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Two points P and Q are taken on the line...

Two points `P and Q` are taken on the line joining the points `A (0.0) and B (3a, 0)` such that `AP = PQ=QB.` Circles are drawn on `AP, PQ and QB` as diameters. The locus of the point S from which, the sum ofsquares of the lengths of the tangents to the three circles is equal to `b^2` is

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