Q. 44.0( 81 Votes )
Find the area of the region bounded by the ellipse
It is given that equation of ellipse is
We can see that the ellipse is symmetrical about x–axis and y–axis.
∴ Area bounded by ellipse = 4 × Area of OAB
Area of ABCD =
Therefore, the required area bounded by the ellipse = 4 × 3π = 12π units.
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