Home
Class 11
MATHS
The eccentricity of an ellipse with its ...

The eccentricity of an ellipse with its centre at the origin is `(1)/(2) ` . If one of the directrices is x = 4 , then the equation of ellipse is

A

`3x^(2) + 4y^(2) = 1`

B

`3x^(2) + 4y^(2) = 12 `

C

`4x^(2) + 3y^(2) = 1`

D

`4x^(2) + 3y^(2) = 12`

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

The eccentricity of an ellipse whose centre is at the origin is (1)/(2) .If one of its directrices is x=-4, then the equation of the normal to it at (1,3) is :

The eccentricity of an ellipse whose centre is at the origin is (1)/(2) .if one of its directrices is x=-4, then the equation of the normal to it at (1,(3)/(2)) is: 4x+2y=7(2)x+2y=4(3)2y-x=2(4)4x-2y=1

The eccentricity of an ellipse, with centre at the origin is 2/3. If one of directrices is x = 6, then equation of the ellipse is

The eccentricity of an ellipse with centre at the orgin and axes along the coordinate axes , is 1/2 if one of the directrices is x=4, the equation of the ellipse is

The differential equation of all ellipses centred at the origin is

Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x = 36 . Then its equation is

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

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Ellipse x^(2) + 4y^(2) = 4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  2. Equation (x^(2))/(r-2) + (y^(2))/(5-r) = 1 represents an ellipse if

    Text Solution

    |

  3. The eccentricity of an ellipse with its centre at the origin is (1)/(2...

    Text Solution

    |

  4. The distanve between the foci of an ellipse is 16 and eccentricity is ...

    Text Solution

    |

  5. If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=...

    Text Solution

    |

  6. In the ellipse 9x^(2) + 5y^(2) = 45 , distance between the foci is

    Text Solution

    |

  7. If the distance foci of an ellipse is 8 and distance between its dire...

    Text Solution

    |

  8. Find the equation of the hyperbola whole transverse and conjugate axes...

    Text Solution

    |

  9. Find the equation of hyperbola where, conjugate axis is 3 along Y-axis...

    Text Solution

    |

  10. The length of the transverse axis of a hyperbola is 7 and it passes th...

    Text Solution

    |

  11. One focus at (4,0) corresponding directrix x = 1 .

    Text Solution

    |

  12. Distance between foci = 10 and eccentricity = 3/2

    Text Solution

    |

  13. Conjugate axis = 10 and eccentricity = 6/5

    Text Solution

    |

  14. One focus at (3,0) and eccentricity = 6/5

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |