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The location of centre of mass is independent of the reference frame used to locate it. 
Sum of moments of masses of the system about centre of mass is zero. 
Centre of mass of system of particles depends on the masses of the particles but independent of their relative position.
In the absence of external force acceleration of centre of mass is zero.

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detailed solution

Correct option is C

Location of center of mass depends on masses and their distribution (i.e. relative position) but independent of coordinate system.

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