Home
Class 12
MATHS
If the latus rectum of an ellipse is hal...

If the latus rectum of an ellipse is half of its minor axis then e =

A

`(1)/sqrt(2)`

B

`sqrt(3)/(2)`

C

`2/3`

D

`sqrt(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

If the latusrectum of an ellipse is half of its major axis then e is

The distance between the foci of an ellipse is equal to half of its minor axis then eccentricity is

The latus rectum of an ellipse is 1/3 of the major axis. It's eccentricity is

The eccentricity of the ellipse whose latus rectum is equal to half of its minor axis is

Find the eccentricity of the ellipse (i) whose latus rectum is equal to half of its minor axis (ii) whose latus rectum is equal to half of its major axis (iii) if the major axis is three times the minor axis

The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are (1, -2 ) and 3x + 4y - 15 = 0 then the eccentricity of the ellipse is

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 latusrectum is equal to 2/3 of its minor axis, then the eccentricity of that ellipse is

(2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse with eccentricity 1/2 . The length of major axis is

If the length of the major axis of an ellipse is three times the length of its minor axis then find the eccentricity of the ellipse.

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. Assertion (A) : the sum and product of the slopes of the tangents to...

    Text Solution

    |

  2. If the latusrectum of an ellipse is half of its major axis then e is

    Text Solution

    |

  3. If the latus rectum of an ellipse is half of its minor axis then e =

    Text Solution

    |

  4. The distance between the directrix is equal to 8 times the distance be...

    Text Solution

    |

  5. If the m inor axis of an ellipse form s an equilateral triangle with o...

    Text Solution

    |

  6. Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse....

    Text Solution

    |

  7. The length of the latus rectum of an ellipse is 4. The focus and its c...

    Text Solution

    |

  8. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

    Text Solution

    |

  9. The latus rectum LL^(') subtends a right angle at the centre of the el...

    Text Solution

    |

  10. If the latus rectum of a hyperola forms an equilateral triangle with t...

    Text Solution

    |

  11. Area of the quadrilateral formed by the extremities of major axis and ...

    Text Solution

    |

  12. If x+ky-5=0 is a tangent to the ellipse 4x^(2)+9y^(2)=20 then k =

    Text Solution

    |

  13. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

    Text Solution

    |

  14. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

    Text Solution

    |

  15. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

    Text Solution

    |

  16. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

    Text Solution

    |

  17. The radius of the director circle of 16x^(2)+9y^(2)=144 is

    Text Solution

    |

  18. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

    Text Solution

    |

  19. The equation to the auxiliary circle of (x^(2))/(12)+(y^(2))/(18)=1 is

    Text Solution

    |

  20. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

    Text Solution

    |