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**free_to_fly** Given that S (square root 3,0) is a focus of the ellipse with equation 3x^2+4y^2=36. The origin is O and P is any point on the ellipse. A line is drawn from O perpendicular to the tangent to the ellipse at P and this line meets the line SP, produced if necessary, in the point Q. Show that the locus of Q is a circle.

Can someone show me the diagram for this (I think my diagram's wrong) and give me a hint as to where to start? Then hopefully I should be able to get the answer. Thanks.