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Geometry Level 5

Tangent is drawn at any point $(p,q)$ on the parabola $y^2=4ax$ . Tangents are drawn from any point on this tangent to the circle $x^2+y^2=a^2$ , such that the chords of contact pass through a fixed point $(r,s)$ . Then $p,q,r,s$ hold which of the given relations?