Mathematics - Functions Question with Solution | TestHub

$\begin{array}{rl}& {\bar{z}}_1=\frac{z_1{\bar{z}}_1}{z_1}={\left|{\mathrm{z}}_1\right|}^2{\mathrm{z}}_1^{-1}\\ & \Rightarrow \arg \left({\mathrm{z}}_1^{-1}\right)=\arg \left({\bar{z}}_1\right)\Rightarrow \arg \left({\mathrm{z}}_2\right)\\ & \Rightarrow {\mathrm{z}}_2={\mathrm{kz}}_1^{-1}(\mathrm{k}>0)\end{array}$