Home
Class 11
MATHS
If (2,4) and (10,10) are the ends of a l...

If (2,4) and (10,10) are the ends of a latus rectum of an ellipse with eccentricity then the length of semi major axis is a.`20//3` b. `15//3` c. `40//3` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

  • FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|200 Videos

Similar Questions

Explore conceptually related problems

Find the latus rectum and eccentricity of the ellipse whose semi-axes are 5 and 4.

Find the equation of the ellipse in the following case: eccentricity e=1/2 and semi major axis =4 .

Find the equation of an ellipse whose latus rectum is 8 and eccentricity is 1/3

The equation of ellipse whose foci are (pm 3, 0) and length of semi-major axis is 4 is

If lines 2x+3y=10 and 2x-3y=10 are tangents at the extremities of a latus rectum of an ellipse, whose centre is origin, then the length of the latus rectum is :

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

Find the eccentricity of an ellipse if its latus rectum is equal to one-half of its major axis.

If (0, 3+sqrt5) is a point on the ellipse whose foci and (2, 3) and (-2, 3) , then the length of the semi - major axis is

Find the length of the latus rectum of the ellipse if the eccentricity is (1)/(2) and the distance between the foci and the centre of the ellipseis 4.

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

RD SHARMA ENGLISH-ELLIPSE-All Questions
  1. The eccentricity of the ellipse if the distance between the foci is ...

    Text Solution

    |

  2. The eccentricity of ellipse, if the distance between the foci and ...

    Text Solution

    |

  3. The difference between the lengths of the major axis and the latus r...

    Text Solution

    |

  4. The eccentricity of the conic 9x^2+25 y^2=225 is a.2//5 b.4//5 c. 1//3...

    Text Solution

    |

  5. The latus rectum of the conic 3x^2+4y^2-6x+8y-5=0 is a.3 b. (sqrt(3))/...

    Text Solution

    |

  6. Find the equations of the tangents drawn from the point (2, 3) to t...

    Text Solution

    |

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

    Text Solution

    |

  8. The eccentricity of the ellipse 4x^2+9y^2=36 is a.1/(2sqrt(3)) b. 1/...

    Text Solution

    |

  9. The eccentricity of the ellipse 5x^2+9y^2=1 is a.2//3 b. 3//4 c. 4//5 ...

    Text Solution

    |

  10. For the ellipse x^2+4y^2=9 a. the eccentricity is 1/2 b. the latus...

    Text Solution

    |

  11. If the latus rectum of an ellipse is equal to the half of minor axis, ...

    Text Solution

    |

  12. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

    Text Solution

    |

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

    Text Solution

    |

  14. If (2,4) and (10,10) are the ends of a latus rectum of an ellipse with...

    Text Solution

    |

  15. The equation (x^2)/(2-lambda)+(y^2)/(lambda-5)+1=0 represents an elips...

    Text Solution

    |

  16. The eccentricity of the ellipse 9x^2+25 y^2-18 x-100 y-116=0 is a.25//...

    Text Solution

    |

  17. If the major axis of an ellipse is three times the minor axis, then it...

    Text Solution

    |

  18. The eccentricity of the ellipse 25x^2+16 y^2=400 is a.3//5 b. 1//3 c. ...

    Text Solution

    |

  19. The eccentricity of the ellipse 5x^2+9y^2=1 is a.2//3 b. 3//4 c. 4//5 ...

    Text Solution

    |

  20. The eccentricity of the ellipse 4x^2+9y^2=36 is a.1/(2sqrt(3)) b. 1/(s...

    Text Solution

    |