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 $