Question
Find the area of the region {(x, y): y2 ≤ 4 x, 4x2 + 4 y2 ≤ 9}
Solution
Given region is
Consider the equations
...(1)
and 
i.e., 
...(2)
From (1) and (2), we get,
curve (1) and (2) intersect in the points
From P, draw 
Here OA = 
Required area = Area of shaded region
= 2 (area of region OAPO)
= 2 [area of region OMPO + area of region MAPM]
