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If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 a...

If `f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2` and `int_0^1 f(x)dx=(2A)/pi`
then constants `A` and `B` are

A

(a) `(pi)/2` and `(pi)/2`

B

(b) `2/(pi)` and `3/(pi)`

C

(c) `4/(pi)` and `0`

D

(d) `0` and `-4/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
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