Question

The area of the region bounded by $|y|\le |x|\le 1$ is

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

Answer 1

The correct option is A $2$

$|y|\le |x|\le 1$
So, $|y|\le 1$, $|x|\le 1$ and $|y|\le |x|$


The required area will be $=4\times (\frac{1}{2}\times 1\times 1)=2$