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Maths Quadratic Equations Solution of Quadratic Inequations and Miscellaneous Equations Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

For all x ∈ R, if mx 2 – 9mx + 5m + 1 > 0, then m lies in the interval -

(–4/61, 0)

[0, 4/61)

(4/61, 61/4)

(–61/4,0]

Text Solution

Verified by Experts

The correct answer is:

m > 0, D < 0

⇒ 81m 2 – 4m (5m + 1) < 0

⇒ 61m 2 – 4m < 0

⇒ m (61 m – 4) < 0

⇒ m ∈ (0, 4/61)

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