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The circle x^2 + y^2 + 2gx + 2fy + c = 0...

The circle `x^2 + y^2 + 2gx + 2fy + c = 0,` cuts the parabola `x^2= 4ay ` at points `A_i(x_i,y_i) , i=1,2,3,4` then

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