Home
Class 12
MATHS
Given the equation of the ellipse (x-3)^...

Given the equation of the ellipse `(x-3)^2/(16)+(y-4)^2/(49)=1` a parabola is such that its vertex is a lowest point of the ellipse and it passes through the ends of the minor axis of the ellipse. The equation of the parabola is in the form `16y = A(x-H)^2-K.` Determine the value of `A/7+H/3+K/16` is equal to

Text Solution

Verified by Experts

The correct Answer is:
186
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 2 (Level-II) Multiple Correct | JEE Advanced|5 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

Similar Questions

Explore conceptually related problems

The vertex of ellipse (x^(2))/(16)+(y^(2))/(25)=1 are :

The equation of the directrices of the ellipse ((x-2))/(25)+((y-3)^(2))/(16)=1 are

The equation of the parabola whose vertex is at the centre of the ellipse x^2/25+y^2/16 = 1 and the focus coincide with the focus of the ellipse on the positive side of the major axis of the ellipse is

find the equation the directrix of given ellipse x^(2) + 16y^(2) = 16

Equation of a tangent to the ellipse x^2/36+y^2/25=1 , passing through the point where a directrix of the ellipse meets the + ve x-axis is

The equation of the ellipse is (x-1) ^(2) + (y -1) ^(2) = 1/9 ((3x + 4y -5)/(5)) ^(2), then the length of minor axis of this ellipse is

MOTION-ELLIPSE -Exercise - 3 | Subjective | JEE Advanced
  1. If any two chords be drawn through two points on the major axis of an ...

    Text Solution

    |

  2. The tangent at any point P of a circle x^2 + y^2 = a^2 meets the tange...

    Text Solution

    |

  3. An ellipse has foci at F1(9, 20) and F2(49, 55) in the xy-plane and is...

    Text Solution

    |

  4. The tangent at the point alpha on a standard ellipse meets the auxilia...

    Text Solution

    |

  5. Find the equations of the lines with equal intercepts on the axes & wh...

    Text Solution

    |

  6. If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1...

    Text Solution

    |

  7. Let d be the perpendicular distance from the centre of the ellipse x^2...

    Text Solution

    |

  8. The tangent at a point P on an ellipse intersects the major axis at T ...

    Text Solution

    |

  9. If the tangent at any point of an ellipse x^2/a^2 + y^2/b^2 =1 makes a...

    Text Solution

    |

  10. Common tangents are drawn to the parabola y^2 = 4x & the ellipse 3x^2 ...

    Text Solution

    |

  11. P & Q are the corresponding points on a standard ellipse & its auxilia...

    Text Solution

    |

  12. A tangent to the ellipse x^2/a^2 +y^2/b^2 =1 touches at the point P on...

    Text Solution

    |

  13. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

    Text Solution

    |

  14. PG is the normal to a standard ellipse at P, G being on the major axis...

    Text Solution

    |

  15. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  16. ABC is an isosceles triangle with its base BC twice its altitude. A po...

    Text Solution

    |

  17. A circle intersects an ellipse x^2/a^2+y^2/b^2=1 precisely at three po...

    Text Solution

    |

  18. Given the equation of the ellipse (x-3)^2/(16)+(y-4)^2/(49)=1 a parabo...

    Text Solution

    |

  19. Consider the parabola y^2 =4x and the ellipse 2x^2 + y^2 =6, intersect...

    Text Solution

    |

  20. Consider an ellipse x^2/25+y^2/9=1 with centre c and a point P on it ...

    Text Solution

    |