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Question

Let A={1,2,3} and R,S be two relations on A given by R={(1,1),(2,2),(3,3),(1,2),(2,1)},S={(1,1),(2,2),(3,3),(2,3),(3,2)} then RS is
  1. Reflexive, symmetric and transitive relation
  2.  reflexive and transitive relation only
  3. Reflexive relation but not Symmetric relation 
  4.  not a transitive relation


Solution

The correct option is D  not a transitive relation
RS={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}
 
   It is reflexive, symmetric but not transitive because (1,2),(2,3)RS but (1,3)RS.

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