JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If the sets A and B are defined as \[A=\{(x,\,y):y={{e}^{x}},\,x\in R\}\]; \[B=\{(x,\,y):y=x,\,x\in R\},\] then [UPSEAT 1994, 99, 2002]

    A) \[B\subseteq A\]

    B) \[A\subseteq B\]

    C) \[A\cap B=\varphi \]

    D) \[A\cup B=A\]

    Correct Answer: C

    Solution :

    Since, \[y={{e}^{x}}\] and \[y=x\] do not meet for any \[x\in R\] \[\therefore \] \[A\cap B=\varphi \].


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