Home
Class 12
MATHS
The locus of the image of the focus of t...

The locus of the image of the focus of the ellipse `(x^2)/(25)+(y^2)/9-1,(a > b),` with respect to any of the tangents to the ellipse is `(x+4)^2+y^2=100` (b) `(x+2)^2+y^2=50` `(x-4)^2+y^2=100` (d) `(x+2)^2+y^2=50`

A

`(x+4)^(2)+y^(2)=100`

B

(x+2)^(2)+y^(2)=50`

C

`(x-4)^(2)+y^(2)=100`

D

`(x-20^(2)+y^(2)=50`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=1,(a > b), with respect to any of the tangents to the ellipse is: (a) (x+4)^2+y^2=100 (b) (x+2)^2+y^2=50 (c) (x-4)^2+y^2=100 (d) (x+2)^2+y^2=50

The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

The eccentricity of the ellipse (x^2)/25+(y^2)/9=1 is ,

The locus of pole of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with respect to the parabola y^(2)=4ax, is

The y-coordinate of one focus of the ellipse 36x^2+25y^2+144-50y-731=0 is

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The locus of the poles of tangents to the director circle of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 is

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

The locus of poles of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with respect to concentric ellipse (x^(2))/(alpha^(2))+(y^(2))/(beta^(2))=1 is

The locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9-...

    Text Solution

    |

  2. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

    Text Solution

    |

  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  16. Find the equation of an ellipse hose axes lie along the coordinate ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16s...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

    Text Solution

    |

  20. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |