Home
Class 12
MATHS
The centre of the hyperbola x^(2)-y^(2)-...

The centre of the hyperbola `x^(2)-y^(2)-4x-2y-8=0` is

A

(2,2)

B

(2,-2)

C

(2,1)

D

(2,-1)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Practice Exercise|55 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Additional Exercise|29 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 centre of the circle x^(2)+y^(2)-4x-2y-4=0 is

The distance between the foci of the hyperbola x^(2) -3y^(2) -4x -6y -11 =0 is

the centre of the hyperbola 9x^(2 )- 16y^(2)+ 72 x - 32y -16=0 is

The foci of the hyperbola 2x^(2) -y^(2) -4x + 4y -10 =0 are

The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

Find the centre eccentricity, foci, directrices and length of the lotus rectum of the hyperbolas. 4x^(2)-9y^(2)-8x-32=0

The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y -39 =0 are

The equation of transverse axis of the hyperbola 5x^(2) -4y^(2) -30x -8y-39 =0 is

AAKASH SERIES-HYPERBOLA-Exercise -I
  1. If (lambda-2)x^(2)+4y^(2)=4 represents a rectangular hyperbola then la...

    Text Solution

    |

  2. If m is a variable the locus of the point of intersection of the lines...

    Text Solution

    |

  3. The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

    Text Solution

    |

  4. The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

    Text Solution

    |

  5. The length of the transverse axis of 9x^(2)-16y^(2)-18x-32y-151=0 is

    Text Solution

    |

  6. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

    Text Solution

    |

  7. The equation of the conjugate axis of the hyperbola ((y-2)^(2))/(9)-((...

    Text Solution

    |

  8. Equation of directrices of 4x^(2)-9y^(2)=36 are

    Text Solution

    |

  9. The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

    Text Solution

    |

  10. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

    Text Solution

    |

  11. If a,b are eccentricities of a hyperbola and its conjugate hyperbola t...

    Text Solution

    |

  12. The eccentricity of the conjugate hyperbola of the hyperola x^(2)-3y^(...

    Text Solution

    |

  13. If e(1) and e(2) are eccentricities of the hyperbolas xy=c^(2) and x^2...

    Text Solution

    |

  14. The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a h...

    Text Solution

    |

  15. The distance between the foci is 4sqrt(13) and the length of conjugate...

    Text Solution

    |

  16. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

    Text Solution

    |

  17. If the latus rectum through one focum subtends a right angle at the fa...

    Text Solution

    |

  18. If the lactus recturm of a hyperbola through one focus subtends 60^@ a...

    Text Solution

    |

  19. If the latus rectum of a hyperola forms an equilateral triangle with t...

    Text Solution

    |

  20. The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

    Text Solution

    |