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Find the locus

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December 9, 2010
ratiogeometry unsolvedgeometry

Problem Statement

Let C1,C2C_1 , C_2 be two circles in the plane intersecting at two distinct points. Let PP be the midpoint of a variable chord ABAB of C2C_2 with the property that the circle on ABAB as diameter meets C1C_1 at a point TT such that PTP T is tangent to C1C_1 . Find the locus of PP .
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