Home
Class 12
MATHS
The locus of the centre of the circle w...

The locus of the centre of the circle which cuts the circles
`x^(2)+y^(2)+2 g_(1) x+2 f_(1) y+c_(1)=0`
`x^(2)+y^(2)+2 g_(2) x+2 f_(2) y+c_(2)=0` orthogonally is

A

radical axis of the given circleS

B

a conic section

C

another circle

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The circles ax^(2)+ay^(2)+2g_(1)x+2f_(1)y+c_(1)=0 and bx^(2)+by^(2)+2g_(2)x+2f_(2)y+c_(2)=0 ( a ne 0 and b ne 0 ) cut orthogonally if

The locus of the centre of circle which cuts the circles x^2 + y^2 + 4x - 6y + 9 =0 and x^2 + y^2 - 4x + 6y + 4 =0 orthogonally is

The length of the diameter of the circle which cuts three circles x^(2)+y^(2)-xy-14=0 x^(2)+y^(2)+3x-5y-10=0 x^(2)+y^(2)-2x+3y-27=0 M orthogonally, is

The locus of the centre of a circle which cuts orthogonally the circle x^2+y^2 -20x+4=0 and which touches x = 2 is :

The locus of the centre of the circle : x^2+y^2+4x cos theta - 2 y sin theta - 10 = 0 is ,

The Locus of the centre of the circle of radius 3, which rolls on the outside of the circle x^2+y^2+3x-6y-9=0 is :

The number of real circles culting orthogonally the circle x^(2) + y^(2) + 2x -2y + 7 = 0 is

Locus of centre of a circle of radius 2, which rolls on the outside of circle x^2 +y^2 + 3x-6y-9=0 is

The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (1,-2) is

The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2) +x-y+5=0 is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  2. Given that the circleS x^(2)+y^(2)-2 x+6 y+6=0 and x^(2)+y^(2)-5 x+6 ...

    Text Solution

    |

  3. The locus of the centre of the circle which cuts the circles x^(2)...

    Text Solution

    |

  4. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  5. The radius of the circle 16 x^(2)+16 y^(2)-8 x+32 y-256=0 is

    Text Solution

    |

  6. The length of the intercept that a circle x^(2)+y^(2)+10 x-6 y+9=0 ma...

    Text Solution

    |

  7. The radius of the circle 3 x(x-2)+3 y(y+1)=4 is

    Text Solution

    |

  8. The equation of the tangtnt to the circle x^(2)+y^(2)+2 g x+2 f y+c=0...

    Text Solution

    |

  9. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  10. The equation of the circle circumscribing the triangle formed by the ...

    Text Solution

    |

  11. The circle x^(2)+y^(2)-8 x+4 y+4=0

    Text Solution

    |

  12. The equation of the circle passing through the points (1, 0) and (0, 1...

    Text Solution

    |

  13. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  14. The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

    Text Solution

    |

  15. The radical axis of the two circleS and the line of centres of those ...

    Text Solution

    |

  16. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  17. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  18. If (x(i), (1)/(x(i))), i=1,2,3,4 are four distinct points on the circl...

    Text Solution

    |

  19. The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point...

    Text Solution

    |

  20. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |