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JEE MATHEMATICS MCQ: SET THEORY

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If the sets AA and BB are defined as:
A={(x,y):y=ex,x∈R}B={(x,y):y=x,x∈R}, then \begin{aligned} & A=\left\{(x, y): y=e^x, x \in R\right\} \\ & B=\{(x, y): y=x, x \in R\}, \text { then } \end{aligned}
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Correct option: C
A∩B=ϕA \cap B=\phi
Option C (A∩B=ϕA \cap B = \phi) is correct because the graphs of y=exy = e^x and y=xy = x do not intersect, meaning there are no common points.

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