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JEE MATHEMATICS MCQ: SET THEORY

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Let A={(x,y):y=ex,x∈R},A = \left\{ {\left( {x,y} \right):y = {e^x},x \in R} \right\},
B={(x,y):y=e−x,x∈R}.B = \left\{ {\left( {x,y} \right):y = {e^{ - x}},x \in R} \right\}. Then,
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Correct option: B
A∩B≠ϕA \cap B \ne \phi
Option B (A∩B≠ϕA \cap B \ne \phi) is correct because the two curves y = e^x and y = e-x intersect at the point (0, 1), indicating a non-empty intersection.

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