Question # 1

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

The principal value of sin-1√(3/2) is

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-π/3

π/3

2π/3

π/2

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t²the maximum height attained by it =

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What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

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(ABC)' =

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CBA'

CBA

C' B' A'

None of these

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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2

-3/2

1

0

Three right angles is the angle of measure

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270°

180°

90°

270'

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Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

[i,j,k]

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0

2

1

-2

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

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none of these

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8

4

64

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2

5

7

None of these

cos 2α=

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1 - 2 sin²α

sin ²α+ cos²β

sin²α- cos²β

None of these

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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x²+ x - 6 = 0 is a conditional equation and it is true for

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2, 3

2, -3

-2, -3

-2, 3

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