Home
Class 12
MATHS
The locus of the centers of the circles ...

The locus of the centers of the circles which cut the circles `x^(2) + y^(2) + 4x – 6y + 9 = 0` and `x^(2) + y^(2) – 5x + 4y – 2 = 0` orthogonally is

Text Solution

Verified by Experts

The correct Answer is:
`9x - 10 y + 7 = 0`; radical axis
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced) Matrix Match Type|1 Videos

  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos

  • CIRCLE

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

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

The locus of the centre of all circle which cuts the circle x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)-4x+6y+4=0 orthogonlly is

If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2) + y^(2) - 4x - 6y + 4 = 0 are orthogonal , find k.

The locus of the centre of a circle which cuts the circles 2x^(2)+2y^(2)-x-7=0 and 4x^(2)+4y^(2)-3x-y=0 orthogonally is a straight line whose slope is (A)-1 (B) 1(C)-2(D)-(5)/(2)

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 locus of the centre of the circle which cuts the circle x^(2)+y^(2)-20x+4=0 orthogonally and touches the line x=2 is

The loucs of the centre of the circle which cuts orthogonally the circle x^(2)+y^(2)-20x+4=0 and which touches x=2 is

Find the equation of circle passing through the origin and cutting the circles x^(2) + y^(2) -4x + 6y + 10 =0 and x^(2) + y^(2) + 12y + 6 =0 orthogonally.

MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. Find the equation of a circle passing through the origin if the line p...

    Text Solution

    |

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

    Text Solution

    |

  3. The locus of the centers of the circles which cut the circles x^(2) + ...

    Text Solution

    |

  4. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  5. Find the equation of the circle passing through the point (– 6, 0) if ...

    Text Solution

    |

  6. Find the equation of the circle which passes through the origin, meets...

    Text Solution

    |

  7. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

    Text Solution

    |

  8. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

    Text Solution

    |

  9. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  10. Find the equations of straight lines which pass through the intersecti...

    Text Solution

    |

  11. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  12. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  13. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  14. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  15. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  16. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  17. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  18. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  19. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

    Text Solution

    |

  20. Consider a circles S with centre at the origin and radius 4. Four circ...

    Text Solution

    |