A tangent to the ellipse x2/9 + y2/2 = 1 intersects the circle x2 + y2 = 9 at the points P and Q. It is known that R is a point on the circle x2+ y2 = 9. Each of P, Q and R are located above the x-axis.
For example, the coordinates of R cannot be (3,0), since (3,0) is not located above the x axis.
Determine the maximum area of the triangle PQR.