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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).
Absicca of the point of contact of the tangent for which m is greatest, is

A

`(1)/sqrt(3)`

B

1

C

-1

D

`-(1)/sqrt(3)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Find the common tangent of y=1+x^(2) and x^(2)+y-1=0 . Also find their point of contact.

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    `(34/9 , 11/9)`
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