Home
Class 12
MATHS
If the latus rectum of an ellipse is equ...

If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?

A

`(sqrt(3))/(2)`

B

`sqrt(3)`

C

2

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

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

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Try ypurself|42 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 latursrectum of an ellipse is equal to half of its minor-axis, then find its eccentricity.

If the latus rectum of an ellipse is equal to the half of minor axis,then find its eccentricity.

If the latusrectum of an ellipse is equal to one half of its minor axis , then eccentricity is equal to

If the latusrectum of an ellipse is equal to half of minor axis,find its eccentricity.

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

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

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

AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. If the major axis of an ellipse is alongthe y-axis and it passes throu...

    Text Solution

    |

  2. If the latus rectum of an ellipse with major axis along y-axis and cen...

    Text Solution

    |

  3. The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

    Text Solution

    |

  4. If the length of the eccentricity of an ellipse is (3)/(8) and the d...

    Text Solution

    |

  5. If the latus rectum of an ellipse is equal to half of the minor axis, ...

    Text Solution

    |

  6. The equation of the set of all point the sum of whose distances from t...

    Text Solution

    |

  7. The equation of the ellipse, the co-ordinates of whose foci a re (pmsq...

    Text Solution

    |

  8. A point P is moving in a plane such that the difference of its distan...

    Text Solution

    |

  9. In the given figure, the value of QF(2)-QF(1) is

    Text Solution

    |

  10. The co-ordinates of the vertices of x^(2) - y^(2) = 1 are

    Text Solution

    |

  11. The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20...

    Text Solution

    |

  12. The length of the latus rectum of 3x^(2) - 2y^(2) =6 is

    Text Solution

    |

  13. The length of the hyperbola of the conjugate axis of 2x^(2) - 3y^(2) =...

    Text Solution

    |

  14. The eccentricity of the hyperbola y^(2) - 25x^(2) = 25 is

    Text Solution

    |

  15. The co-ordinates of the foci of 16y^(2) -x^(2) =16 are

    Text Solution

    |

  16. The equation of the hyperbola with foci (0, pm 5) and vertices (0, pm3...

    Text Solution

    |

  17. The equation of the hyperbola whose foci are (pm5,0) and length of th...

    Text Solution

    |

  18. The equation of the hyperbola with verticles (0, pm7) and eccentricity...

    Text Solution

    |

  19. The length of the transverse axis and the conjugate axis of a hyperbo...

    Text Solution

    |

  20. If the distance between the foci of a hyperbola with x-axis as the maj...

    Text Solution

    |