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Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The value of 'a' for which ax 2 +sin –1 (x 2 – 2x +2) + cos –1 (x 2 – 2x + 2) = 0 has a real solution is

π /2

– π /2

2/ π

–2/ π

Text Solution

Verified by Experts

The correct answer is:

ax 2 + sin –1 ((x – 1) 2 + 1) + cos –1 ((x – 1) 2 + 1) = 0

∴ –1 ≤ (x – 1) 2 + 1 ≤ 1 ⇒ x = 1

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