Consider f(x)=int1^x(t+1/t)dt and g(x)=f...

Consider `f(x)=int_1^x(t+1/t)dt` and `g(x)=f'(x)` If P is a point on the curve `y=g(x)` such that the tangent to this curve at P is parallel to the chord joining the point `(1/2,g(1/2))` and `(3,g(3))` of the curve then the coordinates of the point P

A

can't be found out

B

`((7)/(4),(65)/(28))`

C

`(1, 2)`

D

`(sqrt((3)/(2)),(5)/(sqrt6))`

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The correct Answer is:

D

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