Question # 1

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

(a, b) + (-a, -b) =

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(0,0)

(a, b)

(-a, -b)

(1, 1)

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

The distance of the point (2,3) from origin is

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5

2

3

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The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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

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A

∅

Ac

U

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None of these

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

Which is a proper rational fraction

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The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

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110

220

1320

None of these

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Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

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3/4

r

v

None of these

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

The inclination of a line parallel to y-axis is

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Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

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sec x tan x

-cosec x cot x

sec²x

-sin x

Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?

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x+1

2x+1

3x+1

2x-1

The conjugate of √5 i is

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√5

-√5 i

i

5i

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