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

  • question_answer
    If \[A=\{a,b,c,d\},B=\{1,2,3\},\] which of the following sets of ordered pairs are not relations from A to B?

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

    B) \[\{(b,1),(c,2),(d,1)\}\]

    C) \[\{(a,2),(b,3),(3,b)\}\]

    D) \[\{(a,1),(b,2),(c,3)\}\]

    Correct Answer: C

    Solution :

    [c] \[\{(a,1),(a,3)\}\subseteq A\times B\therefore \] This is a relation. \[\{(b,1),(c,2),(d,1)\}\subseteq A\times B\therefore \] This is a relation. \[(3,b)\notin A\times B\] \[\therefore \{(a,2),(b,3),(3,b)\}\] is not a relation from A to B, \[(a,1)(b,2)(c,3)\] is a relation from A to B.


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