Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines $x+(\mathrm{k}-1) y+3=0$ and $2 x+\mathrm{k}^2 y-4=0$. If the line $x-y+2=0$ intersects the circle at the points $A$ and $B$, then $(A B)^2$ is equal to :
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