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Select and write the correct answer from the given alternatives in each of the following:If `a!=b!=c!=0` such that `|(a^3-1,b^3-1,c^3-1),(a,b,c),(a^2,b^2,c^2)|=0`

A

ab+bc+ca=0

B

a+b+c=0

C

abc=1

D

a+b+c=1

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