JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002Let A={(x,y)∈R×R:∣x+y∣⩾3}\mathbf{A}=\{(x, y) \in \mathbf{R} \times \mathbf{R} : |x+y| \geqslant 3\}A={(x,y)∈R×R:∣x+y∣⩾3} and B={(x,y)∈R×R:∣x∣+∣y∣≤3}\mathbf{B}=\{(x, y) \in \mathbf{R} \times \mathbf{R} : |x|+|y| \leq 3\}B={(x,y)∈R×R:∣x∣+∣y∣≤3}. If C={(x,y)∈A∩B:x=0 or y=0}\mathbf{C}=\{(x, y) \in \mathbf{A} \cap \mathbf{B} : x=0 \text{ or } y=0\}C={(x,y)∈A∩B:x=0 or y=0}, then ∑(x,y)∈C∣x+y∣\sum_{(x, y) \in \mathbf{C}}|x+y|∑(x,y)∈C∣x+y∣ is:AOption A. 15BOption B. 24COption C. 18DOption D. 12CheckSkip · show solution
