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The abscissa of the point on the curve 3...

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

A

1

B

`1/3`

C

2

D

`1/2`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The normal to the curve x^2 = 4y passing (1,2) is:

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  2. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

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  3. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

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  4. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  5. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  6. The equation of the normal to the curve y = sin x at (0,0) is

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  7. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

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  8. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

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  9. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

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  10. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  11. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

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  12. Find the slope of tangent to the curve y=2x^2-3 at x=1/4

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  13. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

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  14. The absolute maximum value of the function f(x) = x^2 - 3x on [0,2] is

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  15. The slope of the tangent to the curve given by: x=1-costheta, y=theta-...

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  16. Which of the following has neither local maxima nor local minima?

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  17. Edge of a cube is increasing at the rate of 2 cm/s. The rate of change...

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  18. Radius of a sphere is increasing at the rate of 2 cm/s The rate of cha...

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  19. In which of the following interval x^2 e^x is increasing ?

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  20. For what value of x, slope of the tangent to the curve y = x^3 + x + 1...

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