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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

If the equation cx 2 + bx – 2a = 0 has no real roots and a < , then-

ac < 0

a < 0

> a

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c, d)

f(x) = cx 2 + bx – 2a, – a > 0

b + c – 2a > 0, f(1) > 0

⇒ f(0) = – 2a > 0 ⇒ a < 0

also, c > 0 ⇒ ac < 0

also, c > 3a ⇒ > a

= – 2a > 0

> 2a ⇒ > a

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