The circle $S_1$ has centre $(1,2)$ and radius 3,the circle $S_2$ has centre at $(9,8)$ and radius 7.The circle $S_1$ and $S_2$ touch at the point whose coordinates are

Question

$\begin{array}{1 1}\big(\large\frac{17}{5},\frac{19}{5}\big)\\\big(\large\frac{33}{5},\frac{31}{5}\big)\\\big(\large\frac{17}{10},\frac{19}{10}\big)\\\big(\large\frac{33}{10},\frac{31}{10}\big)\end{array} $