class 12 maths relations and functions

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.

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#Relations and Functions#NCERT#SA#Class 12 Maths
📘 Relations and Functions NCERT Ex. 1.4,Q.7, Page 25 SA

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.

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

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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