Home
Class 12
MATHS
Find the equation of the circle passing ...

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).

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 CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(a)|26 Videos

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

  • RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 7 (d)|4 Videos

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ -7 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

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)

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

Find the equation of the circle passing through (2,3) and concentric with the circle x^(2) + y^(2) + 8x + 12y + 15= 0

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

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-SYSTEM OF CIRCLE-EXERXCISE - 2(b)
  1. Find the equation of the circle passing therough the points of interse...

    Text Solution

    |

  2. Find the equation of the radical axis of the following circles. x^2 ...

    Text Solution

    |

  3. Find the equation of the radical axis of the following circles. x^2 ...

    Text Solution

    |

  4. Find the equation of the radical axis of the following circles. x^2 ...

    Text Solution

    |

  5. Find the equation of the radical axis of the following circles. x^2 ...

    Text Solution

    |

  6. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  7. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  8. Find the equation of the common chord of the following pair of circles...

    Text Solution

    |

  9. find the equation of the common tangent of the following circles at th...

    Text Solution

    |

  10. find the equation of the common tangent of the following circles at th...

    Text Solution

    |

  11. Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2...

    Text Solution

    |

  12. if the two circles x^2 + y^2 + 2gx + 2fy = 0 and x^2 + y^2 + 2g'...

    Text Solution

    |

  13. Find the radical centre of the following circles. x^2 + y^2 - 4x - 6...

    Text Solution

    |

  14. Find the radical centre of the following circles. x^2 + y^2 + 4x - ...

    Text Solution

    |

  15. Show that the common chord of the circle cles x^2 + y^2 - 6x - 4y + 9...

    Text Solution

    |

  16. Find the equation and length of the common chord of the following circ...

    Text Solution

    |

  17. Find the equation and length of the common chord of the following circ...

    Text Solution

    |

  18. Prove that the radical axis of the circles x^2 + y^2 + 2gx + 2fy + c...

    Text Solution

    |

  19. Show that the circles x^2 +y^2 + 2ax + c = 0 and x^2 + y^2 + 2by ...

    Text Solution

    |

  20. Show that the circles x^2 + y^2 - 2x =0 and x^2 + y^2 + 6x - 6y + 2 = ...

    Text Solution

    |

  21. Find the equation of the circle which cuts the following circles ortho...

    Text Solution

    |