Home
Class 12
MATHS
The length of the transverse axis and t...

The length of the transverse axis and the conjugate axis of a hyperbola is 2a units and 2b units repectively. If the length of the latus rectum is 4 units of the conjugate axis is equal to one-third of the distance between the foci, then the eccentricity of the hyperbola is

A

`(6)/(b)`

B

6b

C

`(5)/(b)`

D

`(b)/(6)`

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 a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is

The eccentricity of the hyperbola whose latuscrectum is 8 and conjugate axis is equal to half the distance between the foci, is

For hyperbola, If transverse axis = conjugate axis , then e =

The eccentricity of an ellipse, the length of whose minor axis is equal to the distance between the foci, is

The length of the hyperbola of the conjugate axis of 2x^(2) - 3y^(2) =6 is

If length of the transverse axis of a hyperbola is 8 and its eccentricity is sqrt(5)//2 then the length of a latus rectum of the hyperbola is

The equation of hyperbola whose coordinates of the foci are (pm8,0) and the length of the latus rectum is 24 units. Is

If the distance between foci of a hyperbola is twice the distance between its directrices, then the eccentricity of conjugate hyperbola 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

    |