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Question

If R equals left curly bracket open parentheses a comma b close parentheses colon a plus b equals 4 right curly bracket is a relation on N comma then R is

  1. Reflexive  
  2. Symmetric  
  3. Antisymmetric  
  4. Transitive  

The correct answer is: Symmetric


    Clearly, R equals left curly bracket open parentheses 13 close parentheses comma open parentheses 31 close parentheses comma left parenthesis 22 right parenthesis right curly bracket
    We observe that R is symmetric only

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