Home Maths Inequations & Inequalities Miscellaneous Equation and Inequation If and has at least one real root, then th…
Maths Inequations & Inequalities Miscellaneous Equation and Inequation Single Correct MCQ
Published on: August 13, 2026

If and has at least one real root, then the greatest value of is

A
B

C
D

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
C

We have,

Clearly, LHS and, RHS .
Thus, the two sides are equal if each is equal to -2 .
Now,

and, …… (ii)

Putting in (i), we get

Hence, the greatest value of is .

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

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.