question_answer

If \[A=\left| \,\begin{matrix}    1 & 1 & 1  \\    a & b & c  \\    {{a}^{3}} & {{b}^{3}} & {{c}^{3}}  \\ \end{matrix}\, \right|,B=\left| \,\begin{matrix}    1 & 1 & 1  \\    {{a}^{2}} & {{b}^{2}} & {{c}^{2}}  \\    {{a}^{3}} & {{b}^{3}} & {{c}^{3}}  \\ \end{matrix}\, \right|,C=\left| \,\begin{matrix}    a & b & c  \\    {{a}^{2}} & {{b}^{2}} & {{c}^{2}}  \\    {{a}^{3}} & {{b}^{3}} & {{c}^{3}}  \\ \end{matrix}\, \right|,\] then which relation is correct 

A) \[A=B\]

B) \[A=C\]

C) \[B=C\]

D) None of these