Home
Class 12
MATHS
The points on the curve 9y^2 = x^3 , whe...

The points on the curve `9y^2 = x^3` , where the normal to the curve makes equal intercepts with the axes are:

A

`(4, pm (8)/(3))`

B

`(4,(-8)/(3))`

C

`(4,pm(3)/(8))`

D

`(pm 4,(3)/(8))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.5|47 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y=x/(1+x^2) where the tangent to the curve has the greatest slope is

If the normal to the curve ay^(2)=x^(3)(a ne0) at a point on it makes equl intercepts with the coordinates axes, find the x-coordinates of the point.

At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve is increasing

At the point (2,3) on the curve y = x^(3) - 2x + 1 , the gradient of the curve increases

Find the points on the curve y = x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Slope of the normal to the curve y=cos2x "at" x=pi//6 is

The equation of the normal to the curve y^4=ax^3 at (a,a) is

The equation of the normal to the curve y=be^(-x//a) where it cuts y-axis is

The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpendicular to y-axis is

A point on the ellipse 4x^(2) +9y^(2) = 36 where the normal is parallel to the line 4x- 2y -5=0 is

NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. The two equal sides of an isoceles triangle with fixed base b are decr...

    Text Solution

    |

  2. The equation of the normal to the curve x^(2)=4y at (1,2) is

    Text Solution

    |

  3. Show that the normal at any point theta to the curve x = a cos theta +...

    Text Solution

    |

  4. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  5. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  6. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  7. A tank with rectangular base and rectangular side, open at the top is ...

    Text Solution

    |

  8. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  9. A window is in the form of a rectangle surmounted by a semi-circular o...

    Text Solution

    |

  10. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  11. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  12. Let f be a function defined on [a, b] such that f'(x)>0 for all x in ...

    Text Solution

    |

  13. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  14. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  15. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  16. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  17. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

    Text Solution

    |

  18. The normal at the point (1,1) on the curve 2y + x^(2) = 3 is

    Text Solution

    |

  19. The equation of the normal to the curve x^(2)=4y at (1,2) is

    Text Solution

    |

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

    Text Solution

    |