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The point on the curve 3y = 6x-5x^3 the...

The point on the curve `3y = 6x-5x^3` the normal at Which passes through the origin, is

A

`(1,1//3)`

B

`(-1,-1//3)`

C

`(2,-28//3)`

D

none of these

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

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

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  3. The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...

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  4. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

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  19. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

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  20. If the length of sub-normal is equal to the length of sub-tangent at ...

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