JEE Main 2009 Mathematics question on Conic Sections

The line passing through the extremity $A$ of the major axis and extremity $B$ of the minor axis of the ellipse $x^2 + 9y^2 = 9$ meets its auxiliary circle at the point $M$. Then, the area (insqunits) of the triangle with vertices at $A$, $M$ and the origin $O$ is