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))/(3^(2))+(y^(2))/(5^(2))=1`

B

`(x^(2))/(5^(2))+(y^(2))/(3^(2))=1`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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. The product of the perpendiculars from the foci on any tangent to the ...

    Text Solution

    |

  2. Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 ...

    Text Solution

    |

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

    Text Solution

    |

  4. The centre of the ellipse 9 x^(2)+5 y^(2)-36 x-50 y+116=0 is

    Text Solution

    |

  5. If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144, thenc=

    Text Solution

    |

  6. If the latus-rectum of the ellipse is half the minor axis, then its ec...

    Text Solution

    |

  7. Eccentricity of the ellipse 25 x^(2)+9 y^(2)-150 x-90 y+225=0

    Text Solution

    |

  8. An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the co...

    Text Solution

    |

  9. An ellipse has a minor axis of Iength 6 and the distance between its f...

    Text Solution

    |

  10. In an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the distance betwee...

    Text Solution

    |

  11. The angle between the lines joining the foci of an ellipse to an extre...

    Text Solution

    |

  12. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

    Text Solution

    |

  13. The locus of the point of intersection of two perpendicular tangents t...

    Text Solution

    |

  14. An ellipse has its centre (1,-1) and semi major axis is 8, which passe...

    Text Solution

    |

  15. The distance between the foci is 6, e=(1)/(2), the length of the major...

    Text Solution

    |

  16. Equation of the tangent and the normal drawn at the point (6,0) on the...

    Text Solution

    |

  17. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  18. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  19. The equation to the ellipse whose foci are (pm2,0) and eccentricity (1...

    Text Solution

    |

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

    Text Solution

    |