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Let * be the binary operation defined on...

Let * be the binary operation defined on Q. Find which of the following binary operations are commutative
(i) `a ** b=a-b, AA a,b in Q " " ` (ii) ` a ** b=a^(2)+b^(2), AA a,b in Q`
(iii) `a ** b=a+ab, AA a,b in Q " " ` (iv) `a ** b=(a-b)^(2), AA a,b in Q`

Text Solution

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The correct Answer is:
(ii) and (iv)
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