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JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    if the sets A and B are defined as A=\[\{(x,y)|y=1/x,x\ne 0,x\in R\}\]  B=\[\{(x,y)|y=-x,x\in R\}\] Then

    A) \[A\cap B=A\]               

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

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

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

    Correct Answer: C

    Solution :

    [c] For \[A\cap B.\]we have  \[-x=\frac{1}{x}\] \[\Rightarrow \]   \[-{{x}^{2}}=1\] \[\Rightarrow \]   \[{{x}^{2}}=-1\], which is not possible \[\therefore \,A\cap B=\phi \]                   


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