Given is a complex number with modulus 1. Then, the equati…

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

Published by: CGP EDU Academic Team

Published on: August 11, 2026

Given is a complex number with modulus 1. Then, the equation has

all roots, real and distinct

two real and two imaginary

three roots real and one imaginary

one root real and three imaginary

Text Solution

Verified by Experts

The correct answer is:

Let

For real ,

Hence .

Given and , so all fourth roots of also lie on the unit circle.

Now,

Hence

So solutions satisfy

Thus there are 4 distinct real values of a.

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