Home
Class 12
MATHS
If the length of the major axis of an e...

If the length of the major axis of an ellipse in 3 times the length of minor axis , then its eccentricity is

A

`1//3`

B

`1//sqrt(3)`

C

`1//sqrt(2)`

D

`2sqrt(2)//3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

If the major axis of an ellipse is three times the minor axis, then its eccentricity is equal to a. 1/3 b. 1/(sqrt(3)) c. 1/(sqrt(2)) d. (2sqrt(2))/3 e. 3/(3sqrt(2))

If the length of the major axis is n times the minor axis of the ellipse, then ecccentricity is

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

The major axis of an ellipse is twice its minor axis. Find its eccentricity.

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  2. the length of the latusrectum of an ellipse is one thrid of its...

    Text Solution

    |

  3. If the length of the major axis of an ellipse in 3 times the length ...

    Text Solution

    |

  4. The distance between the foci of the ellipse 5x^(2)+9y^(2)=45 is

    Text Solution

    |

  5. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

    Text Solution

    |

  6. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

    Text Solution

    |

  7. the equation of the ellipse passing through (2,1) having e=1/2...

    Text Solution

    |

  8. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

    Text Solution

    |

  9. In an ellipse the distance between the foci is 8 and the distance betw...

    Text Solution

    |

  10. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

    Text Solution

    |

  11. If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are...

    Text Solution

    |

  12. An ellipse is described by using an ellipse string which is passed ove...

    Text Solution

    |

  13. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

    Text Solution

    |

  14. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

    Text Solution

    |

  15. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

    Text Solution

    |

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

    Text Solution

    |

  17. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

    Text Solution

    |

  18. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

    Text Solution

    |

  19. Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0), i...

    Text Solution

    |

  20. If B and B' are the ends of minor axis and S and S' are the foci of th...

    Text Solution

    |