If \[{{f}_{n}}(x)\], \[{{g}_{n}}(x)\], \[{{h}_{n}}(x),n=1,\,2,\,3\]are polynomials in x such that \[{{f}_{n}}(a)={{g}_{n}}(a)={{h}_{n}}(a),n=1,2,3\] and \[F(x)=\left| \begin{matrix} {{f}_{1}}(x) & {{f}_{2}}(x) & {{f}_{3}}(x) \\ {{g}_{1}}(x) & {{g}_{2}}(x) & {{g}_{3}}(x) \\ {{h}_{1}}(x) & {{h}_{2}}(x) & {{h}_{3}}(x) \\ \end{matrix} \right|\]. Then \[{F}'(a)\]is equal to

• A.            0
• B.            \[{{f}_{1}}(a){{g}_{2}}(a){{h}_{3}}(a)\]
• C.            1
• D.            None of these