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Find the equations of the two circles w...

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

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

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

Knowledge Check

  • The locus of the centres 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 .

    A
    9x+10y-7=0
    B
    x-y+2=0
    C
    9x-10y+11=0
    D
    9x+10y+7=0

  • The equation of the circle through points of intersection of the circle x^2+y^2-4y+4=0 and the line x+2y=4 which touches the line x+2y=0 , is

    A
    `x^2+y^2+x+2y=0`
    B
    `x^2+y^2-x-2y=0`
    C
    `x^2+y^2-x+2y=0`
    D
    None of these

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    Find the equation of the circle passing through the intersection of the circles x^(2)+y^(2)-4=0 and x^(2)+y^(2)-2x-4y+4=0 and touching the line x+2y=0

    Find the equation of line joining the center of the circles x^(2)+y^(2)-2x+4y+1=0 and 2x^(2)+2y^(2)-2y+4x+1=0

    Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.

    Find the equation of the circle which is concentric with the circle x^(2) + y^(2) - 6x - 4y- 3 = 0 , and has radius 5.

    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.

    The equation of the circle which touches the circle x^(2)+y^(2)-6x+6y+17=0 externally and to which the lines x^(2)-3xy-3x+9y=0 are normals,is

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