Home
Class 12
MATHS
The distance between the foci is 4sqrt(1...

The distance between the foci is `4sqrt(13)` and the length of conjugate axis is 8 then, the eccentricity of the hyperbola is

A

`sqrt(13)//3`

B

`sqrt(13)//5`

C

`sqrt(13)//7`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Additional Exercise|29 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

If the ecentricity of a hyperbola is sqrt3 then the ecentricity of its conjugate hyperbola is

In an ellipse the distance between the foci is 6 and it's minor axis is 8. Then its eccentricity is

If the eccentricities of a hyperbola is sqrt3 ,then the eccentricity of its conjugates hyperbola is

If the eccentricity of a hyperbola is (5)/(3) , then the eccentricity of its conjugate hyperbola is

If sec theta is the eccentricity of a hyper bola then the eccentricity of the conjugate hyperbola is

The distance between the focii is equal to the minor axis of an ellipse then its eccentricity is

The distance between the foci of an ellipse is equal to half of its minor axis then eccentricity is

In an ellipse the distance between the foci is 8 and the distance between directrices is 25. then find the length of the major axis.

AAKASH SERIES-HYPERBOLA-Exercise -I
  1. If e(1) and e(2) are eccentricities of the hyperbolas xy=c^(2) and x^2...

    Text Solution

    |

  2. The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a h...

    Text Solution

    |

  3. The distance between the foci is 4sqrt(13) and the length of conjugate...

    Text Solution

    |

  4. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

    Text Solution

    |

  5. If the latus rectum through one focum subtends a right angle at the fa...

    Text Solution

    |

  6. If the lactus recturm of a hyperbola through one focus subtends 60^@ a...

    Text Solution

    |

  7. If the latus rectum of a hyperola forms an equilateral triangle with t...

    Text Solution

    |

  8. The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

    Text Solution

    |

  9. Equations of tangents to the hyperbola 4x^(2)-3y^(2)=24 which makes an...

    Text Solution

    |

  10. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

    Text Solution

    |

  11. The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 i...

    Text Solution

    |

  12. The nummber of tangents to x^(2)//9-y^(2)//4=1 throught (6,2) is

    Text Solution

    |

  13. For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a...

    Text Solution

    |

  14. The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(...

    Text Solution

    |

  15. Product of perpendiculars from the foci of x^(2)/4-y^(2)/9=1" to "y=mx...

    Text Solution

    |

  16. If m1, m2, are slopes of the tangens to the hyperbola x^(2)//25-y^(2)/...

    Text Solution

    |

  17. Number of points from where perpendicular tangents can be drawn to the...

    Text Solution

    |

  18. The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

    Text Solution

    |

  19. Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(...

    Text Solution

    |

  20. Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at t...

    Text Solution

    |