Circle

A circle passing through the point \(P(\alpha, \beta)\) in the first quadrant touches the two coordinate axes at the points \(A\) and \(B\). The point \(P\) is above the line \(A B\). The point \(Q\) on the line segment \(A B\) is the foot of perpendicular from \(P\) on \(A B\). If \(P Q\) is equal to 11 units, then the value of \(\alpha \beta\) is
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