A circle passing through the point P (α, β) in the first quadrant touches the two coordinate axes at the points A and B. The point P is above the…

A circle passing through the point $\displaystyle \mathrm{P}(\alpha, \beta)$ 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 $\displaystyle Q$ on the line segment $\displaystyle A B$ is the foot of perpendicular from $\displaystyle P$ on $\displaystyle A B$. If $\displaystyle P Q$ is equal to $\displaystyle 11$ units, then the value of $\displaystyle \alpha \beta$ is $\displaystyle \_\_\_\_$