Q. 153.5( 2 Votes )
A binary operation * is defined on the set R of all real numbers by the rule for all a, b ∈ R. Write the identity element for * on R.
The given binary operation is a*b =
We have to find the identity element for the above relation.
Let that element be e.
∴ From the definition of identity element ,
a*e = a
∴ = a
Squaring both sides, we get,
∴ e = 0
Thus, the identity element for this operation is 0.
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