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

If `f(x) = A sin ((pix)/(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

`4/pi and 0`

D

`0 and -4/pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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