If |z - 3| = min {|z - 1|, |z - 5|}, then Re(z) equals to

If |z - 3| = |z - 1|, then z lies on perpendicular bisector of line segment joining ‘1’ and ‘3’. So, Re(z) = 2.If |z - 3| = |z - 5|, then z lies on perpendicular bisector of line segment joining '3' and '4'. So, Re(z) = 4.