Home
Class 12
MATHS
If the tangents drawn from a point on th...

If the tangents drawn from a point on the hyperola `x^(2)-y^(2)=a^(2)-b^(2)` to the ellipse `x^(2)/a^(2)-y^(2)/b^(2)=1` makes angles `alpha and beta` with transverse axis of the hyperbola, then

A

`tan alpha-tan beta=1`

B

`tan alpha +tan beta=1`

C

`tan alpha tan beta=1`

D

`tan alpha tan beta=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Examples|10 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -I|47 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9) = 1 the angle between the tangents is

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse x^(2)/16+y^(2)/9=1 then the angle between the tangents is

Tangents are drawn from (-2,1) to the hyperola 2x^(2)-3y^(2)=6 . Find their equations.

Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the transverse axis. Find the locus of the their point of intersection if tan alpha + tan beta = k

Tangents drawn from (alpha , beta ) to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta _1 and theta _2 with the axis .If tan theta _1 tan theta _2=1 then alpha ^(2) -beta ^(2) =

Find the equation of the pair of tangents drawn from (-1,2) to the hyperola 2x^(2)-3y^(2)=1 .

AAKASH SERIES-HYPERBOLA-Exercise -II
  1. Statement-I: The number of integral values of K for which the equation...

    Text Solution

    |

  2. The equation of the director circle of x^(2)//12-y^(2)//8=1 is

    Text Solution

    |

  3. If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b...

    Text Solution

    |

  4. Equation of one of the tangents passing through (2, 8) to the hyperbol...

    Text Solution

    |

  5. The locus of the point of Interection of two tangents to the hyperbola...

    Text Solution

    |

  6. Locus of P such that the chord of contact of P with respect to y^2= 4a...

    Text Solution

    |

  7. 3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

    Text Solution

    |

  8. The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 i...

    Text Solution

    |

  9. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

    Text Solution

    |

  10. If the intercepts made by tangent, normal to a rectangular hyperbola x...

    Text Solution

    |

  11. If the normal at theta on the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 me...

    Text Solution

    |

  12. If the l x+ my=1 is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/...

    Text Solution

    |

  13. The locus of the point of intersection of the tangents at the ends of ...

    Text Solution

    |

  14. The locus of middle points of normal chords of the rectangular hyperbo...

    Text Solution

    |

  15. The maximum number of normals to hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 f...

    Text Solution

    |

  16. The product of lengths of the perpendiculars from the point of the hyp...

    Text Solution

    |

  17. The product of lengths of the perpendiculars from the point of the hyp...

    Text Solution

    |

  18. The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 i...

    Text Solution

    |

  19. The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 ar...

    Text Solution

    |

  20. The assymptotes of the hyperbola are parallel to 3x+2y=0, 2x+3y=0 whos...

    Text Solution

    |