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Sets and Relations question

2025 · 7 Apr · Shift 2 · Q40
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  5. /2025 · 7 Apr · Shift 2 · Q40

Sets and Relations question

2025 · 7 Apr · Shift 2 · Q40

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let A = { (α,β\alpha, \betaα,β) ∈R×R\in \mathbb{R} \times \mathbb{R}∈R×R : |α\alphaα- 1|≤4\leq 4≤4 and |β\betaβ- 5|≤6\leq 6≤6 } and B = { (α,β\alpha, \betaα,β) ∈R×R\in \mathbb{R} \times \mathbb{R}∈R×R : 16(α\alphaα-2)22)^22)2+ 9(β\betaβ-6)2≤1446)^2\leq 1446)2≤144 }. Then
  1. A
    A ⊂\subset⊂ B
  2. B
    B ⊂\subset⊂ A
  3. C
    neither A ⊂\subset⊂ B nor B ⊂\subset⊂ A
  4. D
    A∪B={(x,y):−4⩽x⩽4,−1⩽y⩽11}A \cup B=\{(x, y):-4 \leqslant x \leqslant 4,-1 \leqslant y \leqslant 11\}A∪B={(x,y):−4⩽x⩽4,−1⩽y⩽11}
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