Question # 1

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

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A

B

U

None of these

The multiplicative inverse of 1 - 2i is

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Which is a proper rational fraction

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Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

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0

1

-A

-1

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

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quadratic function

constant function

linear function

exponential function

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p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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-1

0

1

undefined

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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The number of words that can be formed out of the letters of the word ASSASSINATION is

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If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

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(2,7)

(-2,-7)

(-2,7)

(2,-7)

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Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

The conjugate of √5 i is

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√5

-√5 i

i

5i

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

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Inverse

one-one

in-to

Periodic

What is the circular measure of the angle between the hands of a watch at 4 O'clock

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The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

General solution of tan 5θ= cot 2θis

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Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

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graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

sin 2 α=

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The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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