Question # 1

The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

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none of these

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

How many arrangements of the letter of the word PAKPATTAN can be made

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If f(x)= x³ then f(-2) is

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-2

-4

-8

8

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

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A

0

Unit vector

None

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

The constant distance of all points of the circle from its centre is called the

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

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1

0

3

-1

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A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

n(n - 1) (n - 2) .... (n - r + 1) = ______

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A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

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1

2

3

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

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2

5

7

None of these

Which is not included in the domain of cos^-1x

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0

1

-1

2

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sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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