A) Not reflexive, symmetric and transitive
B) Reflexive, symmetric and not transitive
C) Reflexive, symmetric and transitive
D) Reflexive, not symmetric and transitive
Correct Answer: B
Solution :
[b] Clearly, \[\left( x,x \right)\in R\,\forall \,x\in W\]. So, R is reflexive. Let \[\left( x,y \right)\in R,\] then \[\left( y,x \right)\in R\] as x and y have at least one letter in common. So, R is symmetric. But R is not transitive as common alphabet between words x and y and that between y and z may not be the same.You need to login to perform this action.
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