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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?

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