Question # 1

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0

1

-1

none of these

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

The identity element with respect to subtraction is

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0

1

-1

Does not exist

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

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0

1

2

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3/8

7/8

1/8

None

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

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Natural numbers

Whole numbers

Integers

Rational numbers

The nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

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A natural number

A rational number

An irrational number

A whole number

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

The distance between the points (0,0) and (x,y) is

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x²+ y²

x

y

If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

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The area of sector with central angle of 1 radian in a circular region whose radius is 2m is

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0.5m2

2m2

1m2

4m2

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A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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0

1

undefined

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

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0

2

1

Infinite

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

In R, the additive identity is

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0

1

-1

None

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

R - { x | - 1 < x < 1}

The discriminant of the quadratic equation ax²+ bx + c = 0 is

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b²+ 4ac

b²- 4ac

4ac - b²

a²- 4ac

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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