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

Find the equation of the circle which cuts the three circles `x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0,` and `x^2+y^2+2x-6y+9=0` orthogonally.

A

`x^(2)+y^(2)-2x-4y+1=0`

B

`x^(2)+y^(2)+2x+4y+1=0`

C

`x^(2)+y^(2)-2x+4y+1=0`

D

`x^(2)+y^(2)-2x-4y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

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

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 the equation of the circle which cuts each of the circles x^2+y^2=4 , x^2 +y^2-6x-8y.+ 10=0 & x^2 + y^2+2x-4y-2 = 0 at the extremities of a diameter

Find the equation of the tangent to the circle x^2 + y^2-30x+6y+109=0 at (4, -1)

Equation of the circle cutting orthogonal these circles x^2+y^2-2x-3y-7=0 , x^2 +y^2+5x-5y+9=0 and x^2+y^2+7x-9y+29=0 is:

Find the centre and radius of the the circles: x^2 +y^2 - 4x-6y-14=0

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

    Text Solution

    |

  2. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  3. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  4. The equation of a circle which passes through (2a, 0) and whose radica...

    Text Solution

    |

  5. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  6. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |

  7. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  8. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

    Text Solution

    |

  9. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

    Text Solution

    |

  10. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  11. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  12. Equation of the circle through the origin and making intercepts of 3 a...

    Text Solution

    |

  13. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

    Text Solution

    |

  14. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

    Text Solution

    |

  15. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

    Text Solution

    |

  16. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

    Text Solution

    |

  17. The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the poi...

    Text Solution

    |

  18. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

    Text Solution

    |

  19. The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x...

    Text Solution

    |

  20. The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and ...

    Text Solution

    |