Complex Numbers And Quadratic Equations question 97

Question: If $ z $ is a purely real number such that $ Re(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: A

Solution:

Let $ z=a+i0 $ , where $ a<0 $ . Then $ z $ is represented by a point on negative side of x-axis, therefore $ arg(z)=\pi $