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General
Easy

Question

Let R be a relation defined in the set of real numbers by a R b left right double arrow 1 + ab > 0. Then R is-

  1. Equivalence relation    
  2. Transitive    
  3. Symmetric    
  4. Anti-symmetric    

The correct answer is: Symmetric


    To find the type of relation R is.

    Given relation is aRb is 1+ab>0,

    Considering both a and b are real numbers,

    We know that ab=ba,
     
    aRb=1+ab>0=1+ba>0=bRa,
     
    R is a symmetric relation.
     

    Therefore, the given relation R is symmetric.

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