The principal value of $i^i$ is equal to

Important Questions on Complex Numbers

MEDIUM

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Complex Numbers>SRMJEEE (UG) 2014>Q 5

If the imaginary part of $\frac{2z+1}{iz+1}$ is $-4,$ then the locus of the point representing $z$ in the complex plane is

HARD

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Complex Numbers>SRMJEEE (UG) 2016>Q 6

If $z=a+ib$, then $i\log \left(\frac{\overline{z}}{z}\right)$ is equal to

MEDIUM

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Complex Numbers>SRMJEEE (UG) 2014>Q 7

If $z=\frac{7-i}{3-4i},$ then $z^{14}$ equals

MEDIUM

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Complex Numbers>SRMJEEE (UG) 2015>Q 8

If $z_1,z_2$ are two non-zero complex numbers such that $\left|z_1+z_2\right|=\left|z_1\right|+\left|z_2\right|$, then $\arg \left(z_1\right)-\arg \left(z_2\right)$ is equal to

EASY

SRMJEE (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Complex Numbers>SRMJEEE (UG) 2015>Q 9

If $\mathrm{\omega }$ is an imaginary cube root of unity, then ${\left(1+\mathrm{\omega }-{\mathrm{\omega }}^2\right)}^7$ equals