If the tangent at a point on the ellipse \(\dfrac {x^{2}}{27} + \dfrac {y^{2}}{3} = 1\) 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:

1
\(\dfrac {9}{2}\)
2
\(9\)
3
\(3\sqrt {3}\)
4
\(9\sqrt {3}\)

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