Home
Class 11
MATHS
Taking major and minor axes as x and y -...

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse
whose eccentricity is `(1)/(sqrt(2))` and the sum of the squares of major and minor axes is 24 .

Promotional Banner

Topper's Solved these Questions

  • MULTIPLE AND SUB-MULTIPLE ANGLES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos

Similar Questions

Explore conceptually related problems

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and length of latus rectum 3 .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(5)) and passes through the point (-3, 1)

Taking major and minor axes as x and y-axes respectively , find the eqation of the ellipse Whose eccentricity is (3)/(5) and coordinates of foci are (pm 3, 0 )

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(3)) and the length of semi-latus rectum is 2 unit

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse which passes through the point (1,3) and (2,1) .

Taking major and minor axes as x and y -axes respectively, find the equation of the ellipse whose lengths of minor axis and latus rectum are 4 and 2 .

Taking major and minor axes as x and y -axes respectively, find the equation of the ellipse whose lengths of major and minor axes are 6 and 5 respectively .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose coordinates of vertices are (pm 4 , 0 ) and the coordinates of the ends of monor axes are (0 , pm 2 ) .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose length of latus rectum is (18)/(5) unit and the coordinates of one focus are (4,0)

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose distance between the foci is 4sqrt(3) unit and minor axis is of length 4 unit .

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. Find the eccentricity of the ellipse if the length of minor axis ...

    Text Solution

    |

  2. The eccentricity of an ellipse whose distance between the foci is 4 an...

    Text Solution

    |

  3. Taking major and minor axes as x and y - axes respectively , find the ...

    Text Solution

    |

  4. Find the equation of the ellipse whose foci (0,+-4) and the equation o...

    Text Solution

    |

  5. The eccentricity of an ellipse is (2)/(3) focus is S(5,4) and the ma...

    Text Solution

    |

  6. Find the equation to the ausiliary circle of the ellipse 4x^(2) +9...

    Text Solution

    |

  7. The coordinates of the focus of an ellipse are (1,2) and eccentricity...

    Text Solution

    |

  8. Find the length of the latus rectum, eccentricity, coordinates of cent...

    Text Solution

    |

  9. Find the equation of the ellipse whose vertices are (-3,5) and (9,5) a...

    Text Solution

    |

  10. A line segment of length (a+b) units moves on a plane in such a way th...

    Text Solution

    |

  11. Find the eccentricity and equations of the directrices of the ellips...

    Text Solution

    |

  12. If the chord joining the points P(theta)' and 'Q(phi)' of the ellipse ...

    Text Solution

    |

  13. P and Q be the extremities of the two conjugate diameters of the ellip...

    Text Solution

    |

  14. The length of latus rectum of the hyperabola 9y^(2) - 4x^(2) = 36 is -

    Text Solution

    |

  15. If the latus rectum of a hyperbola is equal to half of its transverse ...

    Text Solution

    |

  16. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

    Text Solution

    |

  17. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

    Text Solution

    |

  18. The eccentricity of the hyperbola x^2-y^2=4 is

    Text Solution

    |

  19. Find the equation to the locus represented by the parametric equation...

    Text Solution

    |

  20. The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=...

    Text Solution

    |