Question

The area bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is

• A. $1$
• B. $2$
• C. $2\sqrt{2}$
• D. $4$

Answer 1

The correct option is B $2$

The two curves given $y=|x|-1$ and $y=-|x|+1$ form a square with lines as $y=x+1,y=-x+1,y=x-1\&y=-x-1$
The side of this square is $\sqrt{2}$ units.
Hence area bounded by the curve $=(\sqrt{2}{)}^2=2$