Area (in sq. units) of the region outside ${{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1$ and inside the ellipse ${{{x^2}} \over 4} + {{{y^2}} \over 9} = 1$ is :

Question

Area (in sq. units) of the region outside

${{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1$ and inside the ellipse ${{{x^2}} \over 4} + {{{y^2}} \over 9} = 1$ is :

$6\left( {4 - \pi } \right)$

$3\left( {4 - \pi } \right)$

$6\left( {\pi - 2} \right)$

$3\left( {\pi - 2} \right)$

Solution

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