JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002Let A={(α,β)∈R×R:∣α−1∣≤4 and ∣β−5∣≤6}A = \{(\alpha, \beta) \in \mathbb{R} \times \mathbb{R} : |\alpha - 1| \le 4 \text{ and } |\beta - 5| \le 6\}A={(α,β)∈R×R:∣α−1∣≤4 and ∣β−5∣≤6} and B={(α,β)∈R×R:16(α−2)2+9(β−6)2≤144}B = \{(\alpha, \beta) \in \mathbb{R} \times \mathbb{R} : 16(\alpha - 2)^2 + 9(\beta - 6)^2 \le 144\}B={(α,β)∈R×R:16(α−2)2+9(β−6)2≤144}. Then:AOption A. B⊂AB \subset AB⊂ABOption B. A∪B={(x,y):−4≤x≤4, −1≤y≤11}A \cup B = \{(x, y) : -4 \le x \le 4,\; -1 \le y \le 11\}A∪B={(x,y):−4≤x≤4,−1≤y≤11}COption C. neither A⊂BA \subset BA⊂B nor B⊂AB \subset AB⊂ADOption D. A⊂BA \subset BA⊂BCheckSkip · show solution
