Complex Numbers And Quadratic Equations question 142

Question: Let $ z $ and $ w $ be the two non-zero complex numbers such that $ |z|=|w| $ and $ argz+argw=\pi $ . Then $ z $ is equal to [IIT 1995; AIEEE 2002]

Options:

A) $ w $

B) $ -w $

C) $ \overline{w} $

D) $ -\overline{w} $

Show Answer

Answer:

Correct Answer: D

Solution:

Trick: On checking the options, (d) satisfies both the conditions.