Q4 of 40 Page 365

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 =







= 3π


Therefore, the required area bounded by the ellipse = 4 × 3π = 12π units.


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