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JEE MATHEMATICS MCQ: SET THEORY

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Analyzing +4 | -1
If A={(x,y):y2=x;x,y∈R}A = \left\{ {\left( {x,y} \right):{y^2} = x;x,y \in R} \right\} and
B={(x,y):y=∣x∣;x,y∈R},B = \left\{ {\left( {x,y} \right):y = \left| x \right|;x,y \in R} \right\}, then
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Correct option: D
A∩BA \cap B contains three elements only
Option D (A∩BA \cap B contains three elements only) is correct because the graphs of y2 = x and y = |x| intersect at three points: (0, 0), (1, 1), and (1, -1).

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