Question
Find the area of the region bounded by the ellipse
Solution
The equation of ellipse is

or
or
...(1)
(in the first quadrant)
The ellipse is symmetrical about both the axes.
∴ required area = 4 (area AOB)
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or

or


(in the first quadrant)
The ellipse is symmetrical about both the axes.
∴ required area = 4 (area AOB)



