Home
Class 11
MATHS
Find equation of ellipse whose l(latus-r...

Find equation of ellipse whose l(latus-rectum) = ` (5)/(2)` and eccentricity ` y = (1)/(2)`

A

`12x^(2) + 9y^(2) = 25 `

B

`9x^(2) + 12y^(2) = 25 `

C

`(x^(2))/(9) + (y^(2))/(12) = 25 `

D

`(25x^(2))/(9) + (25y^(2))/(12) = 1`

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

Equation of ellipse having letus rectum 8 and eccentricity (1)/(sqrt(2)) is

Find the equation of the ellipse whose major axis is 8 and eccentricity (1)/(2) .

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

Find the equation of the hyperbola , the length of whose latus rectum is 4 and the eccentricity is 3.

Find the equation of the ellipse whose is (5,6), equation of directrix x+y+2=0 and eccentricity is (1)/(2) .

Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

Find the equation of the ellipse in the following case: eccentricity e=(2)/(3) and length of latus rectum =5 .

Find the length of the latus rectum of the ellipse if the eccentricity is (1)/(2) and the distance between the foci and the centre of the ellipseis 4.

If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

Find the equation of the ellipse whose eccentricity is 1/2, the focus is (1,1) and the directrix is x-y+3=0

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Find the equation of the ellipse which passes through the points (3,1)...

    Text Solution

    |

  2. Find the equation to the ellipse (referred to its axes as the axes of ...

    Text Solution

    |

  3. Find equation of ellipse whose l(latus-rectum) = (5)/(2) and eccentri...

    Text Solution

    |

  4. Minor axis = 6 and one vertex at (5,0) .

    Text Solution

    |

  5. Major axis = 3 (minor axis) and l (latus-rectum ) = 2

    Text Solution

    |

  6. Foci are (pm 3,0) " and vertices " (pm 5,0)

    Text Solution

    |

  7. Find equation of ellipse whose vertices are (pm 3,0) and passes thro...

    Text Solution

    |

  8. Distance between foci is 6 and eccentricity is 3/5

    Text Solution

    |

  9. Distance between directrices is 10 and eccentricity (1)/(sqrt(5)) .

    Text Solution

    |

  10. Distance between foci is 4 and distance between directrices is 5

    Text Solution

    |

  11. Distance between foci is 8 and major axis is 10.

    Text Solution

    |

  12. Distance between directrices = (25)/(2) , minor axis = 6

    Text Solution

    |

  13. Distance between foci = 2 and vertices are (pm 2,0)

    Text Solution

    |

  14. Distance between a focus and the corresponding directrix of an ellipse...

    Text Solution

    |

  15. An ellipse , with principal axes along co-ordinate axes has eccentrici...

    Text Solution

    |

  16. If two ellipse E ( a gt b ) "and " E ( alpha gt beta ) have the same...

    Text Solution

    |

  17. If latus-rectum is one-third minor axis, then eccentricity of the elli...

    Text Solution

    |

  18. If latus-rectum = ((1)/(2)) major axis, then e =

    Text Solution

    |

  19. If latus-rectum = semi-minor axis, then e=

    Text Solution

    |

  20. If (distance between directrices ) = 3 (distance between foci) , then ...

    Text Solution

    |