QJEEM25Ma5426: JEE Main 2025 Mathematics - Class 11 JEEM25Ma5426 Solution: Let and . If or , then is :

Let $\mathrm{A}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x+y| \geqslant 3\}$ and $\mathrm{B}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x|+|y| \leq 3\}$ . If $\mathrm{C}=\{(x, y) \in \mathrm{A} \cap \mathrm{B}: x=0$ or $y=0\}$ , then $\sum_{(x, y) \in \mathrm{C}}|x+y|$ is :