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The sum of the maximum and the minimum values of `2(cos^(-1)x)^(2)-pi cos^(-1) x+(pi^(2))/(4)` is

A

`(pi^(2))/(8 )`

B

`(11pi ^(2))/(8 )`

C

`(3 pi ^(2))/(2 )`

D

`4 pi^(2)`

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