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The equation of the circle which pass th...

The equation of the circle which pass through the origin and cuts orthogonally each of the circles `x^(2)+y^(2)-6x+8=0` and `x^(2)+y^(2)-2x-2y=7` is

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Tangents drawn from P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touches the circle at the points A and B, respectively.The radius of the circle which passes through the points of intersection of circles x^(2)+y^(2)-2x-6y+6=0 and x^(2)+y^(2)-2x-6y+6=0 the circumcircle of the and interse Delta PAB orthogonally is equal to