Let the ellipse E: x^2+9 y^2=9 intersect the positive x - and y -axes at the points A and B respectively. Let the major axis of E be a diameter of…

Let the ellipse $\displaystyle E: x^2+9 y^2=9$ intersect the positive $\displaystyle x$ - and $\displaystyle y$-axes at the points A and B respectively. Let the major axis of $\displaystyle E$ be a diameter of the circle C . Let the line passing through A and B meet the circle C at the point P . If the area of the triangle with vertices $\displaystyle \mathrm{A}, \mathrm{P}$ and the origin O is $\displaystyle \frac{m}{n}$, where $\displaystyle m$ and $\displaystyle n$ are coprime, then $\displaystyle m-n$ is equal to