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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

A

`x^2+y^2-3ax+2a^2-b^2=0`

B

`3(x^2+y^2)-9ax+8a^2-b^2=0`

C

`x^2+y^2-5ax+6a^2-b^2=0`

D

`x^2+y^2-ax-b^2=0`

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