Home
Class 12
MATHS
The equation of the circle passing throu...

The equation of the circle passing through (1,2) and the points of intersection of the circles `x^2+y^2-8x-6y+21=0` and `x^2+y^2-2x-15=0` is

Text Solution

Verified by Experts

The correct Answer is:
`3(x^(2)+y^(2))-18x-12y+27=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 passing therough the points of intersection of the circles. x^2 + y^2 - 8x - 6y + 21 = 0 "__"(1) x^2 + y^2 - 2x -15 = 0 "___"(2) and (1, 2).

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-8x-6y-21=0 x^(2)+y^(2)-2x-15=0and(1,2)

Show that the locus of the centres of the circles passing through the points of intersections of the circles x^2+y^2=1 and x^2+y^2-2x+y=0 is x+2y=0

Show that the equation of the line passsing through the points of intersection of the circles 3x^2+3y^2-2x+12y-9=0 and x^2+y^2+6x+2y-15=0 is 10x-3y-18=0

The locus of the centres of the circles passing thorugh the points of intersection of the circles x^(2) + y^(2) =1 and x^(2) + y^(2) - 2x +y=0 is

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

    |