Home
Class 11
MATHS
Find the equation of an ellipse whose ec...

Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

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

Find the equation of an ellipse whose eccentricity is (3)/(5) and co-ordinates of foci are (0, pm6) .

Find the equation of an ellipse whose latus rectum is 10 and eccentricity is (1)/(2) .

Obtain the equation of the ellipse whose latus rectum is 5 and whose eccentricity is 2/3 , the axes of the ellipse being the axes of coordinates.

Find the equation of the ellipse in the following case: eccentricity e=2/3 and length of latus rectum =5 .

Find the equation to the ellipse with axes as the axes of coordinates. latus rectum is 5 and eccentricity 2/3 ,

Show that x^2+4y^2-2x+16 y+13=0 is the equation of an ellipse. Find its eccentricity, vertices, foci, directices and , the length and the equation of the latus-rectum.

Find the equation of parabola whose Vertex is (2,3) latus rectum is 8 and axis is parallel to x-axis

Obtain the equation of the ellipse whose latus rectum is 5 and whose e centricity is (2)/(3) , the axes of the ellipse being the axes of coordinates.

Find the equation of the hyperbola whose foci are (0,+-4) and latus rectum is 12.

RD SHARMA ENGLISH-ELLIPSE-All Questions
  1. Find the centre ,the lengths of the axes, eccentricity, foci of the ...

    Text Solution

    |

  2. Find the equation of an ellipse whose foci are at (+-3,0) and which pa...

    Text Solution

    |

  3. Find the equation of an ellipse whose eccentricity is 2/3, the latus ...

    Text Solution

    |

  4. Find the equation of an ellipse with its foci on y-axis, eccentricity ...

    Text Solution

    |

  5. Find the equation of an ellipse whose axes lie along coordinate axes a...

    Text Solution

    |

  6. Find the equation of an ellipse whose axes lie along the coordinate ...

    Text Solution

    |

  7. Find the equation of an ellipse the distance between the foci is 8 ...

    Text Solution

    |

  8. Find the equation of an ellipse whose vertices are (0,+-10) and eccent...

    Text Solution

    |

  9. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |

  10. If the lengths of semi major and semi minor axes of an ellipse are 2 ...

    Text Solution

    |

  11. Write the eccentricity of the ellipse 9x^2+5y^2-18 x-2y-16=0.

    Text Solution

    |

  12. Write the centre and eccentricity of the ellipse 3x^2+4y^2-6x+8y-5=0.

    Text Solution

    |

  13. PSQ is a focal chord of the ellipse 4x^2+9y^2=36 such that SP=4....

    Text Solution

    |

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

    Text Solution

    |

  15. The eccentricity of the ellipse, if the distance between the foci is e...

    Text Solution

    |

  16. If S\ a n d\ S ' are two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

    Text Solution

    |

  17. If the minor axis of an ellipse subtends an equilateral triangle with ...

    Text Solution

    |

  18. If a latus rectum of an ellipse subtends a right angle at the centre o...

    Text Solution

    |

  19. For the ellipse 12 x^2+4y^2+24 x-16 y+25=0 a.centre is (-1,2) b. leng...

    Text Solution

    |

  20. The directrix of the parabola x^2-4x-8y + 12=0 is

    Text Solution

    |