Complex Numbers And Quadratic Equations question 257

Question: One of the cube roots of unity is [MP PET 1994, 2003]

Options:

A) $ \frac{-1+i\sqrt{3}}{2} $

B) $ \frac{1+i\sqrt{3}}{2} $

C) $ \frac{1-i\sqrt{3}}{2} $

D) $ \frac{\sqrt{3}-i}{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

It is obvious because the cube roots of unity are $ 1,\frac{-1+i\sqrt{3}}{2},\frac{-1-i\sqrt{3}}{2} $