Question # 1

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

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A rational number

A irrational number

An even integer

A factor of 36

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

Domain of sinθis

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Set of real numbers

Set of complex numbers

Set of natural numbers

Set of even numbers

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30°

45°

60°

75°

A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

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The matrix A is Hermitian when (A)' =

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A

-A

A

A'

(x + 3) (x + 4) = x²+ 7x + 12 is ______

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Quadratic equation

Linear equation

Cubic equation

Identity

Period of cot x is ______

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Gooch crucible is made of :

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Brass.

Porcelain.

Bronze.

Gold.

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

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1

3

2-i

-1

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The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

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If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

If Projvu = Projuv, then

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Uand vare parallel

|u|=|v|

Uandvre perpendicular

One ofuorv

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Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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b = c

a = c

b = 0

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

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

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

Domain of sec x is ______

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