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Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find
Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find
CBSE | Class 12 | Exercise 1.4 | Maths | NCERT | Relations and Functions
Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find
  1. Is ∗ associative?
  2. Find the identity of ∗ in N

(iii) Is ∗ affiliated?

For a,b, c ∈ N

(a ∗ b) * c = (L.C.M. of an and b) * c = L.C.M. of a, b and c a ∗ (b * c) = a * (L.C.M. of b and c) = L.C.M. of a, b and c (a ∗ b) * c = a ∗ (b * c)

Along these lines, activity ∗ cooperative.

(iv) Find the character of ∗ in N

Character of * in N = 1

since a * 1 = L.C.M. of an and 1 = a

i

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