JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is [AIEEE 2004]

    A) Reflexive

    B) Transitive

    C) Not symmetric

    D) A function

    Correct Answer: C

    Solution :

    Given A = {1, 2, 3, 4} R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} (2, 3) Î R but (3, 2) Ï R. Hence R is not symmetric. R is not reflexive as (1, 1) Ï R. R is not a function as (2, 4) Î R and (2, 3) Î R. R is not transitive as (1, 3) Î R and (3, 1) Î R but (1, 1) Ï R.


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