Find a point which is equidistant from the points and ? How many such points are there?
Find the point using midpoint formula.
Let point be equidistant from and
Then, point is
And points lie on perpendicular bisector to the line joining are equidistance from .
So, there are infinite points which are equidistant from
Hence, the point which is equidistant from and is . and there are infinite points.