If are allpositive, then has at least one root in if | CGP Edu

Maths Quadratic Equations Skill Builder Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If are allpositive, then has at least one root in if

A

and

B

C

and

D

None of these

Text Solution

Verified by Experts

The correct answer is:

is a polynomial, so it is continuous for all .

Now ,

Also using Rolle's theorem,

For

for at least one root in

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

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

The value of the expression , when

If , then value of is

The sum of the non-real roots of 12 is

The number of irrational roots of the equation is

The curve intersects the curve in exactly one point, if equals

If the expression is a perfect square, then

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.