Home
Class 11
MATHS
Eccentricity of the ellipse whose latus ...

Eccentricity of the ellipse whose latus rectum is equal to the distnce between two focus points, is

A

`(sqrt5 +1)/(2)`

B

`(sqrt 5-1)/(2)`

C

`(sqrt5)/(2)`

D

`(sqrt3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|158 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of an ellipse, the length of whose minor axis is equal to the distance between the foci, is

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

Find the equation of the ellipse whose minor aixs is equal to the distance between the foci and length of latus rectum is 10.

Find the equation of the ellipse whose minor axis is equal to distance between the foci and latus rectum is 10.

Find the eccentricity of the ellipse whose (i) latus rectum is half of minor axis (ii) minor axis is half of major axis.

Find the eccentricity of an ellipse whose latus rectum in one half of its major axis.

In the ellipse distance between the foci is equal to the distance between a focus and one end of minor axis then its eccentricity is

The eccentricity of the ellipse is (2)/(5) and the distance between the foci is 10. Find the length of the latus rectum of the ellipse.

TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. If the distance betweent a focus and corresponding directrix of an ell...

    Text Solution

    |

  2. The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

    Text Solution

    |

  3. Eccentricity of the ellipse whose latus rectum is equal to the distnce...

    Text Solution

    |

  4. Filnd the distance between the directrices the ellipse (x^2)/(36)+(...

    Text Solution

    |

  5. The equation of the circle passing through the foci of the ellipse (x...

    Text Solution

    |

  6. Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in...

    Text Solution

    |

  7. The length of the axes of the conic 9x^(2) + 4y^(2) - 4y + 1 = 0, are

    Text Solution

    |

  8. The co-ordinates of the foci of the ellipse 3x ^(2) + 4y ^(2) -12 x -8...

    Text Solution

    |

  9. The eccentricity of the ellipse 4x^2=9y^2=8x+36 y+4=0 is 5/6 b. 3/5 c....

    Text Solution

    |

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

    Text Solution

    |

  11. The length of the transverse axis of a hyperbola is 7 and it passes th...

    Text Solution

    |

  12. If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,...

    Text Solution

    |

  13. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

    Text Solution

    |

  14. If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqr...

    Text Solution

    |

  15. Find the equation of the hyperbola whose conjugate axis is 5 and th...

    Text Solution

    |

  16. A hyperbola, centred at the prigin, has transverse axis 2a. If it pass...

    Text Solution

    |

  17. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

    Text Solution

    |

  18. The equation of the hyperbola whose directrix is 2x+y=1, focus (1,1) a...

    Text Solution

    |

  19. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  20. The vertices of the hyperbola 9x^(2)-16y^(2)-36x+96y-252=0 are

    Text Solution

    |