Complex Numbers and Quadratic Equations (BITSAT Mathematics): Questions 10 - 16 of 16

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Question number: 10

» 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: 11

» 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

Question number: 12

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

MCQ▾

Question

If 1,ω,ω2 are the cube roots of unity, then a+bω+cω2+dω3c+dω+aω+bω2 is equal to

Choices

Choice (4) Response

a.

ω

b.

ω2

c.

1

d.

All of the above

Question number: 13

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

The locus of point z satisfying Re(z2)=0 is –

Choices

Choice (4) Response

a.

Straight line

b.

A circle

c.

An ellipse

d.

A hyperbola

Question number: 14

» Complex Numbers and Quadratic Equations » Triangle Inequality

MCQ▾

Question

If area of triangle on plane turned by number z , ωz and z+ωz is 43 , then |z| is –

Choices

Choice (4) Response

a.

6

b.

3

c.

4

d.

2

Question number: 15

» Complex Numbers and Quadratic Equations » Triangle Inequality

MCQ▾

Question

If the area of the triangle formed by points z , iz and z+iz is 50 square units, then|z| is –

Choices

Choice (4) Response

a.

5

b.

15

c.

10

d.

Question does not provide sufficient data or is vague

Question number: 16

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

The locus of point z satisfying Re(1z)=k , where k is a real number, is –

Choices

Choice (4) Response

a.

Hyperbola

b.

Point of straight lines

c.

Circle

d.

All of the above

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