For the binary operation ∗ on Z⁺ defined by a ∗ b = LCM(a, b), the identity element is: A. 0 B. 1 C. a D. does not exist Answer: B) 1 Explanation: LCM(a, 1) = a for all a. LCM(1, a) = a. So 1 is the identity. 0 is not in Z⁺. No other number works for all a.

imo class 12 relations and functions

For the binary operation ∗ on Z⁺ defined by a ∗ b = LCM(a, b), the identity element is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

For the binary operation ∗ on Z⁺ defined by a ∗ b = LCM(a, b), the identity element is:

Answer: B) 1

Explanation: LCM(a, 1) = a for all a. LCM(1, a) = a. So 1 is the identity. 0 is not in Z⁺. No other number works for all a.