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If `|[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0` and the vectors given by `A(1, a, a^(2)), B(1, b, b^(2)), C(1, c, c^(2))` are non-collinear, then `abc=`

A

`1`

B

`-1`

C

`0`

D

`3`

Text Solution

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The correct Answer is:
B
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