Home Maths Complex Number Skill Builder Given is a complex number with modulus 1. T…
Maths Complex Number Skill Builder Single Correct MCQ
Published on: August 13, 2026

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

A
all roots real and distinct
B
two real and two imaginary
C
three roots real and one imaginary
D
one root real and three imaginary

Share this question

WhatsApp

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

or

or

or

Therefore, lies on the perpendicular bisector of and , which is the real axis. Hence, all the roots are real. Obviously roots are distinct

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

Let be a complex number such that , then
If and are two polynomials such that the polynomial is divisible by , then which one of the fol…
If and , then are vertices of
If , then is equal to
If , then is equal to
If , then is equal to
CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.