Which of the following is a purely imaginary number?

Important Questions on Complex Numbers and Quadratic Equations

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 5

The imaginary part of the complex number $\frac{2+3i}{1-3i}$ is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 6

If $z=7-9i$, then $z·\overline{z}=$

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 7

For any value of $t$, $(\cos t+i\sin t)(\cos t-i\sin t)$ is given by

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 8

The conjugate of $(5+2i{)}^2$ is 

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 9

If $z_1=1+2i$ and $z_2=2+3i$, then the value of $\left|z_1\right|+\left|z_2\right|=$?

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 10

The imaginary part of $z=\frac{a+ib}{a-ib}$ is 

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 11

The polar form of $\sqrt{3}+i$  is 

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 5 - Complex Numbers and Quadratic Equations>OBJECTIVE TYPE QUESTIONS>Q 12

The value of $i^6+i^7+i^8+i^9+i^{10}$