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The greatest and least values of (sin^(-...

The greatest and least values of `(sin^(-1)x)^(2) + (cos^(-1)x)^(2)` are respectively

A

`(pi^(2))/(4) and 0`

B

`(pi)/(2) and (-pi)/(2)`

C

`(5 pi^(2))/(4) and (pi^(2))/(8)`

D

`(pi^(2))/(4) and (-pi^(2))/(4)`

Text Solution

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The correct Answer is:
C
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