Let P(3 cos α, 2 sin α), α ≠ 0, be a point on the ellipse x^2/9+y^2/4=1, Q be a point on the circle x^2+y^2-14 x-14 y+82=0 and R be a point on the…

Let $\displaystyle P(3 \cos \alpha, 2 \sin \alpha), \alpha \neq 0$, be a point on the ellipse $\displaystyle \frac{x^2}{9}+\frac{y^2}{4}=1, Q$ be a point on the circle $\displaystyle x^2+y^2-14 x-14 y+82=0$ and R be a point on the line $\displaystyle x+y=5$ such that the centroid of the triangle PQR is $\displaystyle \left(2+\cos \alpha, 3+\frac{2}{3} \sin \alpha\right)$. Then the sum of the ordinates of all possible points R is: