Home
Class 12
MATHS
If the chords of contact of tangents fro...

If the chords of contact of tangents from two poinst `(x_1, y_1)` and `(x_2, y_2)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` are at right angles, then find the value of `(x_1x_2)/(y_1y_2)dot`

A

`(a^(2))/(b^(2))`

B

`-(b^(2))/(a^(2))`

C

`-(a^(4))/(b^(4))`

D

`-(b^(4))/(a^(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|20 Videos

  • ELLIPSE

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|14 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If the chords of contact of tangents from two poinst (x_(1),y_(1)) and (x_(2),y_(2)) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 are at right angles,then find the value of (x_(1)x_(2))/(y_(1)y_(2))

If chords of contact of the tangent from two points (x_1,y_1) and (x_2,y_2) to the ellipse x^2/a^2+y^2/b^2=1 are at right angles , then (x_1x_2)/(y_1y_2) is equal to

If the chords of contact of tangents fromtwo points (x_(1),y_(1)) and (x_(2),y_(2)) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angles,then (x_(1)x_(2))/(y_(1)y_(2)) is equal to (a) (a^(2))/(-b^(2))( b) (b^(2))/(-a^(2))( c) (b^(4))/(-a^(4))

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.

If chord of contact of the tangent drawn from the point (a,b) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 touches the circle x^(2)+y^(2)=k^(2), then find the locus of the point (a,b).

FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  2. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

    Text Solution

    |

  3. If the chords of contact of tangents from two poinst (x1, y1) and (...

    Text Solution

    |

  4. If the normals at an end of a latus rectum of an ellipse passes throug...

    Text Solution

    |

  5. An ellipse having coordinate axes as its axes and semi major and semi ...

    Text Solution

    |

  6. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  7. A tangent is drawn to the ellipse (x^(2))/(27)+y^(2)=1 at the point (3...

    Text Solution

    |

  8. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  9. P is any point on the ellipise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and S...

    Text Solution

    |

  10. The curve with parametric equations x=1+4 cos theta, y=2+3 sin theta ...

    Text Solution

    |

  11. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  12. A perfectely rough plane is inclined at an angle alpha to the horizont...

    Text Solution

    |

  13. The locus of the point of intersection of the tangents drawn to the el...

    Text Solution

    |

  14. An ellipse of major and minor axes of length sqrt(3) and 1 respectivel...

    Text Solution

    |

  15. A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the e...

    Text Solution

    |

  16. Angle between tangents drawn from any point on the circle x^2 +y^2 = (...

    Text Solution

    |

  17. The locus of point intersection of perpendicular tangents of ellipse (...

    Text Solution

    |

  18. If alpha, beta are the eccentric angles of the extermities of a focal ...

    Text Solution

    |

  19. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

    Text Solution

    |

  20. The locus of foot of perpendicular from focus of ellipse (x^(2))/(a^(2...

    Text Solution

    |