Q1 of 123 Page 3

Write the identity element for the binary operation * on the set R0 of all non-zero real numbers by the rule for all a, b ∈ R0.

The given binary operation is a*b =

And from the definition of identity element e,


a*e = a ........(i)


We have,


a*e = ……….(ii)


Thus from (i) & (ii) ,


= a


or, = 1


∴ e = 2


Hence the identity element for this binary operation is 2.


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