question_answer 13)

Find the area bounded by curves (x – 1)2 + y2 =1and x2 + y2 = 1. 

Answer:

Given curves are       C1 : (x ? 1)2 + y2 = 1                         ?.(1)             (1)   represents a circle with C(1, 0) and r = 1 (2)   also represents a circle with C(0, 0) and r =1 (1)   and (2)  x2 + 1 ? 2x ? x2 = 0 (2)  Points of intersection are Required area = Shaded area