Complex Numbers And Quadratic Equations question 432

Question: If $ z_1=1-i $ and $ z_2=-2+4i $ , then $ Im( \frac{z_1z_2}{z_1} )= $

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: D

Solution:

If $ z_1=1-i $ and $ z_2=-2+4i $ Then $ \frac{z_1z_2}{z_1}=\frac{(1-i)(-2+4i)}{1-i}=-2+4i $ Þ $ Im( \frac{z_1z_2}{z_1} )=4 $ .