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Question

Let A equals open curly brackets 12 comma 34 close curly brackets comma and let R equals left curly bracket open parentheses 22 close parentheses comma open parentheses 33 close parentheses comma open parentheses 44 close parentheses comma left parenthesis 12 right parenthesis right curly bracket be a relation on A. Then, R is

  1. Reflexive  
  2. Symmetric  
  3. Transitive  
  4. None of these  

The correct answer is: Transitive


    Since open parentheses 11 close parentheses not an element of R. So, R is not reflexive
    Now, left parenthesis 12 right parenthesis element of R but, open parentheses 21 close parentheses not an element of R. Therefore, R is not symmetric.
    Clearly, R is transitive

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