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Jee Main 2025 — Medium JEE math MCQ

Let \( A = \{(x, y) \in \mathbb{R} \times \mathbb{R} : |x + y| \geq 3\} \) and \( B = \{(x, y) \in \mathbb{R} \times \mathbb{R} : |x| + |y| \leq 3\} \). If \( C = \{(x, y) \in A \cap B : x = 0 \text{ or } y = 0\} \), then \( \sum_{(x, y) \in C} |x + y| \) is
  1. A. 15
  2. B. 24
  3. C. 18
  4. D. 12

Solution

The correct option is **D**. (D. 12)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let A={(x,y)∈R×R:∣x+y∣≥3} A = \{(x, y) \in \mathbb{R} \times \mathbb{R} : |x + y| \geq 3\} and B={(x,y)∈R×R:∣x∣+∣y∣≤3} B = \{(x, y) \in \mathbb{R} \times \mathbb{R} : |x| + |y| \leq 3\} . If C={(x,y)∈A∩B:x=0 or y=0} C = \{(x, y) \in A \cap B : x = 0 \text{ or } y = 0\} , then ∑(x,y)∈C∣x+y∣ \sum_{(x, y) \in C} |x + y| is
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