Question # 1

If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

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0

1

-1

undefined

sin 3a = ______;

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3sin a - 4sin3a

4sin a -3 sin3 a

3 cos3 a -cosa

4cos3 a - 3cos a

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

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

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none of these

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

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360°

180°

90°

None of these

What is the circular measure of the angle between the hands of a watch at 4 O'clock

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Derivative of x³w.r.t x is

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0

1

3x²

x³

The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is

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1 degree

1 second

1 minute

1 radian

Which of the following is skew symmetric matrix

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Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

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110

220

1320

None of these

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none of these

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

In one hour, the hour hand of a clock turns through

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Which of the following is an identity matrix?

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none of these

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What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

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cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

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If a polynomial P(x) is divided by x - a, then the remainder is

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P(o)

P(-a)

P(a)

None of these

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If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

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