MCQ
જો $f(\alpha) =\begin{vmatrix}1&\alpha&\alpha^2\\\alpha&\alpha^2&1\\\alpha^2&1&\alpha\end{vmatrix}$ હોય, તો $f\left( {\sqrt[3]{3}} \right) = ...............$
- ✓$-4$
- B$4$
- C$2$
- D$-2$
$f(\alpha)=\alpha ^3-1-\alpha(\alpha^2-\alpha^2)+\alpha^2(\alpha-\alpha^4)$
$f(\alpha)=\alpha^3-1+\alpha^3-\alpha^6$
$(\sqrt[3]{3})=3-1+3-9$
$=-4$
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(કે જ્યાં $C$ એ સંકલનનો અચળાંક છે.)