Let `**` be a binary operation on the set Q of rational numbers as follows: (i) `a**b=a-b` (ii) `a**b=a^2+b^2` (iii) `a**b=a+a b` (iv) `a**b=(a-b)^2`
Let `**` be a binary operation on the set Q of rational numbers as follows: (i) `a**b=a-b` (ii) `a**b=a^2+b^2` (iii) `a**b=a+a b` (iv) `a**b=(a-b)^2` (v) `a*b=(a b)/4` (vi) `a**b=a b^2`. Find which of the binary operations are commutative and which are associative.
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Correct Answer - (ii),(iv),(v) are commutative
(v) is associative (v) has identify element
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