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Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x ...

Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0
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  • A 2
  • B 4
  • C √3
  • D √2
  • E 1
Correct Answer: Option A
Explanation:
x(x2 - 1) - x = 0
= x3 - 2x = 0
x(x2 - 2) = 0
x = 2

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