Question # 1

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

The number of different ways of describing a set is

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One

Two

Three

Four

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

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k3

0

3k

k6

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

cos2a=______;

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cos2 a-sin2 a

2cos2 a-1

1-2 sin2 a

All of these

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

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A

A'

U

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3/8

7/8

1/8

None

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

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The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

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sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

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z is purely imaginary

a is any complex number

z is real

None of these

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

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0

1

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

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Imaginary

Rational

Irrational

Real numbers

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

Which of the following is skew symmetric matrix

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The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

None of these

Range of secθis

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Z - {x | -1 < x < 1}

W - {x | -1 < x < 1}

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

R

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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