Question # 1

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

(7,9) +(3,-5) =

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(4,4)

(10,4)

(9,-5)

(7,3)

Fundamental law is

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A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

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If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

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The value of i⁴ⁿ⁺¹

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1

-1

i

i²

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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1

12

5

29

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

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θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

w²⁹= ______

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0

1

w

w²

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

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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A.P.

G.P.

H.P.

None of these

Geometric mean between a and b is

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In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

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The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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