Home
Class 12
MATHS
The auxiliary circle of the hyperbola xy...

The auxiliary circle of the hyperbola `xy=9 ` is:

A

`x^(2) +y^(2) =9`

B

` x^(2) +y^(2) = 6`

C

` x^(2) +y^(2) =18`

D

` x^(2) +y^(2) =36`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2)//9=1 is

The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2) //9=1 is

Find the equation of the auxiliarly circle of the hyperbola (x^(2))/(6)-(y^(2))/(4) = 1

Length of the principal axis of the hyperbola xy= 32 is

The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 is

The angle between the asymptotes of the hyperbola xy= a^2 is

The equation of the hyperbola is xy-4x+3y=0 and its asymptotes are xy-4x+3y=k then k=

The length of the semi treansverse axis of the rectangular hyperbola xy = 32 is

AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. If (xi yi) ,i = 1,2,3,4 are concyclic points on xy=c^(2) and if y1. ...

    Text Solution

    |

  2. The locus a point P ( alpha , beta) moving under the condition that ...

    Text Solution

    |

  3. The auxiliary circle of the hyperbola xy=9 is:

    Text Solution

    |

  4. If a hyperbola has one focus at the origin and its eccentricity is sqr...

    Text Solution

    |

  5. If a hyperbola has one focus at the origin and its eccentricity is sqr...

    Text Solution

    |

  6. The point of intersection of the asymptotes with the directrices lie o...

    Text Solution

    |

  7. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

    Text Solution

    |

  8. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

    Text Solution

    |

  9. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

    Text Solution

    |

  10. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

    Text Solution

    |

  11. The equation to the conjugate hyperbola of xy+ 3x- 4y +13=0 is

    Text Solution

    |

  12. A = (1,2) , B= ( 6,-10 ) locus of P such that PA- PB =13 is

    Text Solution

    |

  13. s= 0 is a hyperbola , if s+ k =0 (k is a real number ) represents eq...

    Text Solution

    |

  14. If the distances between two parallel tangents drawn to the hyperbola ...

    Text Solution

    |

  15. A tangent drawn to hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 a...

    Text Solution

    |

  16. The sides AC and AB of a Delta ABC touch the conjugate hyperbola of ...

    Text Solution

    |

  17. If values of m for which the line y= mx +2 sqrt5 touches the hyperbola...

    Text Solution

    |

  18. If a ray of light incident along the line 3x+ (5-4 sqrt2 ) y= 15 get...

    Text Solution

    |

  19. Statement I: Asymptotes of hyperbola 3x+4y =2 and 4x-3y =5 are bisecto...

    Text Solution

    |

  20. If S1 and S2 are the foci of the hyperbola whose transverse axis le...

    Text Solution

    |