It's kinda tough, since we don't know the actual numerical locations of the points, only an approximate picture.
The big ball has 11 times the mass of the small ball, so the small ball is 11 times as far from the barycenter as the big ball is.
If any of the points is marked at the actual barycenter, it can only be point-A .
Hi!
Convex mirrors always form virtual images regardless of object position and the image is formed behind the mirror in both cases I.e. at infinity and between infinity and the pole. The image is diminished in both the cases.
Concave mirrors form a virtual image when the object is placed in between the Principal focus and the Pole and the image is formed behind the mirror. The virtual image is enlarged in this case. In all other object positions I.e. at infinity, beyond Center of curvature, at Center,between centre of curvature and principal focus and at principal focus, a real and an inverted image of the object is formed.
The ray diagrams for all the positions for the object in concave and convex mirrors are given below:
A)It moved 6 meters.
B)It would 3 meters.
I think this is the answer.
Have a good day.