A) \[f(x)+f(-x)=0\]
B) \[f(x)-f(-x)=0\]
C) \[f(x)+f(-x)=2\]
D) None of these
Correct Answer: A
Solution :
[a] \[f(x)=\left| \begin{matrix} {{2}^{-x}} & {{2}^{x}} & {{x}^{2}} \\ {{2}^{-3x}} & {{2}^{3x}} & {{x}^{4}} \\ {{2}^{-5x}} & {{2}^{5x}} & 1 \\ \end{matrix} \right|\] \[\therefore f(-x)\left| \begin{matrix} {{2}^{x}} & {{2}^{-x}} & {{x}^{2}} \\ {{2}^{3x}} & {{2}^{-3x}} & {{x}^{4}} \\ {{2}^{5x}} & {{2}^{-5x}} & 1 \\ \end{matrix} \right|=-f(x)\]You need to login to perform this action.
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