$\begin{vmatrix} a & b& c \\ b & c &a \\ c & a & b \end{vmatrix} = 0$ then :

Question

( A ) $a^2 + b^2 +c^2 = 0$
( B ) $a+b+c=0$
( C ) $a^3 + b^3 + c^3 = 3abc$
( D ) $a^3 + b^3 + c^3 = 0$