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Find the point on the curve 9y^2=x^3, wh...

Find the point on the curve `9y^2=x^3,` where the normal to the curve makes equal intercepts on the axes.

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The correct Answer is:
`(4, pm (8)/(3))`
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Find the points on the curve 9y^(2)=x^(3) where normal to the curve makes equal intercepts with the axes.

The points on the curve 9y^2=x^3 , where the normal to the curve makes equal intercepts with the axes are (A) (4,+-8/3) (B) (4,(-8)/3) (C) (4,+-3/8) (D) (+-4,3/8)

The point on the curve 9y^2=x^3 , where the normal to the curve makes equal intercepts with the axes is (4,\ +-8//3) (b) (-4,\ 8//3) (c) (-4,\ -8//3) (d) (8//3,\ 4)

If (a,b) be the point on the curve 9y ^(2)=x ^(3) where normal to the curve make equal intercepts with the axis, then the value of (a+b) is:

(i) Find the point on the curve 9y^(2)=x^(3) where normal to the curve has non zero x -intercept and both the x intercept and y- intercept are equal. (ii) If the tangent at (1,1) on y^(2)=x(2-x)^(2) meets the curve again at P, then find coordinates of P (iii) The normal to the curve 5x^(5) -10x^(3) +x+2y+6=0 at the point P(0,-3) is tangent to the curve at some other point (s). Find those point(s)?

The point on the curve y^(2) = 4ax at which the normal makes equal intercepts on the coordinate axes is

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CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. Find the equation of the normal to the curve ay^(2)=x^(3) at the point...

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  2. Find the equation of the normal at a point on the curve x^(2)=4y, whic...

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  3. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

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  4. Show that the tangents to the curve y=2x^3-3 at the points where x=...

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  5. Using differentials, find the approximate value of (66)^(1//3)

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  6. sqrt(401)

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  7. Using differentials, find the approximate value of sqrt(0.037).

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  8. sqrt(25.3)

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  9. Using differentials, find the approximate value of (3. 968)^(3/2)

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  10. (26.57)^(1//3)

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  11. Find the value of log(10)(10.1) given that log(10) e=0.4343.

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  12. If the radius of a circle increases from 5 cm to 5.1 cm, find the incr...

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  13. If the side of a cube be increased by 0.1% find the corresponding incr...

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  14. Find the approximate value of f(2.01) where f(x) =x^(3)-4x+7.

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  15. Find approximate value of 1/(sqrt(25. 1)) using differentials.

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  16. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

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  17. Find the maximum and minimum value of f(x)=sinx+1/2cos2xin[0,pi/2]dot

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  18. Find the absolute maximum value and absolute minimum value of the foll...

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  19. Find the maximum and minimum values of f(x)=x^(50)-x^(20) in the inter...

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  20. Find the absolute maximum and absolute minimum value of f(x) =(x-2) sq...

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