Home
Class 11
MATHS
Tangent are drawn from the point (3, 2) ...

Tangent are drawn from the point (3, 2) to the ellipse `x^2+4y^2=9` . Find the equation to their chord of contact and the middle point of this chord of contact.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the chord of the circle x^2+y^2=9 whose middle point is (1,-2)

Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

If tangents are drawn from the origin to the curve y= sin x , then their points of contact lie on-

The area of triangle formed by the tangents from the point (3, 2) to the hyperbola x^2-9y^2=9 and the chord of contact w.r.t. the point (3, 2) is_____________

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. (a) (3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 jo...

    Text Solution

    |

  2. Prove that the chords of contact of pairs of perpendicular tangents to...

    Text Solution

    |

  3. Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 ....

    Text Solution

    |

  4. Find the locus of the point of intersection of tangents to the elli...

    Text Solution

    |

  5. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

    Text Solution

    |

  6. If from a point P , tangents PQ and PR are drawn to the ellipse (x^2...

    Text Solution

    |

  7. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  8. Find the locus of a point P(alpha, beta) moving under the condition th...

    Text Solution

    |

  9. The locus of the point which is such that the chord of contact of ta...

    Text Solution

    |

  10. A point P moves such that the chord of contact of the pair of tangents...

    Text Solution

    |

  11. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  12. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

    Text Solution

    |

  13. The locus of the point which divides the double ordinates of the ell...

    Text Solution

    |

  14. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

    Text Solution

    |

  15. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

    Text Solution

    |

  16. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  17. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  18. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  19. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  20. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |