Home
Class 12
MATHS
A focus of an ellipse is at the origin. ...

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is `1/2`. Then the length of the semi - major axis is

A

`2/3`

B

`4/3`

C

`5/3`

D

`8/3`

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

A focus of an ellipse is at the origin the directrix is the line x=4 and the eccentricity is 1/2 . Then the length of semi major axis is

The major axis of an ellipse is three times the minor axis, then the eccentricity is

The equation of the ellipse with its major axis is parallel to x-axis, centre is (1, -1), eccentricity is 5/6 and the length of major axis is 12 is

A parabola has the origin as its focus and the line x=2 as the directrix . Then the vertex of the parabola is at

Equation of the hyperbola with one focus at the origin and directrix x+3=0 and eccentricity sqrt3 is

The focus and the correspondin directrix of a hyperbola are (1-3) and y=2 and eccentricity is 3/2. Find the equation of the hyperbola.

The equation of the ellipse with it's major axis is x-axis, minor axis is y-axis, eccentricity is 2/3 and the length of major axis is 12 is

The major axis of an ellipse is y =x and one vertex is at origin , the other axis of the ellipse , if the length of semi-major axis be 10, can be

(2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse with eccentricity 1/2 . The length of major axis is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The length of the minor axis of 9x^(2)+25y^(2)-18x-100y-116=0 is

    Text Solution

    |

  2. In an ellipse, minor axis = 8 and eccentricity = sqrt(5)//3 then major...

    Text Solution

    |

  3. A focus of an ellipse is at the origin. The directrix is the line x = ...

    Text Solution

    |

  4. The length of the latus rectum of the ellipse (x-1)^(2)/4+(y+2)^(2)/25...

    Text Solution

    |

  5. The length of the latus rectum of the ellipse 9x^(2)+25y^(2)-18x-100y-...

    Text Solution

    |

  6. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

    Text Solution

    |

  7. The distance between the focii of the ellipse x=3costheta, y=4sintheta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The eccentricity of the conic 36x^(2)+144y^(2)-36x-96y-119=0 is

    Text Solution

    |

  12. The eccentricity of the ellipse 9x^(2)+5y^(2)-30y=0 is

    Text Solution

    |

  13. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

    Text Solution

    |

  14. The eccentricity of the ellipse whose latus rectum is equal to half of...

    Text Solution

    |

  15. If the length of the major axis of an ellipse is three times the leng...

    Text Solution

    |

  16. The eccentricity of the ellipse whose major axis is double the minor a...

    Text Solution

    |

  17. The latus rectum of an ellipse is 1/3 of the major axis. It's eccentri...

    Text Solution

    |

  18. The major axis of an ellipse is three times the minor axis, then the e...

    Text Solution

    |

  19. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |

  20. S and T are the foci of an ellipse and B is one end of the minor axis....

    Text Solution

    |