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Area (in sq. units) of the region outside \( \frac{|\mathrm{x}|}{2}+\frac{|\mathrm{y}|}{3}=1 \) and inside the ellipse \…

Q1

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


[JEE Main 2020, 2 Sep (Shift 1)]

a

\( 3(4-\pi) \)

b

\( 6(\pi-2) \)

c

\( 6(4-\pi) \)

d

\( 3(\pi-2) \)

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