• # question_answer If ${{z}_{1}}=1-i$ and ${{z}_{2}}=-2+4i$,  then  $\operatorname{Im}\left( \frac{{{z}_{1}}{{z}_{2}}}{{{z}_{1}}} \right)=$ A) 1 B) 2 C) 3 D) 4

If${{z}_{1}}=1-i$and  ${{z}_{2}}=-2+4i$ Then$\frac{{{z}_{1}}{{z}_{2}}}{{{z}_{1}}}=\frac{(1-i)(-2+4i)}{1-i}=-2+4i$Þ $\operatorname{Im}\left( \frac{{{z}_{1}}{{z}_{2}}}{{{z}_{1}}} \right)=4$.