Question

The area of the region bounded by $y=|x-1|$ and $y=1$ is

Answer 1

The given region is represented by the equations
$y=1-x,x\le 1=x-1,x\ge 1$
and $y=1;C=(2,1)$ and $B=(0,1)$
$\therefore$ The shaded area in the figure$=\frac{1}{2}.BC.AD$
$=\frac{1}{2}.2.1=1$.sq.unit