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A circle passing through the point P(alp...

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 _______.

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