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 $