Complex Numbers And Quadratic Equations question 423
Question: The imaginary part of $ \frac{{{(1+i)}^{2}}}{(2-i)} $ is
Options:
A) $ \frac{1}{5} $
B) $ \frac{3}{5} $
C) $ \frac{4}{5} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
We have $ \frac{{{(1+i)}^{2}}}{2-i}=\frac{(2i)(2+i)}{(2-i)(2+i)} $ $ =-\frac{2}{5}+i\frac{4}{5} $ . Thus Im $ (z)=\frac{4}{5} $ .
BETA
