If , then the locus of , is

Maths Complex Number All Topic Question for Revision Test Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

a circle

a straight line

a pair of straight lines

none of these

Text Solution

Verified by Experts

The correct answer is:

Let , where .
Given:

For , divide by :

Let . Then

So are the non-real cube roots of unity:

Thus

Hence lies on two rays through origin making angles .
Therefore locus is a pair of straight lines.

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