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A tangent is drawn to the parabola y^2=4...

A tangent is drawn to the parabola `y^2=4a x` at `P` such that it cuts the y-axis at `Qdot` A line perpendicular to this tangents is drawn through `Q` which cuts the axis of the parabola at `R` . If the rectangle `P Q R S` is completed, then find the locus of `Sdot`

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