Complex Numbers And Quadratic Equations question 92

Question: The argument of the complex number $ -1+i\sqrt{3} $ is [MP PET 1994]

Options:

A) $ -60^{o} $

B) $ 60^{o} $

C) $ 120^{o} $

D) $ -120^{o} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ arg(-1+i\sqrt{3})={{\tan }^{-1}}( \frac{\sqrt{3}}{-1} )=120^{o} $ because it lies in second quadrant.