Question 25: Functions are defined respectively, by find:
Question: 26 – Let * be the binary operation defined on Q. Find which of the following binary operations are commutative.
Question: 27 – Let * be binary operation defined on R by Then the operation is:
(i) Commutative but not associative
(ii) associative but not commutative
(iii) neither commutative nor associative
(iv) both commutative and associative.
Answer: (i) is commutative but not associative.
Therefore, * is commutative.
Now, from equation (i) and (ii) it is clear that
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