1.

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

A. \(\rm \frac{{\left( {\pi - 2} \right)ab}}{2}\)
B. \(\rm \frac{{\left( {\pi + 2} \right)ab}}{2}\)
C. \(\rm \frac{{\left( {\pi - 2} \right)ab}}{4}\)
D. \(\rm \frac{{\left( {\pi + 2} \right)ab}}{4}\)
Answer» B. \(\rm \frac{{\left( {\pi + 2} \right)ab}}{2}\)


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