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Let P be a point on the ellipse x^2/a^2...

Let P be a point on the ellipse `x^2/a^2+y^2/b^2=1 , 0 < b < a` and let the line parallel to y-axis passing through P meet the circle `x^2 +y^2=a^2` at the point Q such that P and Q are on the same side of x-axis. For two positive real numbers r and s, find the locus of the point R on PQ such that `PR : RQ = r : s` and P varies over the ellipse.

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