The imaginary part of (1+i)^2 (2-i) is - Vidyadip

MCQ

The imaginary part of $\frac{(1+i)^2}{(2-i)}$ is

A
$\frac{1}{5}$
B
$\frac{3}{5}$
✓
$\frac{4}{5}$
D
$\frac{2}{5}$

✓

Answer

Correct option: C.

$\frac{4}{5}$

(C)
$\frac{(1+i)^2}{2-i}=\frac{(2 i)(2+i)}{(2-i)(2+i)}=-\frac{2}{5}+i \frac{4}{5}$

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