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MCQEasyJEE Main 2025 · 7 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

Let A={(α,β)∈R×R:∣α−1∣≤4 and ∣β−5∣≤6}A = \left\{(\alpha, \beta) \in \mathbb{R} \times \mathbb{R} : |\alpha - 1| \leq 4 \text{ and } |\beta - 5| \leq 6\right\} and B={(α,β)∈R×R:16(α−2)2+9(β−6)2≤144}B = \left\{(\alpha, \beta) \in \mathbb{R} \times \mathbb{R} : 16(\alpha - 2)^2 + 9(\beta - 6)^2 \leq 144\right\}. Then:

  • A

    B⊂AB \subset A

  • B

    A∪B={(x,y):−4≤x≤4,−1≤y≤11}A \cup B = \{(x, y) : -4 \leq x \leq 4, -1 \leq y \leq 11 \}

  • C

    neither A⊂BA \subset B nor B⊂AB \subset A

  • D

    A⊂BA \subset B

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