If the tangent at a point on the ellipse $\large\frac{x^2}{27} +\frac{y^2}{3}$$=1$ meets the coordinate axes at A and B, and O is the origin, then the minimum area (in sq. units) of the triangle $OAB$ is :

Question

$\begin{array}{1 1}(1) \large\frac{9}{2} \\ (2) 3 \sqrt 3 \\ (3) 9 \sqrt 3\\ (4) 9 \end{array} $