MCQEasyJEE Main 2025 · 23 January, Shift 2Sets & Operations

Mathematics Question from JEE Main 2025 · 23 January, Shift 2

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:

  • A

    1515

  • B

    1818

  • C

    2424

  • D

    1212

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Sets & Operations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Sets & Operations

Related questions