Given that, for all , the expression lies between and 3 …

Maths Quadratic Equations Skill Builder Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Given that, for all , the expression lies between and 3 , the values between which the expression lies, are

3 and 1

and 2

-1 and 1

0 and 2

Text Solution

Verified by Experts

The correct answer is:

We have,

Let

By the given condition, for every ,

But

We have, product of the roots , which is true.

And sum of the roots

From Eqs. (i) and (ii), we get

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

Previous Question Next Question

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

Share your experience with this question and solution.

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

What students say about this solution

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