Complex Numbers And Quadratic Equations question 94
Question: If $ z_1.z_2……..z_{n}=z, $ then $ argz_1+argz_2+…. $ + $ argz_{n} $ and $ arg $ $ z $ differ by a
Options:
A) Multiple of $ \pi $
B) Multiple of $ \frac{\pi }{2} $
C) Greater than $ \pi $
D) Less than $ \pi $
Show Answer
Answer:
Correct Answer: A
Solution:
We know that the principal value of $ \theta $ lies between $ -\pi $ and $ \pi $ .