prove that normals at the ends of a focal chord of the parabola y^2=4a

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prove that normals at the ends of a focal chord of the parabola y^2=4ax intersect on the parabola y^2=ax-3a^2

prove that normals at the ends of a focal chord of the parabola y^2=4ax intersect on the parabola y^2=ax-3a^2

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