1.

Let ** be a binary opertion 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 + ab (iv)a ** b = (a-b) ^(2) (v) a **b = (ab)/(4) (vi) a **b =ab ^(2) Find which of the binary opertions are commutative and which are associative.

Answer»


ANSWER :(ii) , (IV) ,(V) are commutative; (v) is ASSOCIATIVE.


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