Question

What is the area of a plane figure bounded by the points of the lines max (x, y) = 1 and x² + y² = 1? 

(A) 1− π/2 sq. units 

(B) 1 − π/3 sq. units 

(C) 1 − π/4 sq. units 

(D) 1 − π sq. units

Answer 1

Answer is (C) 1 − π/4 sq. units

See Fig.

By definition, the lines max, (x, y) = 1 means x = 1 and y ≤ 1 or y = 1 and x ≤ 1

Required area is