If a, b, c are all different and \[\left| \,\begin{matrix} a & {{a}^{3}} & {{a}^{4}}-1 \\ b & {{b}^{3}} & {{b}^{4}}-1 \\ c & {{c}^{3}} & {{c}^{4}}-1 \\ \end{matrix}\, \right|\] = 0 , then the value of \[abc(ab+bc+ca)\]is [Kurukshetra CEE 2002]

\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]

\[{{a}^{2}}-{{b}^{2}}+{{c}^{2}}\]

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

1.	If a, b, c are all different and \[\left\| \,\begin{matrix} a & {{a}^{3}} & {{a}^{4}}-1 \\ b & {{b}^{3}} & {{b}^{4}}-1 \\ c & {{c}^{3}} & {{c}^{4}}-1 \\ \end{matrix}\, \right\|\] = 0 , then the value of \[abc(ab+bc+ca)\]is [Kurukshetra CEE 2002]
A.	\[a+b+c\]
B.	0
C.	\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
D.	\[{{a}^{2}}-{{b}^{2}}+{{c}^{2}}\]
Answer» B. 0

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If a, b, c are all different and \[\left| \,\begin{matrix} a & {{a}^{3}} & {{a}^{4}}-1 \\ b & {{b}^{3}} & {{b}^{4}}-1 \\ c & {{c}^{3}} & {{c}^{4}}-1 \\ \end{matrix}\, \right|\] = 0 , then the value of \[abc(ab+bc+ca)\]is [Kurukshetra CEE 2002]

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