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Let P and Q be 2 circles externally touh...

Let P and Q be 2 circles externally touhing each other at point X. Line segment AB is a direct common tangent to circle P and Q at points A and B respectively. Another common tangent to P and Q at X intersects line AB at a point Y. If BY = 10 units and the radius of P is 9 units, then the value of the reciprocal of the radius of the radius of the circle Q is equal to

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