Embibe Experts Solutions for Chapter: Complex Numbers, Exercise 1: Exercise

If $z_1=1+2i, z_2=1-3i$ and $z_3=2+4i$ then, the points on the Argand diagram representing $z_1{z}_2{z}_3, 2z_1{z}_2{z}_3, -7z_1{z}_2{z}_3$ are:

If $a \text{and} b$ are integers then $\sqrt{a}\times \sqrt{b}=\sqrt{ab}$ is true only when

$\sqrt{-9}\times \sqrt{-25}=?$

If $\left|z-z_1\right|=\left|z-z_2\right|$, then the locus of $z$ is 

$\left(\frac{1+2i}{1-i}\right)$ lies in

The complex number $z$ such that $\left|\frac{z-i}{z+i}\right|=1$ lies on

The complex number $z$ such that $\left|\frac{z-5i}{z+5i}\right|=1$ lies on

The complex number $z$ such that $\left|\frac{z-2i}{z+2i}\right|=2$ lies on