A) reflexive
B) symmetric
C) transitive
D) equivalence
Correct Answer: B
Solution :
As R & R' are not disjoint, there is atleast one ordered pair say (a,b) in\[R\cap R'.\] But \[(a,b)\in R\cap R'\Rightarrow (a,b)\in R\And (a,b)\in R'\] As RR' are symmetric so \[(a,b)\in R(b,a)\in R'\] \[\therefore \]\[(b,a)\in R\cap R'\] Hence \[R\cap R'\]is symmetric.
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