Question # 1

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

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an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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

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Relation

Cartesian product

Function

Graph

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[0,1[

[0, 1]

]0, 1[

None of these

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1

-1

5

2

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

Z is a group under

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Subtraction

Multiplication

Addition

None of these

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

Which of the following is a quadrantal angle

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30°

45°

60°

90°

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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

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0

90°

180°

360°

√-1 b=

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b

2

2b

None of these

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2 b

2 a

2 ab

a + b

Which of the following represents a vector

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(x, y)

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

-1-a

None of these

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None of these

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If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

A = B if

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A is equivalent to B

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If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

Arithmetic mean between a and b is

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2

1

5

0

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

What is the period of cos 6x =?

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π/2

π/3

π/4

π

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