Home
Class 12
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 the ellipse is

A

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

B

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

C

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

D

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

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

An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 as its semiminor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

The eccentricity of the ellipse 5x^(2)+9y^(2)=1 is

The eccentricity of the ellipse 9x^(2)+4y^(2)=36 is

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

The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The equation of the ellipse with its major axis is parallel to x-axis,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The ellipse x^(2)+4y^(2)=4 is inscribed in a rectangle aligned with th...

    Text Solution

    |

  9. The equation of the ellipse whose vertices are (4, 1), (6, 1) whose fo...

    Text Solution

    |

  10. Equation of the ellipse whose axes are the axes of coordinates and whi...

    Text Solution

    |

  11. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

    Text Solution

    |

  12. The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

    Text Solution

    |

  13. The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

    Text Solution

    |

  14. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

    Text Solution

    |

  15. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

    Text Solution

    |

  16. The foci of the ellipse (x-1)^(2)/5+(y-5)^(2)/9=1 is

    Text Solution

    |

  17. The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

    Text Solution

    |

  18. The length of the major axis of the ellipse (x-3)^(2)/4+(y-2)^(2)/9=1 ...

    Text Solution

    |

  19. The length of the major axis of 3x^(2)+4y^(2)+6x-8y-5=0 is

    Text Solution

    |

  20. The length of the minor axis of 9x^(2)+25y^(2)-18x-100y-116=0 is

    Text Solution

    |