question_answer

\[\left| \,\begin{matrix}    {{({{a}^{x}}+{{a}^{-x}})}^{2}} & {{({{a}^{x}}-{{a}^{-x}})}^{2}} & 1  \\    {{({{b}^{x}}+{{b}^{-x}})}^{2}} & {{({{b}^{x}}-{{b}^{-x}})}^{2}} & 1  \\    {{({{c}^{x}}+{{c}^{-x}})}^{2}} & {{({{c}^{x}}-{{c}^{-x}})}^{2}} & 1  \\ \end{matrix}\, \right|=\][UPSEAT 2002; AMU 2005]

A) 0

B) \[2abc\]

C) \[{{a}^{2}}{{b}^{2}}{{c}^{2}}\]

D) None of these