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

Question

Aicharya · Accepted Answer

The given curves are $ \begin{aligned} & y-1=-|x| \\ & y+1=|x| \end{aligned} $

Here, $\mathrm{AC}=\sqrt{1+1}=\sqrt{2}$ Area of ACBD $=4$ Area of AOC $=4 \times \frac{1}{2} \times O \mathrm{OAOC}=4 \times \frac{1}{2} \times 1 \times 1=2$ $\therefore$ Area of the required bounded region is 2

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

Solution