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The relation R defined in A = {1, 2, 3} by a R b text  if  end text open vertical bar a to the power of 2 end exponent minus b to the power of 2 end exponent close vertical bar less or equal than 5 Which of the following is false-

  1. R ={(1, 1), (2, 2), (3, 3), (2, 1), (1, 2), (2, 3), (3, 2)    
  2. R to the power of negative 1 end exponent equals R    
  3. Domain of R = {1, 2, 3}    
  4. Range of R = {5}    

The correct answer is: Range of R = {5}


    To find the false statement from the given option for the given relation.
    R={(1,1),(2,2),(3,3),(2,1),(1,2),(2,3),(3,2)} when a=1, 2, 3.

    As we can see, R to the power of negative 1 end exponent=R

    Domain ={1,2,3} Range ={1,2,3}

    Hence, Range of R = {5} is the wrong option.

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