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Show that the circle passing through the...

Show that the circle passing through the origin and cutting the circles `x^2 + y^2 - 2a_1 x – 2b_1 y + c_1 = 0 and x^2 + y^2 - 2a_2x - 2b_2y + c_2 = 0` orthogonally is `|(x^2+y^2,x,y),(c_1,a_1,b_2),(c_2,a_2,b_2)|=0`

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