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Question
Let * be the binary operation defined on Q. Find which of the following binary operations are commutative
a * b = a2 + b2 ∀ a, b ∈ Q
Sum
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Solution
Given that * is a binary operation defined on Q.
a * b = a2 + b2
b * a = b2 + a2
Thus, * is commutative.
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Chapter 1: Relations And Functions - Exercise [Page 13]
