Let p, q, r, s ∈ R, x 2 + px + q = 0, x 2 + rx + s = 0 such…

Maths Quadratic Equations General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let p, q, r, s ∈ R, x 2 + px + q = 0, x 2 + rx + s = 0 such that 2 (q + s) = pr then

at least one of the equation have real roots.

either both equations have imaginary roots or both equations have real roots.

one of equations have real roots and other equation have imaginary roots

at least one of the equations have imaginary roots.

Text Solution

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The correct answer is:

Since is +ve, so at least one of the equations has real roots.

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