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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)`

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The correct Answer is:
D
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

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  2. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

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  3. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

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  4. Consider the function f(x)=max. [(x^(2) , (1-x)^(2) , 2x(1-x))] , x i...

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  5. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

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  6. Consider the function f(x)=max x^(2), [((1-x)^(2),2x(1-x))],x in [0,1]...

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  7. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

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  8. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

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  9. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

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  10. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  11. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  12. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

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  13. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

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  14. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

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  15. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

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  16. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  17. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  18. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  19. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  20. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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