The line x= 4 divides the area of the region bounded by y= x, y= x and x -axis (0 x 2 ) into two regions of areas A₁ and A₂ . Then A₁, A₂ equals

Step-by-step solution

Area, aligned A₁ & = ₀^ / 4 x d x & =-[ x]₀^ / 4 & =1- 1 2 = 2 -1 2 aligned and area, A₂= _ / 4 ^ / 2 x d x aligned & =[ x]_ / 4 ^ / 2 = [1- 1 2 ]= 2 -1 2 & A₁: A₂= 2 -1 2 : 2 -1 2 =1: 1 & aligned