Determinants
Oswaal
CBSE
Grade 12
Question:
If $\begin{vmatrix} 2x & 5 \\ 8 & x \end{vmatrix} = \begin{vmatrix} 6 & -2 \\ 7 & 3 \end{vmatrix}$, then $x$ is:
(a) $\pm 6$
(b) $6$
(c) $\pm 3$
(d) $3$
Step-by-Step Solution
Key Concept: 2x^2 - 40 = 18 - (-14) = 32 => 2x^2 = 72 => x^2 = 36 => x = \pm 6.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\pm 6$
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