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# The minimum area of triangle formed by the tangent to the ellipse $\large\frac{x^2}{a^2} +\frac{y^2}{b^2}$$=1$ and coordinating axes is :

$\begin{array}{1 1} ab \\ \frac{a^2+b^2}{2} \\ \frac{(a+b)^2}{2} \\ \frac{a^2+ab+b^2}{3} \end{array}$