Complex Numbers and Quadratic Equations (BITSAT Mathematics): Questions 1 - 9 of 12

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Question number: 1

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

(z+1)(z¯+1) can be expressed as –

Choices

Choice (4) Response
a.

z 2+2

b.

z+1 2

c.

z2 +1

d.

zz¯+1

Question number: 2

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

If z =3 , then points on 1+4z lie on a –

Choices

Choice (4) Response
a.

Parabola

b.

Circle

c.

Line

d. All of the above

Question number: 3

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

The maximum value of z , when 2+2z =2 is

Choices

Choice (4) Response
a.

31

b.

3

c.

3+1

d.

2+3

Question number: 4

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

If z is a complex number, then 3z1 =3 z2 represents –

Choices

Choice (4) Response
a.

yaxis

b.

xaxis

c.

A circle

d.

A line parallel to yaxis

Question number: 5

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

The curve represented by Im(z2)=k , where k is a non – zero real number, is a –

Choices

Choice (4) Response
a.

Ellipse

b.

Parabola

c.

Circle

d.

Hyperbola

Question number: 6

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

If z=3+i2 , then z69 is equal to,

Choices

Choice (4) Response
a.

i

b.

i

c.

- 1

d.

1

Question number: 7

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

If z lies on z =1 , then 2z lies on –

Choices

Choice (4) Response
a.

Parabola

b.

Ellipse

c.

Line

d.

Circle

Question number: 8

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

The smallest integer for which (1+i1i)n=1 is

Choices

Choice (4) Response
a.

n=8

b.

n=4

c.

n=12

d.

n=16

Question number: 9

» Complex Numbers and Quadratic Equations » Representation of Complex Numbers in Form a Plus Ib

MCQ▾

Question

z+z¯=0 , if and only if,

Choices

Choice (4) Response
a.

Re(z)=0

b.

Im(z)=0

c.

z=0

d. Question does not provide sufficient data or is vague

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