Home
Class 12
MATHS
The distance between the foci of an elli...

The distance between the foci of an ellipse is 10 and its latus rectum is 15, find its equation referred to its axes as axes of coordinates.

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

If distance between foci of an ellipse equals its latus-rectrum , then its eccentricity is

Can the distance between foci of an ellipse be equal to distance its directrices ?

If the distance between the foci of an ellipse is half the length of its latus rectum,then the eccentricity of the ellipse is

Find the eccentricity of an ellipse if its latus rectum is equal to one-half of its major axis.

If distance between the foci of an ellipse is 6 and distance between its directionces is 12, then length of its latus rectum is

" If the distance between the foci of an ellipse is half the length of its latus rectum,then the eccentricity of the ellipse is: "

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

ARIHANT MATHS-ELLIPSE-Exercise For Session 1
  1. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  2. The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse ...

    Text Solution

    |

  3. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  4. If the eccentricity of an ellipse is 1/sqrt2, then its latusrectum is ...

    Text Solution

    |

  5. If the distance between the foci of an ellipse is equal to length of m...

    Text Solution

    |

  6. The eccentric angle of a point on the ellipse x^(2)/6 + y^(2)/2 = 1 wh...

    Text Solution

    |

  7. If tantheta1.tantheta2=a^2/b^2 then the chord Joining two points theta...

    Text Solution

    |

  8. If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=...

    Text Solution

    |

  9. The ratio of the area of triangle inscribed in ellipse (x^2)/(a^2)+...

    Text Solution

    |

  10. If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that S...

    Text Solution

    |

  11. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

    Text Solution

    |

  12. S1a n dS2 are the foci of an ellipse of major axis of length 10 units,...

    Text Solution

    |

  13. Find the latus rectum, eccentricity, coordinates of the foci and the l...

    Text Solution

    |

  14. The distance between the foci of an ellipse is 10 and its latus rectum...

    Text Solution

    |

  15. Find the equation of the ellipse whose axes are parallel to the coo...

    Text Solution

    |

  16. Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose...

    Text Solution

    |

  17. Show that the equation (10x-5)^(2)+(10y-5)^(2)=(3x+4y-1)^(2) represent...

    Text Solution

    |

  18. The locus of extremities of the latus rectum of the family of ellipse ...

    Text Solution

    |