Home
Class 12
MATHS
If the distance between the foci of an e...

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

A

`1/2`

B

`1/sqrt2`

C

`1/3`

D

`1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

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

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 the latusrectum of an ellipse is equal to half of minor axis,find its eccentricity.

If the latus rectum of an ellipse is equal to the half of minor axis,then find its eccentricity.

If the latusrectum of an ellipse is equal to one half of its minor axis , then eccentricity is equal to

If the latursrectum of an ellipse is equal to half of its minor-axis, then find its eccentricity.

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

    |