Question
Find the area of the region bounded by the circle x2 + y2 = 1 and x + y = 1. Also draw a rough sketch.
Solution
Consider the equations
...(1)
and 
...(2)
From (2), y = 1 - x ...(3)
Putting this value of y in (1), we get,
circle (1) and st . line x + y = 1 intersect in the points A(1, 0) and B(0, 1).
Required area = Area of shaded region = 
