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L O L ' and M O M ' are two chords of pa...

`L O L '` and `M O M '` are two chords of parabola `y^2=4a x` with vertex `A` passing through a point `O` on its axis. Prove that the radical axis of the circles described on `L L '` and `M M '` as diameters passes though the vertex of the parabola.

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