The number of diagonals in a polygon of n seates is equal to _______.
3)
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.
4)
For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to _______
5)
The middle term in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 10 }\) is _______.

11th Standard Business Maths Unit 1 Matrices And Determinants Book Back Questions - by Question Bank Software - Aug 30, 2019 - View & Read

1)
If A = \(\begin{vmatrix}cos \theta & sin \theta \\ -sin \theta&cons\theta \end{vmatrix},\) then |2A| is equal to ________.
2)
If \(\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}\) and A_ij is cofactor of a_ij, then value of \(\triangle\) is given by ________.
3)
If \(\begin{vmatrix} x & 2 \\ 8 &5 \end{vmatrix}=0\) then the value of x is ________.
4)
If \(\begin{vmatrix} 4 & 3 \\ 3 & 1 \end{vmatrix}=-5\) then value of \(\begin{vmatrix} 20 & 15 \\ 15 & 5 \end{vmatrix}\) is ________.
5)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.

11th Standard Business Maths - Descriptive Statistics and Probability One Mark Question and Answer - by Question Bank Software - Aug 29, 2019 - View & Read

1)
Which of the following is positional measure?
2)
When calculating the average growth of economy, the correct mean to use is?
3)
When an observation in the data is zero, then its geometric mean is
4)
The correct relationship among A.M.,G.M.and H.M.is: ________.
5)
Harmonic mean is the reciprocal of _________.

11th Standard Business Maths - Financial Mathematics One Mark Question with Answer Key - by Question Bank Software - Aug 29, 2019 - View & Read

1)
The dividend received on 200 shares of face value Rs.100 at 8% is ________.
2)
What is the amount relalised on selling 8% stock 200 shares of face value Rs. 100 at Rs. 50.
3)
A man purchases a stock of Rs. 20,000 of face value Rs. 100 at a premium of 20%, then investment is ________.
4)
A person brought 100 shares of 9% stock of face value Rs. 100, at a discount of 10%, then the stock purchased is _______.
5)
The % Income on 7 % stock at Rs. 80 is _______.

11th Business Maths - Applications of Differentiation One Mark Question with Answer - by Question Bank Software - Aug 28, 2019 - View & Read

1)
Average fixed cost of the cost function C(x) = 2x³ +5x² - 14x +21 is _______.
2)
Marginal revenue of the demand function p = 20–3x is _______.
3)
If demand and the cost function of a firm are p = 2–x and c = 2x² + 2x + 7 then its profit function is ________.
4)
Relationship among MR, AR and η_d is ______.
5)
For the cost function C =\(\frac { 1 }{ 25 } { e }^{ 5x }\), the marginal cost is _________.

11th Standard Chapter 5 Differential Calculus One Mark Question and Answer - by Question Bank Software - Aug 27, 2019 - View & Read

1)
If f(x) = x² - x + 1, then f (x + 1) is _______.
2)
If \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\), then f(5) is _______.
3)
If \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\) then f(0) is _______.
4)
If f(x) = \(\frac{1-x}{1+x}\) then f(-x) is equal to _______.
5)
The graph of the line y = 3 is _______.

11th Standard Chapter 4 Trigonometry - One Mark Questions and Answer - by Question Bank Software - Aug 27, 2019 - View & Read

1)
The degree measure of \(\frac{\pi}{8}\) is ______.
2)
The radian measure of 37^o30^' is ______.
3)
If \(\tan\theta=\frac{1}{\sqrt5}\) and \(\theta\) lies in the first quadrant, then \(\cos\theta\) is _______.
4)
The value of \(\sin15^o\) is ______.
5)
The value of \(\sin(-420^o)\) is _______.

11th Business Maths Chapter 3 Analytical Geometry One Mark Question Paper with Answer - by Question Bank Software - Aug 27, 2019 - View & Read

1)
If m₁ and m₂ are the slopes of the pair of lines given by ax²+ 2hxy + by² = 0, then the value of m₁+ m₂ is _______.
2)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.
3)
If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is _______.
4)
The x-intercept of the straight line 3x + 2y - 1 = 0 is _______.
5)
The slope of the line 7x + 5y - 8 = 0 is _______.

11th Business Maths Algebra - One Mark Question with Answer Key - by Question Bank Software - Aug 26, 2019 - View & Read

1)
If nC₃ = nC₂, then the value of nC₄ is _______.
2)
The number of ways selecting 4 players out of 5 is _______.
3)
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.
4)
If n is a positive integer, then the number of terms in the expansion (x + a)ⁿ is _______.
5)
For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to _______

11th Mathematics Matrices And Determinants One Mark Question Paper - by Question Bank Software - Aug 23, 2019 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of \(\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}\) is ________.
3)
The co-factor of -7 in the determinant \(\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}\) is________.
4)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
5)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.

11th Business Maths Differential Calculus Model Question Paper - by Question Bank Software - Aug 20, 2019 - View & Read

1)
The graph of y = 2x² is passing through _______.
2)
Which one of the following functions has the property f (x) = \(f\left( \frac { 1 }{ x } \right) \), provided \(x \neq 0\)
3)
The range of f(x) = |x|, for all \(x\in R\), is ________.
4)
If the function f(x) is continuous at x = a if \(\lim _{ x\rightarrow a }{ f\left( x \right) } \) is equal to ________.
5)
If y = log x then y₂ = ________.

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

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
If A is square matrix of order 3, then |kA| is________.
3)
If \(\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}\) and A_ij is cofactor of a_ij, then value of \(\triangle\) is given by ________.
4)
The number of permutation of n different things taken r at a time, when the repetition is allowed is ________.
5)
The distance between directrix and focus of a parabola y² = 4ax is _______.

11th Standard Business Maths Chapter 4 Trigonometry Sample Question Paper - by Question Bank Software - Jul 31, 2019 - View & Read

1)
The degree measure of \(\frac{\pi}{8}\) is ______.
2)
If \(\tan\theta=\frac{1}{\sqrt5}\) and \(\theta\) lies in the first quadrant, then \(\cos\theta\) is _______.
3)
The value of sin 15^o cos 15^o is ______.
4)
The value of sec A sin(270^o + A) is ______.
5)
If sin A + cos A = 1, then sin 2A is equal to _______.

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

1)
If m₁ and m₂ are the slopes of the pair of lines given by ax²+ 2hxy + by² = 0, then the value of m₁+ m₂ is _______.
2)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.
3)
If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is _______.
4)
The distance between directrix and focus of a parabola y² = 4ax is _______.
5)
The equation of directrix of the parabola y² = - x is _______.

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

1)
If nC₃ = nC₂, then the value of nC₄ is _______.
2)
The value of n, when nP₂ = 20 is _______.
3)
The number of ways selecting 4 players out of 5 is _______.
4)
If nP_r = 720 (nC_r), then r is equal to ______.
5)
The possible out comes when a coin is tossed five times _________.

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

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
3)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
4)
Which of the following matrix has no inverse.
5)
The inverse matrix of \(\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}\) is ________.

11th Standard Business Maths Public Exam March 2019 Important Creative 3 Mark Questions and Answers - by Basky - Mar 15, 2019 - View & Read

1)
Prove that \(\left| \begin{matrix} x & sin\theta & cos\theta \\ -sin\theta & -x & 1 \\ cos\theta & 1 & x \end{matrix} \right| \) is independent of \(\theta\)
2)
Using matrix method, solve x + 2y + z = 7, x + 3z = 11 and 2x - 3y =1.
3)
if A =\(\left[ \begin{matrix} cos\ \alpha & sin\ \alpha \\ -sin\ \alpha & \ cos\ \alpha \ \end{matrix} \right] \) is such that A^T = A^-1, find \(\alpha\)
4)
Verify that A(adj A) = (adj A) A = IAI·I for the matrix A = \(\begin{bmatrix}2 & 3 \\-1 & 4\end{bmatrix}\)
5)
Solve: 2x + 5y = 1 and 3x + 2y = 7 using matrix method.

11th Standard Business Maths Public Exam March 2019 Important One Mark Test - by Basky - Mar 15, 2019 - View & Read

1)
The value of \(\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}\) is ________.
2)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
3)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
4)
adj (AB) is equal to ________.
5)
The inverse matrix of \(\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}\) is ________.

Plus One Business Maths Public Exam March 2019 One Mark Question Paper - by Basky - Mar 12, 2019 - View & Read

1)
The co-factor of -7 in the determinant \(\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}\) is________.
2)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
3)
adj (AB) is equal to ________.
4)
If A and B are non-singular matrix then, which of the following is incorrect?
5)
If A is a square matrix of order 3 and IAI = 3 then | adj A| is equal to ________.

11th Standard Business Maths Public Exam March 2019 Important One Mark Questions - by Basky - Mar 12, 2019 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
3)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
4)
If A is square matrix of order 3, then |kA| is________.
5)
adj (AB) is equal to ________.

11th Standard Business Maths Public Exam March 2019 Important Creative Questions and Answers - by Basky - Mar 12, 2019 - View & Read

1)
The technology matrix of an economic system of two industries is\(\begin{bmatrix} 0.50 & 0.30 \\ 0.41 & 0.33 \end{bmatrix}\). Test whether the system is viable as per Hawkins Simon conditions.
2)
Find the minors and cofactors of all the elements of the following determinants. \(\begin{bmatrix} 1&-3&2\\4&-1&2\\3&5&2 \end{bmatrix}\)
3)
Find |AB| if \(A=\begin{bmatrix} 3&-1\\2&1 \end{bmatrix} \) and \(B =\begin{bmatrix} 3&0\\1&-2 \end{bmatrix}\)
4)
If A \(=\begin{bmatrix} 1 \\ -4\\3 \end{bmatrix}\) and B = [-1 2 1], verify that (AB)^T = B^T. A^T
5)
Using the property of determinant, evaluate \(\begin{vmatrix} 6 &5 &12 \\ 2 & 4 &4 \\2 & 1 & 4 \end{vmatrix}.\)

11th Standard Business Maths Public Exam March 2019 Important 5 Marks Questions - by Basky - Mar 12, 2019 - View & Read

1)
Evaluate:\(\begin{vmatrix} 1&a&a^2-bc\\1&b&b^2-ca\\1&c&c^2-ab \end{vmatrix}\)
2)
If A = \(\begin{bmatrix}1 & 1 & 1 \\ 3 & 4 & 7\\1 & -1 & 1 \end{bmatrix}\) verify that A ( adj A ) = ( adj A ) A = |A| I₃.
3)
Solve by using matrix inversion method: x - y + z = 2; 2x - y = 0 , 2y - z = 1.
4)
Without expanding show that \(\Delta =\left| \begin{matrix} { cosec }^{ 2 }\theta & { cot }^{ 2 }\theta & 1 \\ { cot }^{ 2 }\theta & { cosec }^{ 2 }\theta & -1 \\ 42 & 40 & 2 \end{matrix} \right| =0\)
5)
If \(A=\left[ \begin{matrix} 1 & tan\quad x \\ -tan\quad x & \quad \quad \quad 1 \end{matrix} \right] \), then show that A^TA^-1= \(\left[ \begin{matrix} cos\quad 2x & -sin2x \\ sin\quad 2x & cos2x \end{matrix} \right] .\)

Plus One Business Maths Public Exam Official Model Question Paper 2019 - by Basky - Mar 04, 2019 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.
3)
The value of n, when nP₂ = 20 is _______.
4)
Thirteen guests has participated in a dinner. The number of handshakes happened in the dinner is __________.
5)
The eccentricity of the parabola is _______.

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

1)
If A and B are non-singular matrix then, which of the following is incorrect?
2)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.
3)
The term containing x³ in the expansion of (x - 2y)⁷ is _________.
4)
If \(\frac { kx }{ (x+4)(2x-1) } =\frac { 4 }{ x+4 } +\frac { 1 }{ 2x-1 } \) then k is equal to _______.
5)
The focus of the parabola x² = 16y is _______.

Plus One Business Maths Matrices And Determinants Important Questions - by Basky - Mar 04, 2019 - View & Read

1)
The value of \(\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}\) is ________.
2)
The inverse matrix of \(\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}\) is ________.
3)
The value of \(\begin{vmatrix} 5 & 5 & 5 \\ 4x & 4y & 4z \\ -3x & -3y & -3z \end{vmatrix}\)is ________.
4)
If A is 3 \(\times\) 3 matrix and |A| = 4, then |A^-1| is equal to ________.
5)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.

11th Standard Business Maths 3rd Revision Test Question Paper 2019 - by Basky - Feb 26, 2019 - View & Read

1)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
2)
The inventor of input-output analysis is ________.
3)
The possible out comes when a coin is tossed five times _________.
4)
Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is _____.
5)
The double ordinate passing through the focus is _______.

11th Standard Business Maths Public Exam Important Questions and Answers 2019 - by Basky - Feb 18, 2019 - View & Read

1)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
2)
Which of the following matrix has no inverse.
3)
If nC₃ = nC₂, then the value of nC₄ is _______.
4)
Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is _____.
5)
The slope of the line 7x + 5y - 8 = 0 is _______.

11th Standard Business Maths Model Revision Test Question Paper 2019 - by Basky - Feb 18, 2019 - View & Read

1)
adj (AB) is equal to ________.
2)
If A is an invertible matrix of order 2, then det (A^-1) be equal to ________.
3)
The value of n, when nP₂ = 20 is _______.
4)
The last term in the expansion of (3 +\(\sqrt{2}\) )⁸ is ________
5)
If kx² + 3xy - 2y²= 0 represent a pair of lines which are perpendicular then k is equal to _______.

11th Stateboard Maths Analytical Geometry Important Questions - by Basky - Feb 15, 2019 - View & Read

1)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.
2)
The slope of the line 7x + 5y - 8 = 0 is _______.
3)
If kx² + 3xy - 2y²= 0 represent a pair of lines which are perpendicular then k is equal to _______.
4)
The length of the tangent from (4,5) to the circle x² + y² = 16 is _______.
5)
The focus of the parabola x² = 16y is _______.

11th Standard Business Maths First Revision Question Paper - by Basky - Dec 28, 2018 - View & Read

1)
The inverse matrix of \(\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}\) is ________.
2)
Which of the following matrix has no inverse.
3)
The term containing x³ in the expansion of (x - 2y)⁷ is _________.
4)
The number of permutation of n different things taken r at a time, when the repetition is allowed is ________.
5)
If kx² + 3xy - 2y²= 0 represent a pair of lines which are perpendicular then k is equal to _______.

11th Standard Business Maths Half Yearly Model Question Paper - by Basky - Dec 28, 2018 - View & Read

1)
If A \(=\begin{pmatrix} -1 & 2 \\ 1 & -4 \end{pmatrix}\) then A (adj A) is ________.
2)
The value of \(\begin{vmatrix} x & x^2 & -yz & 1 \\ y & y^2 & -zx & 1 \\ z & z^2 & -xy &1 \end{vmatrix}\) is ________.
3)
The number of ways selecting 4 players out of 5 is _______.
4)
The value of (5C₀ + 5C₁) + (5C₁ + 5C₂) + (5C₂ + 5C₃) + (5C₃ + 5C₄) + (5C₄ + 5C₅ ) is ________.
5)
(1, - 2) is the centre of the circle x²+ y² + ax + by - 4 = 0 , then its radius _______.

11th Business Maths Correlation and Regression Analysis Important Questions - by Basky - Dec 14, 2018 - View & Read

1)
Correlation co-efficient lies between ______.
2)
The variable whose value is influenced (or) is to be predicted is called ________.
3)
When one regression coefficient is negative, the other would be ________.
4)
The lines of regression intersect at the point ________.
5)
If Cov(x, y) = –16.5, \({ \sigma }_{ x }^{ 2 }=2.89,{ \sigma }_{ y }^{ 2 }\) = 100. Find correlation coefficient ________.

Operations Research Important Questions - 11th Business Maths - by Basky - Dec 06, 2018 - View & Read

1)
The critical path of the following network is________.
2)
In a network while numbering the events which one of the following statement is false?
3)
In the given graph the coordinates of M₁ are
4)
The maximum value of the objective function Z = 3x + 5y subject to the constraints x > 0 , y > 0 and 2x + 5y ≤ 10 is ______.
5)
The objective of network analysis is to ________.

11th Business Maths 5 Marks Revision Test - by Basky - Dec 04, 2018 - View & Read

1)
Suppose the inter-industry flow of the product of two industries are given as under.

Production sector Consumption sector Domestic demand Total output

X Y

X 30 40 50 120

Y 20 10 30 60

Determine the technology matrix and test Hawkin's -Simon conditions for the viability of the system. If the domestic demand changes to 80 and 40 units respectively, what should be the gross output of each sector in order to meet the new demands.
2)
An amount of Rs. 5000 is put into three investment at the rate of interest of 6%, 7% and 8% per annum respectively. The total annual income is Rs. 358. If the combined income from the first two investment is Rs. 70 more than the income from the third, find the amount of each investment by matrix method.
3)
Resolve into partial fractions for the following : \(\frac{x-2}{(x+2)(x-1)^2}\)
4)
Using binomial theorem, find the value of \({ \left( \sqrt { 2 } +1 \right) }^{ 5 }+{ \left( \sqrt { 2 } -1 \right) }^{ 5 }\)
5)
Show by the principle of mathematical induction that 2³ⁿ–1 is a divisible by 7, for all \(n \in N\).

11th Business Maths Half Yearly Model Question Paper 1 - by Basky - Nov 29, 2018 - View & Read

1)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
2)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.
3)
The number of ways to arrange the letters of the word "CHEESE" is ______.
4)
The number of permutation of n different things taken r at a time, when the repetition is allowed is ________.
5)
The x-intercept of the straight line 3x + 2y - 1 = 0 is _______.

12th Standard Business Maths Important Question Paper - by S.B.O.A. Matric and Hr Sec School - Oct 01, 2018 - View & Read

1)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
2)
The inverse matrix of \(\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}\) is ________.
3)
The value of \(\begin{vmatrix} 5 & 5 & 5 \\ 4x & 4y & 4z \\ -3x & -3y & -3z \end{vmatrix}\)is ________.
4)
If any three rows or columns of a determinant are identical then the value of the determinant is ________.
5)
The number of ways selecting 4 players out of 5 is _______.

11th Business Mathematics Important One Mark Question Paper - by Basky - Aug 06, 2018 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
3)
adj (AB) is equal to ________.
4)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
5)
The inverse matrix of \(\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}\) is ________.

11th Business Mathematics Term I Model Question Paper - by Basky - Aug 03, 2018 - View & Read

1)
The co-factor of -7 in the determinant \(\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}\) is________.
2)
If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is ________.
3)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
4)
If \(\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}\) and A_ij is cofactor of a_ij, then value of \(\triangle\) is given by ________.
5)
If nC₃ = nC₂, then the value of nC₄ is _______.

Business Mathematics Important Question Paper 1 In 11th - by Basky - Aug 01, 2018 - View & Read

1)
If m₁ and m₂ are the slopes of the pair of lines given by ax²+ 2hxy + by² = 0, then the value of m₁+ m₂ is _______.
2)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.
3)
If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is _______.
4)
The locus of the point P which moves such that P is at equidistance from their coordinate axes is _______.
5)
The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0 is _______.

Algebra Important Question In 11th Business Mathematics - by Basky - Aug 01, 2018 - View & Read

1)
The value of n, when nP₂ = 20 is _______.
2)
The number of ways selecting 4 players out of 5 is _______.
3)
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.
4)
If n is a positive integer, then the number of terms in the expansion (x + a)ⁿ is _______.
5)
For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to _______

Trignometry Important Question Paper In 11th Business Mathematics - by Basky - Jul 28, 2018 - View & Read

1)
If \(\tan\theta=\frac{1}{\sqrt5}\) and \(\theta\) lies in the first quadrant, then \(\cos\theta\) is _______.
2)
The value of 1 - 2sin²45^o is _______.
3)
The value 4cos³40^o- 3cos40^o is ________.
4)
The value of \(\frac{2\tan30^o}{1+tan^230}\) is _____.
5)
If \(\sin A=\frac{1}{2}\) then \(4\cos^3A-3\cos A\) is ________.

Analytical Geometry Important Question Paper In 11th Business Mathematics - by Basky - Jul 28, 2018 - View & Read

1)
The angle between the pair of straight lines x² - 7xy + 4y² = 0 _______.
2)
If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is _______.
3)
The x-intercept of the straight line 3x + 2y - 1 = 0 is _______.
4)
If the centre of the circle is (-a, -b) and radius is \(\sqrt{a^2-b^2}\), then the equation of circle is _______.
5)
Combined equation of co-ordinate axes is _______.

Business Mathematics Important Question Paper 2 In 11th - by Basky - Jul 26, 2018 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
3)
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
4)
Which of the following matrix has no inverse.
5)
The inverse matrix of \(\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}\) is ________.

Business Mathematics One Mark Question Paper In 11th - by Basky - Jul 23, 2018 - View & Read

1)
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
2)
adj (AB) is equal to ________.
3)
If A = \(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\)such that ad - bc \(\neq\) 0 then A^-1 is ________.
4)
The inverse matrix of \(\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}\) is ________.
5)
If A and B are non-singular matrix then, which of the following is incorrect?

Estimated cost	300	450	800	250	500	975	475	400
Actual cost	273	486	734	297	631	872	396	457

Title	Sales	Advertisement expenditure(Rs.Cross)
Mean	40	6
SD	10	1.5

Activity:	A	B	C	D	E	F	G	H	I	J	K
Predecessor activity:	-	-	-	A	B	B	C	D	F	H,I	F,G

Activity	A	B	C	D	E	F	G	H	I	J	K
Immediate Predecessors	-	-	-	A	B	B	C	D	E	H,I	F,G

Title	Psychologist	Socialist	Democrate	Total
Men	15	25	10	50
Women	20	15	15	50
Total	35	40	25	100

Production sector	Consumption sector		Domestic demand	Total output
Production sector	X	Y	Domestic demand	Total output
X	30	40	50	120
Y	20	10	30	60

Rank of A	1	2	3	4	5	6	7	8	9	10
Rank of B	6	7	5	10	3	9	4	1	8	2

Marks	10	20	30	40	50
No. of students	20	30	50	15	5

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