Question # 1

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 A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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0

undefined

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

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None of these

The domain of the principle cos function is

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The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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none of these

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What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

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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The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

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0

1

2

3

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

If E = { } , then P(E)

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∅

{ }

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

(∅)

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

The middle term(s) of (a+x)11 is

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6th term

6thor 7th

7th term

6thand7th

Intersection of two parabolas

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parabola

Two points

Four points

Hyperobla

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z is purely imaginary

a is any complex number

z is real

None of these

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

Domain of sec x is ______

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The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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