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

`5/3`

B

`8/3`

C

`2/3`

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Since, a/e-ae=4 and e =1/2 `
`therefore 2a-a/2=4rArr a=8/3`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 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 semimajor axis is (1) 8/3 (2) 2/3 (3) 4/3 (4) 5/3

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

Let the distance between a focus and the corresponding directrix of an ellipse be 8 and the eccentricity be (1)/(2). If the length of the minor axis is k, then (sqrt(3)k)/(2) is

The Latusrectum of an ellipse is 10 and the eccentricity is (2)/(3) then length of major axis

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

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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-CIRCLE AND CONICS-All Questions
  1. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

    Text Solution

    |

  2. The nearest point on the circle x^2 +y^2-6x + 4y-12=0 from (-5,4) is

    Text Solution

    |

  3. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  4. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  5. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  6. The directrix of the parabola y^(2)+4x+3=0is

    Text Solution

    |

  7. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  8. The focal distance of a point on the parabola y^2= 16x whose ordinat...

    Text Solution

    |

  9. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  10. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  11. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

    Text Solution

    |

  12. If (-1,-2sqrt2)is one of exteremity of a focal chord of the parabola ...

    Text Solution

    |

  13. The latus rectum of a parabola whose focal chord is PSQ such that SP =...

    Text Solution

    |

  14. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  15. Distance between foci is 8 and distance between directrices is 6 of hy...

    Text Solution

    |

  16. The eccenttricity of the hyperbola x^(2)/16-y^(2)/25=1is

    Text Solution

    |

  17. The eccentricity of the ellipse

    Text Solution

    |

  18. Find the locus of a point whiich moves in such a way that the sum of i...

    Text Solution

    |

  19. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  20. An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high ...

    Text Solution

    |