Question # 1

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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(x, y)

(kx, y)

(x, ky)

(kx, ky)

The centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

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1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

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For Cosine Rule of any triangle ABC, b²is equal to

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a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

Sin 45° = ______

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If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

In a triangle if a > 45°,β > 30° then y cannot be

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90°

100°

10°

120°

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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15/23

7/15

7/8

15/7

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5

15

10

20

60° = ______

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Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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Arithmetic mean between 14 and 18 is

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16

17

15

32

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

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The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

The graph of a linear function is

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a circle

triangle

a straight line

none of these

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