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Binary relation on a set

 

1.  A relation R on A is called

 

(i)                reflexive, if a R a V

 

(ii)              symmetric, if a R b Þ b R a

 

(iii) transitive, if a R b, b R c Þ a R c

 

Ex.– “is parallel to”, “is equal to” is example of reflexive symmetric transitive relations.

 

 


2.  Equivalence relation – A relation which is reflexive, symmetric and transitive is called an equivalence relation.

 





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