Another on Circle: It will make u round and round

Geometry Level pending

A circle M is drawn with its centre on x-axis and pass through Centre of another circle N any of whose points can be given by \(( cos (\alpha) , sin ( \alpha ) \) . A common tangent to M and N Touch the Circles at Q and R respectively . The \(Q(x,y)\) always satisfies \(x^{2} = \lambda/ 2015 \). Then \(\lambda\) is

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