Home
Class 12
MATHS
The centre of the ellipse 9 x^(2)+5 y^(...

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

A

`(2,5)`

B

(0,5)`

C

` (1,2)`

D

`(-2,1)`

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

The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

The centre of the ellipse 8 x^(2)+6 y^(2)-16 x+12 y-34=0 is

Centre of the ellipse 3 x^(2)+4 y^(2)+6 x+16 y-29=0 is at

The vertices of the ellipse 4 x^(2)+y^(2)-16 x-6 y-39=0

Area of the ellipse x^(2)/9+y^(2)/4=1 is

The eccentricity of the ellipse x^(2)+4 y^(2)+8 y-2 x+1=0 Is

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

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

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The eccentricity of an ellipse, with its centre at origin is (1)/(2) t...

    Text Solution

    |