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 " __"(i)`
`x^2 + y^2 - 2x -4y - 1 = 0" ___"(ii)`
`x^2 + y^2 - 6x - 2y = 0 " __"(iii)`

Text Solution

Verified by Experts

The correct Answer is:
Point of intersection of (1) and (2) is radical centre will (7/6, 11/6) we get by solving these two equaiton.
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 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 .

Find the equation of the radical axis of the following circles. x^2 + y^2 - 3x - 4y + 5 = 0. 3(x^2 + y^2) - 7x + 8y - 11 = 0

Let find the radical and centre of the circles x^2 + y^2 - 2x + 6y = 0 " ___"(1) x^2 + y^2 - 4x - 2y + 6 = 0 " ____"(2) and x^2 + y^2 -12x + 2y + 3 = 0 "___"(3)

Find the equation of the radical axis of the following circles. x^2 + y^2 + 4x + 6y -7 = 0. 4(x^2 + y^2) + 8x + 12y - 9 = 0.

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

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 common chord of the following pair of circles. x^2 + y^2 - 4y + 3 = 0 , x^2 + y^2 - 5x - 6y + 4 = 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

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

    |