The point on the circle \[(x-5)^2+(y-4)^2=4\] which is closest to the circle \[(x-1)^2+(y-1)^2=1\] is

\((3.4,2.8)\),

\((3,4)\),

\((5,2)\),

\((3.8,2.4)\).

The point on the circle \[(x-5)^2+(y-4)^2=4\] which is closest to the circle \[(x-1)^2+(y-1)^2=1\] is

\((3.4,2.8)\),

\((3,4)\),

\((5,2)\),

\((3.8,2.4)\).