1) Circle O is a unit circle. Segment AS has length (12/5) and is tangent to circle O at A. If P is the intersection of OS with circle O, find length PS.
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2) Two circles, centered at A and B are externally tangent to each other, and tangent to a line L. A third circle, centered at C is externally tangent to the first two circles, and the line L. If the radii of circle A and circle B are 9 and 16, respectively, then what is the radius of circle C.
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