The centre of mass of a system of particles is at the origin. It follows that

Let’s cancel out wrong options first. For (A), no, doesn’t matter on left or right, a as mass distribution may differ. Option (B), total mass may not be equal as no it may be distributed in other axis to. For (C), if masses are different, no may be different and for (D), to be the centre of mass at origin we should balance the sum of masses, hence it’s true.

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