Question

Area of the region bounded by $y=|x|$ and $y=-|x|+2$ is

• A. $4$ sq. units
• B. $3$ sq. units
• C. $2$ sq. units
• D. $1$ sq. units

Answer 1

The correct option is C $2$ sq. units

The given equations $y=|x|$ and $y=-|x|+2$ can be represented as :

$OABC$ is a square.
The length of the side is $\sqrt{2}$ units.
Therefore, the area of $OABC$ is $\sqrt{2}\times \sqrt{2}=2.$