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A straight line PQ touches the ellipse x...

A straight line PQ touches the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` and the circle `x^(2)+y^(2)=r^(2)(bltrlta)`. RS is a focal chord of the ellipse. If RS is parallel to PQ and meets the circle at points R and S. Find the length of RS.

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