For binary operation * defind on R – {1} such that $a * b = \frac{a}{b}+ 1$ is |
Commutative Associative Both a and b Neither a nor b |
Neither a nor b |
$a * b = \frac{a}{b}+ 1$ $b * a = \frac{b}{a}+ 1$ $a * b≠b * a$ (Not Commutative) $(a * b)* c=\frac{(\frac{a}{b}+ 1)}{c}+1$ $(a * b)* c≠a *(b* c)$ (Not Associative) $a *(b* c)=\frac{a}{(\frac{b}{c}+1)+1}$ division operation is neither associative nor commutative |