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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS2 Marks
Question
Find which of the binary operations are commutative and which are associative.
State whether the following statements are true or false. Justify
If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a
✓

Answer

* being a binary operation on N.
$\therefore$ c * b = b * c
$\therefore$ (c * b) * a = (b * c) * a = a * (b * c)
Thus, a * (b * b) = (c * b) * a, therefore, the given statement is true.

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