Home
Class 12
MATHS
Tangents are drawn from the point P(3,4)...

Tangents are drawn from the point P(3,4) to the ellipse `(x^2)/(9)+(y^2)/(4)=1` touching the ellipse at points A and B.
The equation of the locus of the point whose distance from the point P and the line AB are equal, is:

A

`(9x^(2)+y^(2)-6xy-54x-62y+241=0`

B

`x^(2)+9y^(2)+6xy-54x+62y-241=0`

C

`9x^(2)+9y^(2)-6xy-54x-62y-241=0`

D

`x^(2)+y^(2)-2xy+27x+31y-120=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos

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

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

  • ESSENTIAL MATHEMATICAL TOOLS

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

Similar Questions

Explore conceptually related problems

The equation of the locus of the point whose distances from the point P and the line AB are equal, is

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9 +y^2/4 =1 touching the ellipse at points A and B. The orthocenter of the triangle PAB is

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The coordinates of A and B are

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The orthocenter of the trianlge PAB is

Tangents are drawn from P(3,0) to the circle x^(2)+y^(2)=1 touches the circle at points A and B.The equation of locus of the point whose distances from the point P and the line AB are equal is

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The locus of the foot of prependicular drawn from the center of the el...

    Text Solution

    |

  15. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  16. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

    Text Solution

    |

  17. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  18. If the tangents to the ellipse at M and N meet at R and the normal to ...

    Text Solution

    |

  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

    Text Solution

    |

  20. Let F1(x1,0) and F^(2)(x2,0) for x1lt0 andx2gt0, be the foci of the el...

    Text Solution

    |