If and are the real roots of and are the roots of . Th… | CGP Edu

Maths Quadratic Equations Skill Builder Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If and are the real roots of and are the roots of . Then the equation has always :

A

one positive and one negative root

B

two positive roots

C

two negative roots

D

can't say anything

Text Solution

Verified by Experts

The correct answer is:

Given:

has roots .
So,

Also are roots of

Hence,

Now consider:

Substitute :

Product of roots:

Since ,

Therefore product < 0 .
So roots are of opposite signs.

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