Question:
Area (in sq. units) of the region outside $\frac{|x|}{2}+\frac{|y|}{3}=1$ and
inside the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{9}=1$ is :
Correct Option: 1
Solution:
$-4$ (Area of triangle OPQ)
$=6 \pi-4\left(\frac{1}{2} \times 2 \times 3\right)$
$=6 \pi-12=6(\pi-2)$ sq. units
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