Home
Class 12
MATHS
The circle passing through (1,1) and cut...

The circle passing through (1,1) and cutting the two circles `x^2+y^2-4x-2y-4=0, x^2+y^2-2x-4y-4=0` othogonally is

A

`x^2+y^2+6x+6y-14=0`

B

`x^2+y^2-3x-3y-7=0`

C

`x^2+y^2-7x+14y-5=0`

D

`x^2+y^2-x-6y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE -2.1|23 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-I (Class work)|20 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

The centre of the circle passing through the point (1,0) and cutting the circles x^(2)+y^(2)-2x+4y+1=0 and x^(2)+y^(2)+6x-2y+1=0 orthogonally is

The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2+y^2-4x-6y+4=0, x^2+y^2-4x-8y+4=0 orthogonally is

Find the equation of the circle which passes through (1,1) and cuts orthogonally each of the circles x^2+y^2-8x-2y+16=0 and x^2+y^2-4x-4y-1=0

The circles x^(2)+y^(2)-2x-4y-20=0, x^(2)+y^(2)+4x-2y+4=0 are

AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. The equation of the circle which pass through the origin and cuts orth...

    Text Solution

    |

  2. If the circle x^2+y^2+8x-4y+c=0 touches the circle x^2+y^2+2x+4y-11=0 ...

    Text Solution

    |

  3. The circle passing through (1,1) and cutting the two circles x^2+y^2-4...

    Text Solution

    |

  4. The circle through the two points (-2,5),(0,0) and intersecting x^2+y^...

    Text Solution

    |

  5. A circle passes through origin and has its centre on y = x. If it cuts...

    Text Solution

    |

  6. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

    Text Solution

    |

  7. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

    Text Solution

    |

  8. The locus of centres of all circles which touch the line x = 2a and cu...

    Text Solution

    |

  9. If the circles of same radius 'a' and centres at (2, 3) and (5, 6) cut...

    Text Solution

    |

  10. If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + ...

    Text Solution

    |

  11. A line 'I' meets the circle x^2 + y^2 =61 in A, B and P(-5, 6) is such...

    Text Solution

    |

  12. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

    Text Solution

    |

  13. From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-...

    Text Solution

    |

  14. The common chord of x^2 + y^2 - 4x - 4y = 0 and x^2 + y^2 = 16 substen...

    Text Solution

    |

  15. x^2+y^2+2lambdax+5=0 and x^2+y^2+2lambday+5=0 are two circles. P is a ...

    Text Solution

    |

  16. The centres of the circles are (a, c) and (b, c) and their radical axi...

    Text Solution

    |

  17. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

    Text Solution

    |

  18. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  19. The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0...

    Text Solution

    |

  20. The centre of the circle orthogonal to the circles x^2+y^2+4y+1=0 , x^...

    Text Solution

    |