CBSE Class 12 · 2022 · Area Under CurvesLong Answer

The graph $y=|x-1|$ is a V with vertex $(1,0)$; the horizontal line $y=1$ meets it where $|x-1|=1$, i.e. $x=0$ and $x=2$.
The bounded region is the triangle with vertices $(0,1)$, $(2,1)$ and $(1,0)$, with $y=1$ on top and $y=|x-1|$ below:

Hence the required area is $1$ square unit.