Home
Class 12
MATHS
The equation of the ellipse, the co-ordi...

The equation of the ellipse, the co-ordinates of whose foci a re `(pmsqrt(3), 0)` and length of the semi-major axis as 2 is

A

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

B

`4x^(2) + y^(2) + 4`

C

`4x^(2) + y^(2) =16`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Try ypurself|42 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of th ellipse, the co-ordinates of whose foci are (pm 3, 0) and eccentricity is (1)/(2) .

Find the equation of the ellipse, the co-ordinates of whose foci are (0, pm4) and eccentricity (4)/(5)

Find the equation of the ellipse whose major axis is 8 and co-ordinates of foci are (pm2,0)

Find the equation of the ellipse whose foci are the points (1, 2) and (-3,2), and the length of the minor axis is 4sqrt3 .

Find the equation of the ellipse whose major axis is 12 and foci are (pm4,0) .

The equation to the ellipse whose foci are (pm2,0) and eccentricity 1/2 is

If (0, 3+sqrt5) is a point on the ellipse whose foci and (2, 3) and (-2, 3) , then the length of the semi - major axis is

Find the equation of the ellipse whose centre is (-2,3) and whose semi axis are 3 and 2 when major axis is i.parallel to x-axis il.parallel to y-axis.

The equation of the ellipse whose foci are (0,+-2) and eccentricity 2/3 is

AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. If the major axis of an ellipse is alongthe y-axis and it passes throu...

    Text Solution

    |

  2. If the latus rectum of an ellipse with major axis along y-axis and cen...

    Text Solution

    |

  3. The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

    Text Solution

    |

  4. If the length of the eccentricity of an ellipse is (3)/(8) and the d...

    Text Solution

    |

  5. If the latus rectum of an ellipse is equal to half of the minor axis, ...

    Text Solution

    |

  6. The equation of the set of all point the sum of whose distances from t...

    Text Solution

    |

  7. The equation of the ellipse, the co-ordinates of whose foci a re (pmsq...

    Text Solution

    |

  8. A point P is moving in a plane such that the difference of its distan...

    Text Solution

    |

  9. In the given figure, the value of QF(2)-QF(1) is

    Text Solution

    |

  10. The co-ordinates of the vertices of x^(2) - y^(2) = 1 are

    Text Solution

    |

  11. The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20...

    Text Solution

    |

  12. The length of the latus rectum of 3x^(2) - 2y^(2) =6 is

    Text Solution

    |

  13. The length of the hyperbola of the conjugate axis of 2x^(2) - 3y^(2) =...

    Text Solution

    |

  14. The eccentricity of the hyperbola y^(2) - 25x^(2) = 25 is

    Text Solution

    |

  15. The co-ordinates of the foci of 16y^(2) -x^(2) =16 are

    Text Solution

    |

  16. The equation of the hyperbola with foci (0, pm 5) and vertices (0, pm3...

    Text Solution

    |

  17. The equation of the hyperbola whose foci are (pm5,0) and length of th...

    Text Solution

    |

  18. The equation of the hyperbola with verticles (0, pm7) and eccentricity...

    Text Solution

    |

  19. The length of the transverse axis and the conjugate axis of a hyperbo...

    Text Solution

    |

  20. If the distance between the foci of a hyperbola with x-axis as the maj...

    Text Solution

    |