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

Find the equation of the circle which intersects each of the following circles orthogonlly
`x^2 + y^2 + 4x + 2y + 1 = 0 .`
`2(x^2 + y^2) + 8x + 6y - 3 = 0,`
`x^2 + y^2 + 6x -2y - 3 =0.`

Text Solution

Verified by Experts

The correct Answer is:
(or)` x^2 + y^2 - 14x - 5y - 34 = 0`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(a)|26 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 which cuts each of the following circles orthogonally. x^2+y^2+3x+2y+1=0 x^2+y^2-x+6y+5=0 x^2+y^2+5x-8y+15=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+2x+17y+4=0 x^2+y^2+7x+6y+11=0 x^2+y^2-x+22y+3=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+2x+4y+1=0 2x^2+2y^2+6x+8y-3=0 x^2+y^2-2x+6y-3=0

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

Find k if the following pairs of circles are orthogonal. x^2 + y^2 - 6x - 8y + 12 = 0 , x^2 + y^2 - 4x + 6y + k = 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 .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-SYSTEM OF CIRCLE-EXERXCISE - 2(b)
  1. Find the equation of the radical axis of the following circles. x^2 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the equation of the circle which intersects each of the following...

    Text Solution

    |