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  • Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find the identity of ∗ in N

Q.6 Let ∗ be the binary operation on N given by a* b = L.C.M.\; of \;a\; and \;b. Find 

(iv) the identity of ∗ in N

Answers (1)

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a* b = L.C.M.\; of \;a\; and \;b

(iv) the identity of ∗ in N

We know that  L.C.M.\; of \;a\; and \;1 = a = L.C.M.\; of 1\, \, and \;a\;

     \therefore            a*1=a=1*a   for a \in N

Hence, 1 is the identity of ∗ in N.

 

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seema garhwal

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