Home
Class 11
MATHS
If latus-rectum is one-third minor axis,...

If latus-rectum is one-third minor axis, then eccentricity of the ellipse is

A

`2/5`

B

`(sqrt(2))/(3)`

C

`(2sqrt(2))/(3)`

D

`(3)/(3sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If latus-rectum = semi-minor axis, then e=

If the normal at an end of a latus-rectum of an elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one extremity of the minor axis,show that the eccentricity of the ellipse is given by e^(4)+e^(-1)=0

In an ellipse,if the lines joining focus to the extremities of the minor axis form an equilateral triangle with the minor axis,then the eccentricity of the ellipse is

If the normal at an end of a latus-rectum of an ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 passes through one extremity of the minor axis, show that the eccentricity of the ellipse is given by e = sqrt((sqrt5-1)/2)

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

If the major axis of an ellipse lies on the Y-axis,its minor axis lies on the X-axis and the length of its latus rectum is equal to (2)/(3) of its minor axis,then the eccentricity of that 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: "

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. An ellipse , with principal axes along co-ordinate axes has eccentrici...

    Text Solution

    |

  2. If two ellipse E ( a gt b ) "and " E ( alpha gt beta ) have the same...

    Text Solution

    |

  3. If latus-rectum is one-third minor axis, then eccentricity of the elli...

    Text Solution

    |

  4. If latus-rectum = ((1)/(2)) major axis, then e =

    Text Solution

    |

  5. If latus-rectum = semi-minor axis, then e=

    Text Solution

    |

  6. If (distance between directrices ) = 3 (distance between foci) , then ...

    Text Solution

    |

  7. If m times distance between foci of an ellipse is equal to n times dis...

    Text Solution

    |

  8. Can the distance between foci of an ellipse be equal to distance its d...

    Text Solution

    |

  9. If eccentricities of a parabola and an ellipse are e and e' respective...

    Text Solution

    |

  10. If eccentricities of a parabola and an ellipse are e and e' respective...

    Text Solution

    |

  11. Co-ordinates of a point P((pi)/(3)) on the ellipse 16x^(2) + 25y^(2)...

    Text Solution

    |

  12. foci of the ellipse x = 4 cos theta , y = 3 sin theta are

    Text Solution

    |

  13. Focal distances of the point P (5, 4sqrt(3)) on the ellipse 64x^(2...

    Text Solution

    |

  14. If a chord PQ , joining P (theta) " Q and " (phi) , of an ellipse (...

    Text Solution

    |

  15. If P ( theta ) " and " Q (phi ) are two points on an ellipse (x^(2...

    Text Solution

    |

  16. If a chord P(theta) Q(phi) of an ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  17. If P (theta) is a point on the ellipse E (a gt b) , whose foci are...

    Text Solution

    |

  18. An ellipse , centred at the origin , has eccentricity 1/2 and one dire...

    Text Solution

    |

  19. If distance between foci of an ellipse equals its latus-rectrum , then...

    Text Solution

    |

  20. Find the sum of the focal distances of any point on the ellipse 9x^...

    Text Solution

    |