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 point A and B. Q. The coordinates of A and B are

A

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

B

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

C

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

D

`x^2 +9y^2 -2xy +27x +31y -120 =0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MOTION|Exercise Exercise - 3 | Subjective | JEE Advanced|21 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

Similar Questions

Explore conceptually related problems

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.

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 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 equation of the locus of the points whose distance 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 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:

MOTION-ELLIPSE -Exercise - 4 | Level-I Previous Year | JEE Main
  1. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  2. A focus of an ellipse is at the origin. The directrix is the line x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The equation of the circle passing through the foci of the ellipse ...

    Text Solution

    |

  6. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  7. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  8. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  9. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  10. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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. Let F1(x1, 0) and F2(x2, 0), for x1 lt 0 and x2 gt 0, be the foci of t...

    Text Solution

    |

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

    Text Solution

    |

  20. Consider two straight lines, each of which is tangent to both the c...

    Text Solution

    |