MCQ
The binary operation $\times $ defind on set $R,$ given by $\text{a}\times\text{b}=\frac{\text{a}+\text{b}}{2}$ for all $a, b \in R$ is:
- ✓Commutative.
- BAssociative.
- CBoth $(a)$ and $(b).$
- DNone of these.
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(whre $\operatorname{sgn} x$ denotes signum function of $x$). Then
which one of the following is correct ?