Correct Answer: Option A

Explanation

\(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\)

\(\implies (2 \times 9) - (-4 \times x) = 58\)

\(18 + 4x = 58 \implies 4x = 58 - 18 = 40\)

\(x = 10\)

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