Question: The region represented by $|x-y| \leq 2$ and $|x+y| \leq 2$ is bounded by a :
square of side length $2 \sqrt{2}$ units
rhombus of side length 2 units
square of area $16 \mathrm{sq}$, units
rhombus of area $8 \sqrt{2}$ sq. units
Correct Option: 1
Solution:
$|x-y| \leq 2$ and $|x+y| \leq 2$
Square whose side is $2 \sqrt{2}$