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

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 semimajor axis is (1) `8/3` (2) `2/3` (3) `4/3` (4) `5/3`

A

`5//3`

B

`8//3`

C

`2//3`

D

`4//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 2 Single Correct)|19 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 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 the semi-major axis is

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

If question of the ellipse whose focus is (1,-1), then directrix the line x-y-3=0 and eccentricity 1/2 is

IF the distance between a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2 , then length of the minor axis is

If the distance betweent a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2, then length of the minor axis is

the equation of the ellipse whose foucs is S(1,-1) directrix the line x-y-3=0 and eccentricity 1//2 , is

MCGROW HILL PUBLICATION-ELLIPSE-Previous Years AIEEE/JEE Main Papers
  1. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  2. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

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

    Text Solution

    |

  4. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  5. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  6. An ellipse is drawn by taking a diameter of the circle (x – 1)^2 + y^2...

    Text Solution

    |

  7. If a and c are positive real number and the ellipse x^2/(4c^2)+y^2/c^...

    Text Solution

    |

  8. Let the equations of two ellipses be E1=x^2/3+y^2/2=1 and x^2/16+y^2/...

    Text Solution

    |

  9. If the curves x^2/alpha+y^2/4=1 and y^2=16 x intersect at right angl...

    Text Solution

    |

  10. A point on the ellipse, 4x^2 +9y^2=36, where the normal is parallel to...

    Text Solution

    |

  11. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  12. If OB is the semi-minor axis of an ellipse, F1 and F2 are its foci and...

    Text Solution

    |

  13. The minimum area of the triangle formed by any tangent to the ellipse ...

    Text Solution

    |

  14. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  15. If the distance between the foci of an ellipse is half the length of i...

    Text Solution

    |

  16. If the tangent at a point on the ellipse x^2/27+y^2/3=1 meets the coor...

    Text Solution

    |

  17. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  18. Consider an ellipse, whose centre is at the origin and its major axis ...

    Text Solution

    |

  19. The eccentricity of an ellipse having centre at the origin, axes along...

    Text Solution

    |

  20. The eccentricity of an ellipse whose centre is at the origin is 1/2...

    Text Solution

    |