\(\text{If} \begin{vmatrix} 1 & x & x^2 \\ x & x^2 & 1 \\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\ 0 & x - x^3 & x^3 - 1 \\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}\)
\(\text{If} \begin{vmatrix} 1 & x & x^2 \\ x & x^2 & 1 \\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\ 0 & x - x^3 & x^3 - 1 \\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}\)
- △=-9
- △=7
- △=49
- △= 343
The Correct Option is C
Solution and Explanation
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