Complex Numbers and Quadratic Equations-Algebra of Complex Numbers (BITSAT Mathematics): Questions 1 - 7 of 7

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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 » 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: 3

» 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: 4

» 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: 5

» 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: 6

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

zz¯=0 , if and only if –

Choices

Choice (4) Response

a.

z=0

b.

Re(z)=0

c.

Im(z)=0

d.

Question does not provide sufficient data or is vague

Question number: 7

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

If Z1=3+4i and Z2=43i , then –

Choices

Choice (4) Response

a.

Amp(Z1)=Amp(Z2)

b.

Z2=Z1

c.

Z1>Z2

d.

Z2>Z1

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