Question # 1

π is ______

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A complex number

A rational number

A natural number

An irrational number

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

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a sin(ax + b) + c

- a sin(ax + b) + c

The polar form of complex number x ≠ I y =

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r cos θ+ r sin θ

r cos θ+ is sin θ

cos θ+ r sin θ

i cos θ+ i sin θ

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3/8

7/8

1/8

None

Domain of cot x is ______

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The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

∀x∈(a,b),f(x) is increasing if

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f′(x) >0

f′(x) <0

f′′(x) >0

f′′(x) =0

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none of these

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none of these

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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0

1

-1

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If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

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none of these

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

The element range of sequence are called

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Series

progression

Members

Terms

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

w²⁹= ______

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0

1

w

w²

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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