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State whether the relation defined on …

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State whether the relation defined on the set z as R={(a, b) :a=b}where a, b€z is an equivalence relation

    • Posted by Sanam Sahu 1 year, 5 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Arun Singh 1 year, 5 months ago

    Yes, it is an equivalence relation . Because For Reflexive a=b. So (a,a)€R And for symmetric (a,b)€R, a=b Then (b,a) €R For transitive (a,b)€R a=b -1 (b,c)€R b=c -2 From eq 1 and 2 a=c Then (a,c)€R So it is an equivalence relation

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