Complex Numbers And Quadratic Equations question 72

Question: $ | (1+i)\frac{(2+i)}{(3+i)} |= $ [MP PET 1995, 99]

Options:

A) $ -\frac{1}{2} $

B) $ \frac{1}{2} $

C) 1

D) $ -1 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ | (1+i)\frac{(2+i)}{(3+i)} |=|1+i|| \frac{2+i}{3+i} |=\frac{\sqrt{2}\times \sqrt{5}}{\sqrt{10}}=1 $