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Consider f(x)=int(1)^(x)(t+(1)/(t))dt an...

Consider `f(x)=int_(1)^(x)(t+(1)/(t))dt` and g(x) = f'(x) for `x in [(1)/(2), 3].` If P is a point on the curve `y=g(x)` such that the tangent to this curve at P is parallel to a chord joining the points `((1)/(2),g((1)/(2)))` and (3, g (3)) of the curve, then the coordinates of the point P are

A

`y=x+(3)/(4),y=x-(1)/(4)`

B

`y=-x+(1)/(4), y=-x+(3)/(4)`

C

`x-y=2, x-y=1`

D

None of these

Text Solution

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The correct Answer is:
A
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