Home
Class 12
MATHS
The equation of the ellipse whose length...

The equation of the ellipse whose length of the major axis is 10 units and co-ordinates of the foci are `(0, pm 4)` is

A

`(x^(2))/(5) + (y^(2))/(3) =1`

B

`(x^(2))/(3) + (y^(2))/(5) =1`

C

`(x^(2))/(25) + (y^(2))/(9) =1`

D

`(x^(2))/(9) + (y^(2))/(25) =1`

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 the ellipse,whose length of the major axis is 20 and foci are (0,+-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 major axis is 8 and minor axis is 4.

Find the equation of the ellipse having, length of major axis 26 and foci (+-5, 0)

Find the equation of the ellipse having, length of major axis 16 and foci (0, +- 6)

Find the equation of the ellipse having, length of major axis 8 and foci (+- 3, 0)

AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose ...

    Text Solution

    |

  2. If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  3. The equation of the ellipse whose length of the major axis is 10 units...

    Text Solution

    |

  4. If the major axis of an ellipse is alongthe y-axis and it passes throu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |