Complex Numbers And Quadratic Equations question 95

Question: Let $ z $ be a purely imaginary number such that $ Im(z)>0 $ . Then $ arg(z) $ is equal to

Options:

A) $ \pi $

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

C) 0

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

Show Answer

Answer:

Correct Answer: B

Solution:

Let $ z=0+ib $ , where $ b>0 $ . Then $ z $ lies on +ve y-axis and so $ arg(z)=\frac{\pi }{2} $ .