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 \( AB \). The point \( Q \) on the line segment \( AB \) is the foot of perpendicular from \( P \) on \( AB \). If \( PQ \) is equal to \( 11 \) units, then the value of \( \alpha \beta \) is ______________.
