\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =

(a)

x² + 2

(b)

\({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)

(c)

x²- 2

(d)

\({ x }^{ 2 }-\frac { 1 }{ { x }^{ 2 } } \)

If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________

(a)

-13, 2

(b)

2, 13

(c)

2, -13

(d)

-2,13

The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________

(a)

37

(b)

39

(c)

35

(d)

36

If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________

(a)

\(\frac { 1 }{ { y }^{ 8 } } \)

(b)

\(\frac { 1 }{ { y }^{ 6 } } \)

(c)

\(\frac { 1 }{ { y }^{ 4 } } \)

(d)

\(\frac { 1 }{ { y }^{ 3 } } \)

If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________

(a)

Constant function

(b)

Quadratic function

(c)

Cubic function

(d)

Identify function

If m and n are the two positive integers then m² and n² are ____________

(a)

Co-prime

(b)

Not co-prime

(c)

Even

(d)

odd

The difference between the remainders when 6002 and 601 are divided by 6 is ____________

(a)

2

(b)

1

(c)

0

(d)

3

In the arithmetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________

(a)

\(1000\frac { 10 }{ k } \)

(b)

\(5000\frac { 50 }{ k } \)

(c)

\(\frac { 1000 }{ k } +10\)

(d)

\(\frac { 5000 }{ k } +50\)

If p^th, q^th and r^th terms of an A.P. are a, b, c respectively, then (a(q - r) + b(r - p) + c(p - q) is____________

(a)

0

(b)

a + b + c

(c)

p + q + r

(d)

pqr

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

(a)

p+q-n

(b)

p+q+n

(c)

p-q+n

(d)

p-q-n

\(\frac { { x }^{ 2 }+7x12 }{ { x }^{ 2 }+8x+15 } \times \frac { { x }^{ 2 }+5x }{ { x }^{ 2 }+6x+8 } =\_ \_ \_ \_ \_ \_ \_ \_ \_ \)

(a)

x+2

(b)

\(\frac { x }{ x+2 } \)

(c)

\(\frac { 35{ x }^{ 2 }+60x }{ { 48x }^{ 2 }+120 } \)

(d)

\(\frac { 1 }{ x+2 } \)

The square root of 4m² - 24m + 36 is ___________

(a)

4(m-3)

(b)

2(m-3)

(c)

(2m-3)²

(d)

(m-3)

The product of the sum and product of roots of equation (a²-b²)x²-(a+b)²x+(a³-b³) = 0 is ___________

(a)

\(\frac { { a }^{ 2 }+ab+{ b }^{ 2 } }{ (a-b) } \)

(b)

\(\frac { a-b }{ a+b } \)

(c)

\(\frac { a-b }{ a+b } \)

(d)

\(\frac { a-b }{ { a }^{ 2 }+ab+{ b }^{ 2 } } \)

Axis of symmetry in the term of vertical line separates parabola into ___________

(a)

3 equal halves

(b)

5 equal halves

(c)

2 equal halves

(d)

4 equal halves

Choose the correct answer
(i) Every scalar matrix is an identity matrix
(ii) Every identity matrix is a scalar matrix
(iii) Every diagonal matrix is an identity matrix
(iv) Every null matrix is a scalar matrix

(a)

(i) and (iii) only

(b)

(iii) only

(c)

(iv) only

(d)

(ii) and (iv) only

If P and Q are matrices, then which of the following is true?

(a)

PQ ≠ QP

(b)

(P^T)^T ≠ P

(c)

P + Q ≠ Q + P

(d)

All are true

S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR

(a)

4 ST

(b)

5 ST

(c)

3 ST

(d)

3 QR

The ratio of the areas of two similar triangles is equal to ____________

(a)

The ratio of their corresponding sides

(b)

The cube of the ratio of their corresponding sides

(c)

The ratio of their corresponding attitudes

(d)

The square of the ratio of their corresponding sides

The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the triangle is ____________

(a)

108 cm²

(b)

54 cm²

(c)

27 cm²

(d)

216 cm²

If the angle between two radio of a circle is ^o, the angle between the tangents at the end of the radii is ____________

(a)

50^o

(b)

90^o

(c)

40^o

(d)

70^o

The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________

(a)

a+b+c

(b)

abc

(c)

(a+b+c)²

(d)

0

Find the equation of the line passing the point which is parallel to the y axis (5, 3) is ____________

(a)

y = 5

(b)

y = 3

(c)

x = 5

(d)

x = 3

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

(a)

3x+5y+15 = 0

(b)

3x+5y-20 = 0

(c)

2x+7y-20 = 0

(d)

4x+3y-15 = 0

The y-intercept of the line 3x - 4y + 8 = 0 is ___________

(a)

\(-\frac { 8 }{ 3 } \)

(b)

\(\frac { 8 }{ 3 } \)

(c)

2

(d)

\(\frac { 1 }{ 2 } \)

The value of (tan1^o tan2^o tan3^o..... tan89^o) is ___________

(a)

0

(b)

1

(c)

2

(d)

\(\frac{1}{2}\)