Home
Class 12
MATHS
Find the equation of the circle which cu...

Find the equation of the circle which cuts the circles `x^2+y^2-4x-6y+11=0` and `x^2+y^2-10x-4y+21=0` orthogonally and has the diameter along the line 2x+3y=7.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-4x-2y+3=0`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Practice Exercise|36 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

Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

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

Find the equations of the circles which cut orthogonally the circles x^2+y^2-6y+1=0, x^2+y^2-4y+1=0 and touch the line 3x+4y+5=0

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally then k=

Find the equation of the circle which intersects the circle x^2 + y^2 - 6x + 4y - 3 = 0 orthogonally and passes through the point (3,0) and touches Y-axis.

AAKASH SERIES-SYSTEM OF CIRCLES-EXERCISE -2.1
  1. Show that the circles given by the following equations intersect each ...

    Text Solution

    |

  2. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  3. Show that the circles given by the following equations intersect each ...

    Text Solution

    |

  4. Show that the circles given by the following equation intersect each o...

    Text Solution

    |

  5. Find k if the following pairs of circles are orthogonal x^2+y^2+2by-...

    Text Solution

    |

  6. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-6...

    Text Solution

    |

  7. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-1...

    Text Solution

    |

  8. Find the equation of the circle which passes through the origin and in...

    Text Solution

    |

  9. Find the equation of the circle which passes through the origin and in...

    Text Solution

    |

  10. Find the equation of the circle which passes through (1,1) and cuts or...

    Text Solution

    |

  11. Find the equation of the circle which cuts orthogonally the circle x^...

    Text Solution

    |

  12. Find the equation of the circle which passes through the points (2,0)(...

    Text Solution

    |

  13. Find the equation of circle which intersect the circle x^2+y^2-6x+4y-3...

    Text Solution

    |

  14. Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+1...

    Text Solution

    |

  15. Find the equation of the circle passing through the origin, having its...

    Text Solution

    |

  16. The equation of the circle which cuts orthogonally the three circles x...

    Text Solution

    |

  17. Find the equation of the circle orthogonal to each of the circles x^(...

    Text Solution

    |

  18. The equation of the circle passing through (1,2) and the points of int...

    Text Solution

    |

  19. If the straight line 2x+3y=1 intersects the circle x^2+y^2=4 at the po...

    Text Solution

    |

  20. If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8...

    Text Solution

    |