Let a line perpendicular to the line 2 x-y=10 touch the parabola y^2=4(x-9) at the point P. The distance of the point P from the centre of the circle…

Let a line perpendicular to the line $\displaystyle 2 x-y=10$ touch the parabola $\displaystyle y^2=4(x-9)$ at the point P . The distance of the point P from the centre of the circle $\displaystyle x^2+y^2-14 x-8 y+56=0$ is $\displaystyle \_\_\_\_$.