Question # 1

Which of the following is the subset of all sets?

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The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

If 2 and 2 are x and y components of vector then its angle with x-axis is

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30°

45°

60°

90°

The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t²the maximum height attained by it =

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If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

The element range of sequence are called

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Series

progression

Members

Terms

A relation in which the equality is true for all values of the unknown is called ______

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An identity

An equation

A polynomial

None of these

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

√25 is a number

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Rational

Irrational

Natural

Odd

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sec x tan x

-cosec x cot x

sec²x

-sin x

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none of these

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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

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Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

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(g,f)

(-g,f)

(g,-f)

(-g,-f)

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

cotθ= sin 2θifθ=

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The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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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

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Rational

Irrational

Natural

Odd

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