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

  • CIRCLE

    MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced)|49 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 1 (Objective Problems | JEE Main)|48 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 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 and x^(2)+y^(2)-6x-6y+4=0 orthogonally is

The equation of a circle which cuts the three circles x^(2)+y^(2)+2x+4y+1=0,x^(2)+y^(2)-x-4y+8=0 and x^(2)+y^(2)+2x-6y+9=0 orthogonlly is

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)

Find the equations of the two circles which intersect the circles x^2+y^2-6y+1=0 and x^2+y^2-4y+1=0 orthogonally and touch the line 3x+4y+5=0

The centre of circle cutting the three circles x^(2)+y^(2)-4x-4y+5=0 , x^(2)+y^(2)-4x-6y+5=0 , x^(2)+y^(2)-4x-8y+5=0 orthogonally is

Find the equation of the circle which cuts each of the circles x^(2)+y^(2)=4x^(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 circle which cuts the circle x^(2)+y^(2)-14x-8y+64=0 and the coordinate axes orthogonally.

Find the locus of the centres of the circle which cut the circles x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)+4x+6y+4=0 orthogonally

MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
  1. The locus of the mid points of the chords of the circle x^2+y^2-ax-by=...

    Text Solution

    |

  2. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  3. The chord of contact of tangents from three points P, Q, R to the circ...

    Text Solution

    |

  4. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

    Text Solution

    |

  5. A pair of tangents are drawn from the origin to the circle x^2+y^2+20(...

    Text Solution

    |

  6. Find the equation of the pair of tangents drawn to the circle x^2 + y^...

    Text Solution

    |

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

    Text Solution

    |

  8. The lenght of the common chord of circles x^2+y^2-6x-16=0 and x^2+y^2-...

    Text Solution

    |

  9. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  10. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

    Text Solution

    |

  11. If the circles x ^(2) +y^(2) +2ax+cy+a=0 and x ^(2) +y^(2) -3ax+dy-1=0...

    Text Solution

    |

  12. If a circle passes through the point (a,b) and cuts the circle x ^(2) ...

    Text Solution

    |

  13. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

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

    Text Solution

    |

  15. A variable circle passes through the fixed point A(p,q) and touches t...

    Text Solution

    |

  16. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  17. The common chord of two intersecting circdes C1, and C2 can be seen fr...

    Text Solution

    |

  18. What is the length of the the shortest path by which one can go from (...

    Text Solution

    |

  19. In a right triangle ABC, right angled at A, on the leg AC as diameter,...

    Text Solution

    |

  20. A circle is inscribed ti.e. touches all four sides ) into a rhombous A...

    Text Solution

    |