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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    Let R be an equivalence relation defined on a set containing 6 elements. The minimum number or ordered pairs that R should contain is

    A) \[12\]                                   

    B) \[6\]    

    C) \[64\]                                   

    D) \[36\]

    Correct Answer: B

    Solution :

    Given that, \[R\to \] equivalence relation on a set A Let \[A=\{a,b,c,d,e,f\}\] Since, R is an equivalence relation on set A, then it must be satisfies reflexive property, for this                 \[aRa,\,\,\forall \,\,a\,\,\in \,A\] That mean minimum number of elements in ‘R’ should be six eg,          \[R=\{(a,a),(b,b),(c,c),(d,d),(e,e),(f,f)\}\]


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