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Three particles A, B and C situated at v...

Three particles `A, B` and `C` situated at vertices of an equilateral triangle, all moving with same constant speed such that A always move towards `B, B` always towards `C` and `C` always towards `A`. Initial seperation between each of the particle is a. `O` is the centroid of the triangle. Distance covered by particle A when it completes one revolution around `O` is

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