Let the centre of a circle, passing through the points (0,0),(1,0) and touching the circle x^2+y^2=9, be ( h, k ). Then for all possible values of…

Let the centre of a circle, passing through the points $\displaystyle (0,0),(1,0)$ and touching the circle $\displaystyle x^2+y^2=9$, be $\displaystyle (\mathrm{h}, \mathrm{k})$. Then for all possible values of the coordinates of the centre $\displaystyle (\mathrm{h}, \mathrm{k}), 4\left(\mathrm{~h}^2+\mathrm{k}^2\right)$ is equal to $\displaystyle \_\_\_\_$.