Home
Class 12
MATHS
Find the radical centre of the following...

Find the radical centre of the following circles
`x^2+y^2-4x-6y+5=0`
`x^2+y^2-2x-4y-1=0`
`x^2+y^2-6x-2y=0`

Text Solution

Verified by Experts

The correct Answer is:
`(7/6,11/6)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE -2.1|23 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 radical centre of the following circles. x^2 + y^2 - 4x - 6y + 5 = 0 " __"(i) x^2 + y^2 - 2x -4y - 1 = 0" ___"(ii) x^2 + y^2 - 6x - 2y = 0 " __"(iii)

Find the radical centre of the following circles. x^2 + y^2 + 4x - 7 = 0 , 2x^2 + 2y^2 + 3x + 5y - 9 = 0 , x^2 + y^2 + y = 0 .

The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y^2+4x+6y-19=0 is

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

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 .

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

Find the radical centre of the circles x^(2)+y^(2)+4x=7=0, 2x^(2)+2y^(2)+3x+5y-9=0 and x^(2)+y^(2)+y=0.

AAKASH SERIES-SYSTEM OF CIRCLES-EXERCISE 2.2
  1. Find the equation of the radical axis of the following circles x^(2)...

    Text Solution

    |

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

    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 common chord of the following pair of circlers ...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equation of the common tangent of the following circles at th...

    Text Solution

    |

  8. Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 ...

    Text Solution

    |

  9. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

    Text Solution

    |

  10. Find the radical centre of the following circles x^2+y^2-4x-6y+5=0 ...

    Text Solution

    |

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

    Text Solution

    |

  12. Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that the radical axis of the circles x^2+y^2+2gx +2fy+c=0 and x^...

    Text Solution

    |

  16. Show that the circles x^(2)+y^(2)+2ax+c=0 and x^(2)+y^(2)+2by+c=0 touc...

    Text Solution

    |

  17. Show that the circles x^(2)+y^(2)-2x=0 and x^(2)+y^(2)+6x-6y+2=0 touch...

    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 each of the following circl...

    Text Solution

    |

  20. Find the equation of the circle which cuts each of the following circl...

    Text Solution

    |