Home Maths Quadratic Equations All Topic Question for Revision Test If are rational and no two of them are equa…
Maths Quadratic Equations All Topic Question for Revision Test Single Correct MCQ
Published on: August 13, 2026

If are rational and no two of them are equal, then the equations and,

A
have rational roots and exactly one them is common
B
will be such that at least one has rational roots
C
have at least one root common.
D
no common root

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
A

Clearly, the sum of the coefficients in both the equations is zero. Therefore, is a common root of the two equations. Let and be the other roots of the two equations.
Then,

and are distinct rationals

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

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

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.