The modulus of the complex number (\frac{(1+i)^2(1+3i)}{(2-6... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The modulus of the complex number $\frac{(1+i)^2(1+3i)}{(2-6i)(2-2i)}$ is

A

$\frac{1}{\sqrt2}$

B

$\frac{4}{\sqrt2}$

C

$\frac{\sqrt2}{4}$

D

$\frac{2}{\sqrt2}$

Answer

$\frac{\sqrt2}{4}$

Explanation

Solution

The correct answer is (C) : $\frac{\sqrt2}{4}$ .