If , where C 0 , C 1 , C 2 are all real, the equation C 2 …

Maths Definite Integral and Area Under Curves General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If , where C 0 , C 1 , C 2 are all real, the equation C 2 x 2 + C 1 x + C 0 = 0 has:

atleast one root in (0, 1)

one root in (1, 2) & other in (3, 4)

one root in ( − 1, 1) & the other in ( − 5, − 2)

both roots imaginary

Text Solution

Verified by Experts

The correct answer is:

= = = 0 (given)

⇒ graph y = C 2 x 2 + C 1 x + C 0 crosses x-axis atleast once.

⇒ at least one root of the equation C 2 x 2 + C 1 x + C 0 = 0 is present in (0, 1)

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