Two bodies A and B initially at rest are...

Two bodies `A and B` initially at rest are attrached towards each other due to gravitation. Given that `A` is much heavier than `B`. Which of the followings correctly describes the relative motion of the centre of mass of the bodies ?

It moves towards A

It moves towards B

It moves perpendicular to the line joining the particles

It remains at rest w.r.t A as well as B.

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