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JEE Main & Advanced Mathematics Relations Question Bank Mock Test - Relations and Functions

  • question_answer
    Let \[R=\left\{ \left( 1,3 \right),\left( 4,2 \right),\left( 2,4 \right),\left( 2,3 \right),\left( 3,1 \right) \right\}\] be a relation on the set \[A=\left\{ 1,2,3,4 \right\}.\]The relation R is

    A) a function         

    B) reflexive

    C) not symmetric

    D) transitive

    Correct Answer: C

    Solution :

    [c] Let R={(1, 2),(4, 2),(2, 3),(3, 1)} be a relation on the set A = {1, 2, 3, 4}. Since (2, 4)\[\in \]R and (3, 2) \[\in \]R, R is not a function. Since (1, 3)\[\in \]R and (3, 1)\[\in \]R, but (1, 1)\[\notin \]R, R is not transitive. Since (2, 3)\[\in R\] but (3, 2)\[\notin R\], R is not symmetric. Since (4, 4)\[\notin R\], R is not reflexive.


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