If $i{z}^3+z^2-z+i=0,$ then $\left|z\right|=$

Important Questions on Complex Numbers

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2017>Q 3

If $z=\left(k+4\right)+i\sqrt{9-k^2}$, then the locus of $z$ is, (where $i=\sqrt{-1}$ )

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2017>Q 4

If $i{z}^3+z^2-z+i=0$, then the value of $\left|z\right|$ is:

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2017>Q 5

The maximum value of $\left|z\right|$ when $z$ satisfies the condition $\left|z-\frac{2}{z}\right|=2$ is:

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2017>Q 6

If $a, b, c, p, q, r$ are six complex numbers, such that $\frac{p}{a}+\frac{q}{b}+\frac{r}{c}=1+i$ and $\frac{a}{p}+\frac{b}{q}+\frac{c}{r}=0,$ where $i=\sqrt{-1},$ then the value of $\frac{p^2}{a^2}+\frac{q^2}{b^2}+\frac{r^2}{c^2}$ is:

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2017>Q 7

The solutions of the equation $z\overline{(z-3i)}=2(2+3i)$ are:

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2016>Q 8

If $\left|z-i\right|\le 2$ and $z_0=5+3i$, then the maximum value of $\left|iz+z_0\right|$ is

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2016>Q 9

If the equation $a{z}^2+2bz+a=0$, where $a,b$ are complex numbers, has both roots purely real, then

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>Assam CEE 2016>Q 10

If $z=1+i\cot \theta ,\frac{3\pi }{2}<\theta <2\pi$ then $\left|-\frac{4z}{i}\right|$ is equal to