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Let * be a binary operation defined on Q. Find which of the following binary operations are associative a * b = abab4 for a, b ∈ Q. - Mathematics

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Question

Let * be a binary operation defined on Q. Find which of the following binary operations are associative

a * b = `"ab"/4` for a, b ∈ Q.

Sum
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Solution

* is associative since Q is associative with respect to multiplication.

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Chapter 1: Relations And Functions - Solved Examples [Page 8]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 1 Relations And Functions
Solved Examples | Q 16. (ii) | Page 8
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