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Find the set of all such points M

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October 5, 2010
geometrygeometric transformationreflectiongeometry proposed

Problem Statement

Let ℓ\ell be tangent to the circle kk at BB. Let AA be a point on kk and PP the foot of perpendicular from AA to ℓ\ell. Let MM be symmetric to PP with respect to ABAB. Find the set of all such points M.M.
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