Question # 1

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

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1

-1

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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-x

Infinite set

{-4, 4}

None of these

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

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The product of cube roots of unity is

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Zero

1

-1

None of these

Tangent is a periodic function and its period is ______

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2π

3π

π

4π

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The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are

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The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

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none of these

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

Which conjunction is not true ?

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A function from X to X is denoted as

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f : X to Y

f : Y to Y

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Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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none of these

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