The Number Of All Possible Triplets  such That  for All x is :

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Question

The number of all possible triplets  such that  for all x is :

Solution

Correct option is

Infinite

 

We have, 

      

  

   which is zero for all value of ‘x’ : 

  

    

For any k  R. 

Hence the required no. of triplets is infinite.

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