The smaller area enclosed between the ellipse \(\rm \frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1\)and the straight line \(\rm \frac{x}{a} + \frac{y}{b} = 1\) is

1
\(\rm \frac{{\left( {\pi - 2} \right)ab}}{2}\)
2
\(\rm \frac{{\left( {\pi + 2} \right)ab}}{2}\)
3
\(\rm \frac{{\left( {\pi - 2} \right)ab}}{4}\)
4
\(\rm \frac{{\left( {\pi + 2} \right)ab}}{4}\)

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