Test Index

CBSE Class 12 Math 2023 All Sets Solved Paper

© examsnet.com
Question : 20 of 20
Marks: +1, -0
Assertion (A) : Maximum value of (cos⁡−1x)2(\cos^{-1}x)^2 is π2.\pi^2.
Reason (R): Range of the principal value branch of cos⁡−1x\cos^{-1} x is [−π2,π2].\left[-\frac{\pi}{2}, \frac{\pi}{2}\right].
Solution:  
Range of the principal value branch of cos⁡−1x\cos^{-1}x is [0, π].
∴ The maximum value of (cos⁡−1x)2(\cos^{-1}x)^2 is π2\pi^2.
(A) is true, but (R) is false.
© examsnet.com
Go to Question:
Prev Question