Home
Class 11
MATHS
The latus rectum of an ellipse is 10 and...

The latus rectum of an ellipse is 10 and the minor axis Is equal to the distnace betweent the foci. The equation of the ellipse is

A

`x^(2) + 2y^(2) = 100`

B

`x^(2) + y^(2) sqrt(2) = 100`

C

`x^(2) = 2y^(2) = 100`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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, the length of whose minor axis is equal to the distance between the foci, is

The latus rectum of an ellipse is half of its minor axis. Its eccentricity is :

If the length of the minor axis of an ellipse is equal to half of the distance between the foci then the eccentricity of the ellipse is

Find the equation of the ellipse whose minor aixs is equal to the distance between the foci and length of latus rectum is 10.

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

Find the equation of the ellipse whose minor axis is equal to distance between the foci and latus rectum is 10.

If the latus rectum of an ellipse is equal to the half of minor axis,then find its eccentricity.

If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If the foci and vetrices of an ellipse be (pm 1,0) and (pm 2,0), then ...

    Text Solution

    |

  2. The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 40...

    Text Solution

    |

  3. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

    Text Solution

    |

  4. Filnd the distance between the directrices the ellipse (x^2)/(36)+(...

    Text Solution

    |

  5. The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

    Text Solution

    |

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

    Text Solution

    |

  7. If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectu...

    Text Solution

    |

  8. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

    Text Solution

    |

  9. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  10. If one vertex of an ellipse is (0,7) and the corresponding directrix i...

    Text Solution

    |

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

    Text Solution

    |

  12. Ellipse x^(2) + 4y^(2) = 4 is inscribed in a rectangle aligned with...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |