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 +10`

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

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 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

VMC MODULES ENGLISH-CIRCLES-LEVEL-2
  1. The equation of the circle and its chord are-respectively x^2 + y^2 =...

    Text Solution

    |

  2. Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the poin...

    Text Solution

    |

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

    Text Solution

    |

  4. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  7. A line is tangent to a circle if the length of perpendicular from the ...

    Text Solution

    |

  8. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  9. The locus of a point which moves such that the tangents from it to the...

    Text Solution

    |

  10. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. A variable circle always touches the line y =x and passes through th...

    Text Solution

    |

  13. If a circle passes through the points of intersection of the lines 2x-...

    Text Solution

    |

  14. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

    Text Solution

    |

  15. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  16. Find the range of values of m for which the line y=m x+2 cuts the circ...

    Text Solution

    |

  17. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  20. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

    Text Solution

    |