Complex Numbers And Quadratic Equations question 93

Question: $ arg( \frac{3+i}{2-i}+\frac{3-i}{2+i} ) $ is equal to

Options:

A) $ \frac{\pi }{2} $

B) $ -\frac{\pi }{2} $

C) 0

D) $ \frac{\pi }{4} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ arg( \frac{3+i}{2-i}+\frac{3-i}{2+i} )=arg( \frac{6+5i+i^{2}+6-5i+i^{2}}{5} ) $ $ =arg( \frac{10}{5} )=0 $ .