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 $ .