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JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let\[R=\{(3,\,3),\ (6,\ 6),\ (9,\,9),\ (12,\,12),\ (6,\,12),\ (3,\,9),(3,\,12),\,(3,\,6)\}\] be a relation on the set \[A=\{3,\,6,\,9,\,12\}\]. The relation is [AIEEE 2005]

    A) An equivalence relation

    B) Reflexive and symmetric only

    C) Reflexive and transitive only

    D) Reflexive only

    Correct Answer: C

    Solution :

    Here (3, 3), (6, 6), (9, 9), (12, 12), [Reflexive]; (3, 6), (6, 12), (3, 12), [Transitive]. Hence, reflexive and transitive only.


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