Home
Class 12
MATHS
Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 ...

Two circle `x^2+y^2=6` and `x^2+y^2-6x+8=0` are given. Then the equation of the circle through their points of intersection and the point (1, 1) is `x^2+y^2-6x+4=0` `x^2+y^2-3x+1=0` `x^2+y^2-4y+2=0` none of these

A

`x^(2)+y^(2)-6x+4=0`

B

`x^(2)+y^(2)-3x+1=0`

C

`x^(2)+y^(2)-4x+2=0`

D

`x^(2)+y^(2)-2x+1=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 5|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

Two circle x^(2)+y^(2)=6 and x^(2)+y^(2)-6x+8=0 are given.Then the equation of the circle through their points of intersection and the point (1,1) is x^(2)+y^(2)-6x+4=0x^(2)+y^(2)-3x+1=0x^(2)+y^(2)-4y+2=0 none of these

Find the equation of the circle passing through the point of intersection of the circles x^(2)+y^(2)-6x+2y+4=0,x^(2)+y^(2)+2x-4y-6=0 and with its centre on the line y=x

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13)" is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

ARIHANT MATHS-CIRCLE -Exercise For Session 6
  1. The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^...

    Text Solution

    |

  2. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  3. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  4. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

    Text Solution

    |

  5. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  6. Two circles of radii r(1) and r(2), r(1) gt r(2) ge2 touch each other ...

    Text Solution

    |

  7. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

    Text Solution

    |

  8. If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the...

    Text Solution

    |

  9. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  10. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  11. The equation of the diameter of the circle 3(x^(2)+y^(2))-2x+6x-9-0 wh...

    Text Solution

    |

  12. consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 ...

    Text Solution

    |

  13. Find the equation of the circle passing throught (1,1) and the points ...

    Text Solution

    |

  14. Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2...

    Text Solution

    |

  15. Prove that the circles x^(2)+y^(2)+2ax+2ax+2by=0 and x^(2)+y^(2)+2a(1)...

    Text Solution

    |

  16. The point of intersection of common transverse tangents of two circles...

    Text Solution

    |