^{2}/9 + y

^{2}/2 = 1 intersects the circle x

^{2}+ y

^{2}= 9 at the points P and Q. It is known that R is a point on the circle x

^{2}+ y

^{2}= 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.