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2014 Geometry #2: Point P and line l

Source:

February 25, 2014
geometryanalytic geometrypower of a point

Problem Statement

Point PP and line ℓ\ell are such that the distance from PP to ℓ\ell is 1212. Given that TT is a point on ℓ\ell such that PT=13PT = 13, find the radius of the circle passing through PP and tangent to ℓ\ell at TT.
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