Triangles and Inequalities I

Geometry Level pending

A Straight Line through the vertex \(P\) of a triangle \(PQR\) intersects the side \(QR\) at the point \(S\) and the circumcircle of the triangle \(PQR\) at the point \(T\).If \(S\) is not the centre of the circumcircle then..

\(\frac { 1 }{ PS } +\frac { 1 }{ ST } >\frac { \eta }{ QR }\)

Find \(\eta\)..

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