Home
Class 12
MATHS
The area of the triangle formed by any t...

The area of the triangle formed by any tangent to the hyperbola ` x^(2) //a^(2) -y^(2) //b^(2) =1` with its asymptotes is

A

ab

B

abc

C

4 ab

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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

The product of the perpendicular from any point on the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 to its asymptotes is

The product of the perpendicular from the foci on any tangent to the hyperbola x^(2) //a^(2) -y^(2) //b^(2) =1 is

The angles between the asymptotes of the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 is

The condition that the line y = mx+c may be a tangent to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 is

Prove that the product of the perpendicular from any point on the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 to its asymptodes is constant.

The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 is

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

The area (in square units) of the equilateral triangle formed by the tangent at (sqrt3,0) to the hyperbola x^(2) -3y^(2) =3 with the pair of asymptotes of the heyperbola is

AAKASH SERIES-HYPERBOLA-Exercise -II
  1. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If 2x^(2)+5xy+2y^(2)-11x-7y+K=0 is the pair of asymptotes of the hyper...

    Text Solution

    |

  14. The line x+y+1=0 is an asymptote of x^(2)-y^(2)+x-y-2=0. The other asy...

    Text Solution

    |

  15. The equation of a line passing through the centre of a rectangular hyp...

    Text Solution

    |

  16. The area of the triangle formed by any tangent to the hyperbola x^(2)...

    Text Solution

    |

  17. Statement-I : The combined equatioin of the pair of asymptotes of the ...

    Text Solution

    |

  18. If x= 9 is a chord of contact of the hyperbola x^(2) -y^(2) =9, then ...

    Text Solution

    |

  19. If the circle x^(2)+y^(2)=r^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  20. The area (in square units) of the equilateral triangle formed by the t...

    Text Solution

    |