Home
Class 12
MATHS
The length of the latus rectum of an ell...

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin to length of minor axis. Find the length of the major axis and minor axis.

Text Solution

Verified by Experts

Length of major axis and minor axis are 60 units and `12sqrt(5)` units repectively.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If the length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 20 units, distance between foci is equal to length of minor axis, then find the equation of the ellipse.

If the length of the latus rectum of an ellipse with major axis along y-axis and centre at origin is 6 units, distance between foci is equal to length of minor axis, then the equation of the ellipse.

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is (1)/(5) , distance between foci = length of minor axis, then the equation of the ellipse is

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

If the Latusrectum of an ellipse with axis along x- axis and centre at origin is 10 distance between foci=length of minor axis then the equation of the ellipse is

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

The latus rectum of an ellipse is half of its minor axis. Its eccentricity is :

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

AAKASH INSTITUTE-CONIC SECTIONS-Try ypurself
  1. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  2. Find the area of the triangle formed by the lines joining the focus of...

    Text Solution

    |

  3. The given equation of the ellipse is (x^(2))/(81) + (y^(2))/(16) =1. F...

    Text Solution

    |

  4. Find the co-ordinates of the foci, the vertices, the lengths of major ...

    Text Solution

    |

  5. Find the equation of the ellipse whose vetices are (pm6, 0) and foci a...

    Text Solution

    |

  6. Find the equation of ellipse whose vertices are (0,pm13) and foci (0,p...

    Text Solution

    |

  7. Find the equation of th ellipse, the co-ordinates of whose foci are (p...

    Text Solution

    |

  8. Find the equation of an ellipse whose eccentricity is (3)/(5) and co-...

    Text Solution

    |

  9. If the length of the latus rectum of an ellipse with major axis along ...

    Text Solution

    |

  10. The length of the latus rectum of an ellipse with major axis along x-a...

    Text Solution

    |

  11. The eccentricity of the ellipse is (2)/(5) and the distance between th...

    Text Solution

    |

  12. Find the length of the latus rectum of the ellipse if the eccentricity...

    Text Solution

    |

  13. Find the co-ordinates of the foci and the vertices, the eccentricity a...

    Text Solution

    |

  14. For the hyperbola, 3y^(2) - x^(2) = 3. Find the co-ordinates of the fo...

    Text Solution

    |

  15. If the co-ordinates of the foci and vertices of the hyperbola are (pm1...

    Text Solution

    |

  16. Find the equation of the hyperbola with foci : (0, pm sqrt(13)) and ve...

    Text Solution

    |

  17. Find the equation of the hyperbola with foci at (pm7, 0) and length of...

    Text Solution

    |

  18. Find the equation of the hyperbola, the length of whose focal chord, p...

    Text Solution

    |

  19. Find the eccentricity of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2...

    Text Solution

    |

  20. The hyperbola (y^(2))/(a^(2))-(x^(2))/(b^(2)) =1 passes through the po...

    Text Solution

    |