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Let `f (x)` be function defined on `[0,1] ` such that `f (1)=0` and for any `a in (0,1], int _(0)^(a) f (x) dx - int _(a)^(1) f (x) dx =2 f (a) +3a +b` where b is constant.
The length of the subtangent of the curve ` y= f (x ) at x=1//2` is:

A

`sqrte-1`

B

`(sqrte-1)/(2)`

C

`sqrte+1`

D

`(sqrte+1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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