If a b c such that vmatrix a^3-1 & b^3-1 & c^3-1 a & b & c a^2 & b^2 & c^2 vmatrix =0 then

JEE Advanced Mathematics question

If such that

then

Answer: (C)

Split the first row:

Δ = + .

In the first, take out of the columns: \begin{vmatrix} a^2 & b^2 & c^2 \\ 1&1&1 \\ a&b&c\end{vmatrix}$ =

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Question ID VK-108248