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Find value of c such that line joining t...

Find value of c such that line joining the points (0, 3) and (5, -2) becomes tangent to curve `y=c/(x+1)`

A

1

B

`-2`

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
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  4. A differentiable function y= f(x) satisfies f'(x)=(f (x))^2+5 and f (0...

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  5. The distance between the origin and the tangent to the curve y=e^(2x)+...

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  8. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

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  9. The equation of tangent to the curve y=b^(-x//a) at the point where it...

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  10. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

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  11. A function y = f(x) has a second-order derivative f''(x) =6(x-1). If i...

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  12. x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) the...

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  13. A curve is difined parametrically by x=e^(sqrtt),y=3t-log(e)(t^(2)), w...

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  14. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

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  15. In the corve represented parametrically by the equations x=2ln cott+1 ...

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  16. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

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  17. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

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  18. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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  19. The equation of the line tangent to the curve x isn y + x = pi at the ...

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  20. The x-intercept of the tangent at any arbitrary point of the curve a/(...

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