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

MEDIUM

SRMJEE (UG)

IMPORTANT

Earn 100

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

50% studentsanswered this correctly

Important Questions on Complex Numbers

HARD

SRMJEE (UG)

IMPORTANT

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

If

z = a + i b

, then

i \log (\frac{\bar{z}}{z})

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 - 4 i},

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

|z_{1} + z_{2}| = |z_{1}| + |z_{2}|

, then

\arg (z_{1}) - \arg (z_{2})

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

ω

is an imaginary cube root of unity, then

{(1 + ω - ω^{2})}^{7}

equals