Question:
\(\text{If} \begin{vmatrix} 1 & x & x^2 \\ x & x^2 & 1 \\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\ 0 & x - x^3 & x^3 - 1 \\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}\)
\(\text{If} \begin{vmatrix} 1 & x & x^2 \\ x & x^2 & 1 \\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\ 0 & x - x^3 & x^3 - 1 \\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}\)
Updated On: Oct 7, 2024
- △=-9
- △=7
- △=49
- △= 343
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The Correct Option is C
Solution and Explanation
The correct option is (C): △=49
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