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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS1 Mark
Question
Find which of the binary operations are commutative and which are associative.
State whether the following statements are true or false. Justify
For an arbitrary binary operation * on a set N, $\text{a}*\text{a}=\text{a}\ \forall\text{a}\in\text{N}.$
✓

Answer

* being a binary operation on N, is defined as $\text{a}*\text{a}=\text{a}\ \forall\text{a}\in\text{N}.$
Hence operation * is not defined, therefore, the given statement is false.

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