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Let f(x)=(1)/(1+x^(2)), let m be the sl...

Let `f(x)=(1)/(1+x^(2)),` let m be the slope, a be the x-intercept and b be they y-intercept of a tangent to y=f(x).
Value of b for the tangent drawn to the curve y=f(x) whose slope is greatest, is

A

`(9)/(8)`

B

`(3)/(8)`

C

`(1)/(8)`

D

`(5)/(8)`

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The correct Answer is:
A
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