The equation of the circle circumscribing the triangle whose sides are the lines $y=x+2,3y=4x,2y=3x$ is _____________

Question

$\begin{array}{1 1}x^2+y^2+122x-196y=0\\x^2+y^2-122x-196y=0\\x^2+y^2-122x+196y=0\\x^2+y^2+122x+196y=0\end{array}$