Home
Class 12
MATHS
The equation of the ellipse whose one fo...

The equation of the ellipse whose one focus is at `(4,0)` and whose eccentricity is `(4)/(5)` is

A

`(x^(2))/(25)+(y^(2))/(9)=1`

B

`(x^(2))/(9)+(y^(2))/(25)=1`

C

`(x^(2))/(5)+(y^(2))/(4)=25`

D

`(x^(2))/(4)+(y^(2))/(5)=1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The equation to the ellipse whose foci are (pm2,0) and eccentricity (1)/(2) is :

The equation of the ellipse with foci at (pm3,0) and vertices (pm5,0) is :

The equation of the parabola whose focus is (5,3) and the directrix 3 x-4 y+1=0 is

The equation of the hyperbol whose foci are (-2,0) and (2,0) and eccentricity is 2 is given by :

The equation to the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

The equation of the ellipse whose focus is (1,-1) the directrix the line x-y-3=0 and eccentricity (1)/(2) is

Find the equation to the hyperbola whose foci, are (6,4) and (-4,4) and eccentricity is 2.

The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0) is

Find the equation of the ellipse whose vertices are (+-13,0) and foci are (+-5,0)

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If the major axis of an ellipse is 3 times its minor axis its ecentric...

    Text Solution

    |

  2. A circle described with minor axis of an ellipse as a diameter. If the...

    Text Solution

    |

  3. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

    Text Solution

    |

  4. The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

    Text Solution

    |

  5. The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

    Text Solution

    |

  6. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-18 x-20 y-16=0 is

    Text Solution

    |

  7. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

    Text Solution

    |

  8. The sides of the rectangle of greatest area that can be inseribed in t...

    Text Solution

    |

  9. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

    Text Solution

    |

  10. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

    Text Solution

    |

  11. Equation of the circle passing through the intersection of ellipses (x...

    Text Solution

    |

  12. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  13. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

    Text Solution

    |

  14. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |

  15. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

    Text Solution

    |

  16. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  17. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

    Text Solution

    |

  18. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  19. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

    Text Solution

    |

  20. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

    Text Solution

    |