Home
Class 12
MATHS
An ellipse with the eccentricity e = 1/2...

An ellipse with the eccentricity e = 1/2 has a focus at (0, 0) and the corresponding directix is x+6=0. The equation of the ellipse is

A

`3x^(2)+4y^(2)+12x-36=0`

B

`3x^(2)+4y^(2)-12x+36=0`

C

`3x^(2)+4y^(2)-12x-36=0`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

Focus (4, 0), e = 1/2 , directrix is x -16 = 0. Then equation of the ellipse is

A conic has latus rectum length 1, focus at (2,3) and the corresponding directrix is x+y -3=0 . Then the conic is

Foci are (0, pm 3), e = 3/4 , equation of the ellipse is

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 the ellipse is

Focus (3, 0), e = 3/5 , d irectrix 3x-25= 0, equation of the ellipse is

The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are (1, -2 ) and 3x + 4y - 15 = 0 then the eccentricity of the ellipse is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. An ellipse with the eccentricity e = 1/2 has a focus at (0, 0) and the...

    Text Solution

    |

  2. The equation of the ellipse whose focus is at (4,0) and whose eccentri...

    Text Solution

    |

  3. The equation of the ellipse whose focus is (3, -2), eccentricity 3/4 a...

    Text Solution

    |

  4. The equation of ellipse whose focus is (0, sqrt(a^(2) -b^(2) ) ) , ...

    Text Solution

    |

  5. The equation of the ellipse whose foci are (pm3,0) and eccentricity 3/...

    Text Solution

    |

  6. The equation of the ellipse whose vertices are (2, 5), (2, -1) and ecc...

    Text Solution

    |

  7. The equation of the ellipse whose centre is (5, 2) vertex is (9, 2), t...

    Text Solution

    |

  8. The equation of the ellipse with it's major axis is x-axis, minor axis...

    Text Solution

    |

  9. The equation of the ellipse with its axes as the coordinate axes respe...

    Text Solution

    |

  10. The equation of the ellipse with its axes as the coordinate axes respe...

    Text Solution

    |

  11. The equation of the ellipse with it's axes as the corrdinate axes resp...

    Text Solution

    |

  12. The equation of the ellipse with its axes as the coordinate axes and ...

    Text Solution

    |

  13. The equation of the ellipse refered to its axes as coordinate axes, wh...

    Text Solution

    |

  14. The equation of the ellipse with its major axis is parallel to x-axis,...

    Text Solution

    |

  15. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

    Text Solution

    |

  16. The eccentricity of an ellipse, with its centre at the origin, is 1/2....

    Text Solution

    |

  17. The equation of the ellipse whose vertices are (-4, 1), (6, 1) and one...

    Text Solution

    |

  18. The equation of the ellipse whose focus is (2, 4), centre is (3, 4) an...

    Text Solution

    |

  19. The equation of the ellipse with its focus at (6, 2), centre at (1, 2)...

    Text Solution

    |

  20. The centre is (2, -3), focus (3, -3) and the vertex is at (4, -3). The...

    Text Solution

    |