Let W denotes the words in the English dictionary. Define the relation R by R = (x, y) ∈…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Let W denotes the words in the English dictionary. Define the relation R by R = {(x, y) ∈ W × W : the words x and y have at least one letter in common}. Then, R is
  1. reflexive, symmetric and not transitive
  2. reflexive, symmetric and transitive
  3. reflexive, not symmetric and transitive
  4. not reflexive, symmetric and transitive

Answer

(A) reflexive, symmetric and not transitive

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