Home
Class 12
MATHS
An ellipse has its centre (1,-1) and sem...

An ellipse has its centre `(1,-1)` and semi major axis is `8`, which passes through the point `(1,3)` . Then the equation of the ellipse is

A

`((x-1)^(2))/(64)+((y-1)^(2))/(16)=1`

B

`((x+1)^(2))/(64)+((y+1)^(2))/(16)=1`

C

`((x-1)^(2))/(64)+((y+1)^(2))/(16)=1`

D

`((x-1)^(2))/(16)+((y+1)^(2))/(64)=1`

Text Solution

Verified by Experts

The correct Answer is:
C
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 ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4,0) . Then the equation of the ellipse is

The parabola (y+1)^(2)=a(x-2) passes through the point (1,-2) . The equation of its directrix is

The foci of an ellipse are (0,pm1) and minor axis is of unit length. Then the equation of the ellipse is :

An ellipse is drawn by taking the diameter of the circle (x-1)^(2)+y^(2)=1 as semi-minor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the co-ordinate axes, then the equation of the ellipse is :

find the equation circle which is passes through the points (4,1),(6,5) and centre lies on 4x+y=16 is

A circle passes through the points (-1,3) and (5,11) and its radius is 5. Then, its centre is

Find the equation of the ellipse whose centre is at the origin and major axis along x-axis and passing through the points (-3,1) and (2, -2) .

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

Find the equation of a line passing through the points (-1,1) and (2,-4)?

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Area of the greatest rectangle that can be inscribed in the ellipse (x...

    Text Solution

    |

  12. An ellipse has O B as semi minor axis, F and F^(prime) its foci and th...

    Text Solution

    |

  13. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

  14. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

  15. In an ellipse the distance between the foci is 6 and minor axis is 8 ....

    Text Solution

    |

  16. If P=(x, y), F(1)=(3,0), F(2)=(-3,0) and 16 x^(2)+25 y^(2)=400 then P ...

    Text Solution

    |

  17. If tangents are drawn to the ellipse x^(2)+2 y^(2)=2 then the locus of...

    Text Solution

    |

  18. The area of the quadrilateral formed by the tangents at the end points...

    Text Solution

    |

  19. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) for 0...

    Text Solution

    |

  20. The graph represented by the equations x=sin ^(2) t y=2 cos t is

    Text Solution

    |