If \[a,b,c\] are different and \[\left| \,\begin{matrix} a & {{a}^{2}} & {{a}^{3}}-1 \\ b & {{b}^{2}} & {{b}^{3}}-1 \\ c & {{c}^{2}} & {{c}^{3}}-1 \\ \end{matrix}\, \right|=0\], then [EAMCET 1989]

If \[a,b,c\] are different and \[\left| \,\begin{matrix} a & {{a}^{2}

1.	If \[a,b,c\] are different and \[\left\| \,\begin{matrix} a & {{a}^{2}} & {{a}^{3}}-1 \\ b & {{b}^{2}} & {{b}^{3}}-1 \\ c & {{c}^{2}} & {{c}^{3}}-1 \\ \end{matrix}\, \right\|=0\], then [EAMCET 1989]
A.	\[a+b+c=0\]
B.	\[abc=1\]
C.	\[a+b+c=1\]
D.	\[ab+bc+ca=0\]
Answer» C. \[a+b+c=1\]

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If \[a,b,c\] are different and \[\left| \,\begin{matrix} a & {{a}^{2}} & {{a}^{3}}-1 \\ b & {{b}^{2}} & {{b}^{3}}-1 \\ c & {{c}^{2}} & {{c}^{3}}-1 \\ \end{matrix}\, \right|=0\], then [EAMCET 1989]

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