Points A and B are 6 units apart How many points are equidistant fomr A and B and 2 units from A?

None. If a point is 2 units from 'A' and equidistant from 'A' and 'B', then it also has to be

2 units from 'B'.

But the shortest distance between 'A' and 'B' is 6 units, and the point on that line that's equidistant

from both of them is the point in the middle, which is 3 units from each.

So a point equidistant from 'A' and 'B' must be 3 or more units from each one. 2 units won't do it.