Home
Class 12
MATHS
If x= 9 is a chord of contact of the hyp...

If x= 9 is a chord of contact of the hyperbola ` x^(2) -y^(2) =9`, then the equation of the tangents at one of the points of contact is

A

`x+sqrt3 y+2=0`

B

`3x-2sqrt2 y-3=0`

C

`3x-sqrt2 y+6=0`

D

`x-sqrt3 y+2=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Find the chord of contact of (1, 1) to the circle x^(2) + y^(2) = 9 .

If x=9 is the chord of contact of tangents of x^(2)-y^(2)=9 , then show that the equation of corresponding tangents is 9x^(2)-8y^(2)-18x+9=0

The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

The equation of asymptotes of the hyperbola 4x^(2)-9y^(2)=36 is

The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 is

The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 are

The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 at the ends of latus rectum are

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

    |