Question # 1

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

An equation of the form ax + by = k is homogeneous linear equation when:

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Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

Domain of cos x is ______

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Sec 30° = ______

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0

1

-1

None 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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3 x 1

1 x 3

3 x 3

1 x 1

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Closure law of addition

Associative law of addition

Commutative law of multiplication

Associative law of multiplication

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√(-1b) =?

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b i

-i b

b2

i√b

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

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0

2

1

Infinite

The sum of the odd coefficients in the expansion of (a + x)⁴is

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14

12

8

4

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

cos 6θ + cos 2 θ =_______;

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-2sin 4θ sin 2θ

2cos4θ cos2θ

2sin4θ cos2θ

2cos4θ sin2θ

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

O is ______

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A positive integer

A negative integer

A natural number

An integer

The number of different ways of describing a set is

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One

Two

Three

Four

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

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30°

60°

45°

None of these

w²⁸+ w³⁸= ______

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0

1

w

-1

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If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

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