Relations and Functions — Class 12 Maths Solution

ncert exercise SA NCERT Ex. 1.4,Q.7, Page 25
Question

Is $*$ defined on the set $\{1, 2, 3, 4, 5\}$ by a $*$ b$=$L.C.M. of a and b a binary operation? Justify your answer.

Step-by-step Solution

Let A $= \{1, 2, 3, 4, 5\}$ and a $*$ b $=$ L.C.M. of a and b.

2 $*$ 3 $=$ L.C.M. of 2 and 3 $=$ 6 $\notin$A

Hence, the operation $*$ is not a binary operation.

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.