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If f(x) = A sin ((pi x)/(2)) + B , f' (1...

If `f(x) = A sin ((pi x)/(2)) + B , f' (1/2) = sqrt(2)` and `int_0^1 f(x) dx = (2A)/(pi)`, then the constants A and B are respectively :

A

`pi/2 and pi/2`

B

`2/pi and 3/pi`

C

`0 and (-4)/pi`

D

`4/pi and 0`

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The correct Answer is:
D
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