Question

The binary operation * defind on set R, given by a * b = a + b / 2 for all a,b E R is……​

Answer 1

Answer:

A binary operation * is defined on the set R of all real numbers by the rule a⋅b=√a2+b2 for all a, b∈R

Answer 2

A binary operation * is defined on the set R of all real numbers by the rule a⋅b=√a2+b2 for all a, b∈R.

A binary operation * is defined on the set

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: R$

of all real numbers by the rule

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: . \: b = \sqrt{ {a}^{2} + { {b}^{2} } \: }$

for all

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a, b∈R$

Write the identity element for * on

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ R$