Home
Class 12
MATHS
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.

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6f|19 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6g|21 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6d|24 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

The abscissa of the point on the curve ay^(2)=x^(3), the normal at which cuts off equal intercepts from the coordinate axes is

NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6e
  1. Find the equation of normals of the following curves at the given poi...

    Text Solution

    |

  2. Find the equation of the normal to the curve y = 5x + x^2 which makes ...

    Text Solution

    |

  3. Find the equation of normal to the curve y(x-2)(x-3)-x+7=0 at that poi...

    Text Solution

    |

  4. Find the equation of normal to the curve x = at^(2), y=2at at point 't...

    Text Solution

    |

  5. Find the equation of the normal to the curve x = acostheta and y = b s...

    Text Solution

    |

  6. Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^...

    Text Solution

    |

  7. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y...

    Text Solution

    |

  8. (i) Find the co-ordinates of the points on the curve xy = 16 at which ...

    Text Solution

    |

  9. Find the equation of normal at point (4, 3) for the hyperbola 3x^(2) ...

    Text Solution

    |

  10. Find the equation of normal to the curves x=t^2, y=2t+1 at point

    Text Solution

    |

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

    Text Solution

    |

  12. If the normal at point 't' of the curve xy = c^(2)meets the curve ag...

    Text Solution

    |

  13. Find the area erea angle which made by the tangent to the curve y(2a-x...

    Text Solution

    |

  14. Find the co-ordinates of the point on the curve y=x^(3)+3x^(2)-4x-12 a...

    Text Solution

    |

  15. If the normal drawn on the curve y = x^(2) +4 at point (1, 5) makes an...

    Text Solution

    |

  16. Find the equation of normal of the curve 2y= 7x - 5x^(2) at those poin...

    Text Solution

    |