Question # 1

The equation x² + y² +2g +2fy + c =0 represents a circle whose centre is :

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(g,f)

(-g,-f)

(2g ,2f)

(-2f ,-2g)

The set which has no proper subset is

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{0}

{}

{∅}

None of these

(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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

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There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

cos 2α=

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1 - 2 sin²α

sin ²α+ cos²β

sin²α- cos²β

None of these

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

Three right angles is the angle of measure

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270°

180°

90°

270'

Period of sec x is ______

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Tangent is ...............function

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Inverse

one-one

in-to

Periodic

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

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If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

Arithmetic mean between 14 and 18 is

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16

17

15

32

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

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3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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0

1

2

3

What is the period of 5 cot x=?

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π

-π

π/2

2π

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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2x - 3x + c

x²- 3x + c

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

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