JEE Mains 6-Apr-2023 Shift 1 Solved Paper

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 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 value of αβ is ______.