A = (0, 0), B = (4, 0), C = (0, 6) are the three centres of three circles of equal radii which do not touch externally pairwise, then the radical centre of the circles is

$$\begin{gathered} \mathrm{A},\mathrm{B},\mathrm{C} \mathrm{are} \mathrm{centres} \mathrm{of} \mathrm{three} \mathrm{circles} \mathrm{of} \mathrm{equal} \mathrm{radii} \mathrm{which} \\ \mathrm{do} \mathrm{not} \mathrm{touch} \mathrm{externally} \mathrm{pairwise}. \\ \mathrm{The} \mathrm{radical} \mathrm{centre} \mathrm{of} \mathrm{these} \mathrm{circles} \mathrm{is} \mathrm{circum} \mathrm{centre} \mathrm{of} \mathrm{triangle} \mathrm{ABC} \\ \mathrm{radical} \mathrm{centre} \\ =\mathrm{mid}-\mathrm{point} \mathrm{of} \overline{BC} \\ =(2,3) \end{gathered}$$