Home
Class 11
MATHS
e = 3/2 and distance between directrices...

` e = 3/2` and distance between directrices ` = 8/3`

A

`4x^(2) - 5y^(2) = 1`

B

`(x^(2))/(4) - (y^(2))/(5) = 1`

C

`(x^(2))/(5) - (y^(2))/(4) = 1 `

D

`4x^(2) - 5y^(2) = 20`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola in standard form , if : eccentricity = 3/2 and distance between directrices = 8/3

Distance between foci is 4 and distance between directrices is 5

Distance between foci is 8 and distance between directrices is 6 of hyperbola, then length of latusrectum is

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

In a hyperbola e=(9)/4 and the distance between the directrices is 3. Then the length of transverse axis is

If distance between foci = 3 (distance between directrices) . Then e =

If major and minor axis of an ellipse is 8 and 4 then distance between directrices of the ellipse is-

Find the equation of an ellipse the distance between the foci is 8 units and the distance between the directrices is 18 units.

If the distance between the foci and the distance between the directrices of the hyperbola x^(2)/(a_2 )-y^(2)/b_2 =1 are in the ratio 3:2

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. One focus at (3,0) and eccentricity = 6/5

    Text Solution

    |

  2. Find the equation of hyperbola whose conjugate axis = latus-rectum = 8...

    Text Solution

    |

  3. e = 3/2 and distance between directrices = 8/3

    Text Solution

    |

  4. Equation of the hyperbola in standard form which passes through the po...

    Text Solution

    |

  5. Find the equation of hyperbola whose eccentricity = sqrt(2) and passi...

    Text Solution

    |

  6. Eccentricity and latus-rectum of x^(2) - 3y^(2) = 36 are

    Text Solution

    |

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

    Text Solution

    |

  8. If transverse axis = 2 (latus-rectum ), then e =

    Text Solution

    |

  9. If conjugate axis = 2 (latus-rectum ), then e =

    Text Solution

    |

  10. If distance between foci = 3 (distance between directrices) . Then e =

    Text Solution

    |

  11. Focus of the parabola y^(2) = 8x is a vertex of a hyperbola whose con...

    Text Solution

    |

  12. Co-ordinates of point P ((pi)/(4)) on the hyperbola 25x^(2) - 9y^(2)...

    Text Solution

    |

  13. Focal distances of a point P : x = 13 on 13 on 81x^(2) - 144 y^(2) ...

    Text Solution

    |

  14. If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b...

    Text Solution

    |

  15. The length intercepted by the hyperbola x^(2) - 4y^(2) = 1 on the lin...

    Text Solution

    |

  16. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  17. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  18. If the equation 4x^(2) + ky^(2) = 18 respresents a hyperbola whose ec...

    Text Solution

    |

  19. The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1...

    Text Solution

    |

  20. If e(1) , e(2) " and " e(3) the eccentricities of a parabola , and e...

    Text Solution

    |