JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    If \[A=\{1,2\},B=\{1,3\},\] then \[(A\times B)\cup (B\times A)\] is equal to

    A) \[\{(1,3),(2,3),(3,1),(3,2),(1,1),(2,1),(1,2)\}\]

    B) \[\{(1,3),(3,1)(3,2),(2,3)\}\]

    C) \[\{(1,3),(2,3),(3,2),(1,1)\}\]

    D) None of these

    Correct Answer: A

    Solution :

    [a] \[A\times B=\{1,2\}\times \{1,3\}=\{(1,1),(1,3),(2,1),(2,3)\}\] \[B\times A=\{1,3\}\times \{1,2\}=\{(1,1),(1,2),(3,1),(3,2)\}\] \[\therefore (A\times B)\cup (B\times A)\] \[=\{(1,1),(1,3),(2,1),(2,3),(1,2),(3,1),(3,2)\}\]


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