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JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1
Let AA and BB be two sets defined as given below:
A={(x,y):∣x−3∣<1A=\{(x, y):|x-3|<1 and ∣y−3∣<1}|y-3|<1\}

B={(x,y):4x2+9y2−32x−54y+109≤0}B=\left\{(x, y): 4 x^2+9 y^2-32 x-54 y+109 \leq 0\right\}
Then
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Correct option: A
A⊂BA \subset B
Option A (A⊂BA \subset B) is correct because the region defined by A (a square) is entirely contained within the region defined by B (an ellipse).

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