If are four complex numbers such that is real and , then… | CGP Edu

Maths Complex Number The Modulus and the Conjugate of a Complex Number Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

If are four complex numbers such that is real and , then , represents a

A

Circle

B

Parabola

C

Ellipse

D

Straight line

Text Solution

Verified by Experts

The correct answer is:

As t is real,

Since is real, or
Therefore (1) can be written as ….(2)
where and
Note that for if then
a is real
,
which is against hypothesis.
Also, note that is a purely real number.
Thus, represents a straight line.

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

If z is a complex number, then

The equation represents a circle, whose radius is -

If are the complex cube roots of unity, then is equal to -

The maximum value of when satisfies the condition is -

If , then a and b is equal to-

The equation |z – 1| 2 + |z + 1| 2 = 2 represents

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.