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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)`

Text Solution

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The correct Answer is:
A
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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. Evaluate (5!)/(1! 3!) × (7!)/(6! 3!)

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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. Evaluate (3!)/(2! 2!) × (8!)/(7! 4!)

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  7. Find the value of (2! + 3! - 1!)

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  8. Find the value of (10!)/(6! × 3! × 5!)

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  9. Solve : 1/(x + 1) + 4/(3x + 6) = 2/3

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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) " and " f(x)=sqrt(g(x)), f(x) ...

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  14. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

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  15. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

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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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