Home
Class 12
MATHS
Equation of the ellipse whose axes are t...

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity `sqrt(2//5)` is :

A

`3x^(2)+5y^(2)-15=0`

B

`5x^(2)+3y^(2)-32=0`

C

`3x^(2)+5y^(2)-32=0`

D

`5x^(2)+3y^(2)-48=0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

The equation of the ellipse referred to its axes as coordinate axes, which passes through the point (2, 2) and (1, 4) is

The equation of the ellipse refered to its axes as coordinate axes, which passes through the points (2, 2) and (1, 4) is

The equation of the ellipse with its focus at (6, 2), centre at (1, 2) and which passes through the point (4, 6) is

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

I : The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity =1//sqrt(2) " is " x^(2)//64+y^(2)//32=1 II : The equation o the ellipse with its axes as the coordinate axes respectively and whose minor axis = 6 and eccentricity = 1/2 is x^(2)//12+y^(2)//9=1

The equation of the ellipse with its axes as the coordinate axes respectively and whose minor axis = 6 and eccentricity = 1/2 is

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2,3).

Find the equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point (2, -3) one focus at (3, -3) and one vertex at (4,-3)

The equation of the circles touching the coordinate axes and passing through the point (k,2k) where k gt 0 is

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The ellipse x^(2)+4y^(2)=4 is inscribed in a rectangle aligned with th...

    Text Solution

    |

  2. The equation of the ellipse whose vertices are (4, 1), (6, 1) whose fo...

    Text Solution

    |

  3. Equation of the ellipse whose axes are the axes of coordinates and whi...

    Text Solution

    |

  4. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

    Text Solution

    |

  5. The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

    Text Solution

    |

  6. The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

    Text Solution

    |

  7. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

    Text Solution

    |

  8. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

    Text Solution

    |

  9. The foci of the ellipse (x-1)^(2)/5+(y-5)^(2)/9=1 is

    Text Solution

    |

  10. The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

    Text Solution

    |

  11. The length of the major axis of the ellipse (x-3)^(2)/4+(y-2)^(2)/9=1 ...

    Text Solution

    |

  12. The length of the major axis of 3x^(2)+4y^(2)+6x-8y-5=0 is

    Text Solution

    |

  13. The length of the minor axis of 9x^(2)+25y^(2)-18x-100y-116=0 is

    Text Solution

    |

  14. In an ellipse, minor axis = 8 and eccentricity = sqrt(5)//3 then major...

    Text Solution

    |

  15. A focus of an ellipse is at the origin. The directrix is the line x = ...

    Text Solution

    |

  16. The length of the latus rectum of the ellipse (x-1)^(2)/4+(y+2)^(2)/25...

    Text Solution

    |

  17. The length of the latus rectum of the ellipse 9x^(2)+25y^(2)-18x-100y-...

    Text Solution

    |

  18. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

    Text Solution

    |

  19. The distance between the focii of the ellipse x=3costheta, y=4sintheta...

    Text Solution

    |

  20. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

    Text Solution

    |