Question

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

• A. $\frac{1}{3}$ sq. units
• B. 1 sq. units
• C. $\frac{1}{2}$ sq. unit
• D. 2 sq. units

Answer 1

Answer: (C)

$\frac{1}{2}$ sq. unit

$y=|x|$ and $y=1-|x|$

So,the area of two triangles

$2\left(areaof△AOC\right)$ $=2(\frac{1}{2}\times 1\times \frac{1}{2})=\frac{1}{2}squnits$