Write the identity element for the binary operation * on the set R 0 of all non-zero real numbers by the rule for all a, b ∈ R 0 .

Question

Philoid · Accepted Answer

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.