If A and B are the points of intersection of the circle x^2+y^2-8 x=0 and the hyperbola x^2/9-y^2/4=1 and a point P moves on the line 2 x-3 y+4=0,…

If A and B are the points of intersection of the circle $\displaystyle x^2+y^2-8 x=0$ and the hyperbola $\displaystyle \frac{x^2}{9}-\frac{y^2}{4}=1$ and a point P moves on the line $\displaystyle 2 x-3 y+4=0$, then the centroid of $\displaystyle \Delta \mathrm{PAB}$ lies on the line :