Consider the following equation in a $2-\text{D}$ real-space.
$\left|x_{1}\right|^{p}+\left|x_{2}\right|^{p}=1 \text { for } p>0$
Which of the following statement(s) is/are true?
- When $p=2$, the area enclosed by the curve is $\pi$.
- When $p$ tends to $\infty$, the area enclosed by the curve tends to $4.$
- When $p$ tends to $0,$ the area enclosed by the curve is $1.$
- When $p=1$, the area enclosed by the curve is $2.$