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 $ .