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in Determinants by (26.9k points)
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Mark the correct alternative in the following :

If \(\begin{vmatrix} 2x & 5 \\[0.3em] 8 & x \\[0.3em] \end{vmatrix}\) = \(\begin{vmatrix} 6 & -2 \\[0.3em] 7 & 3 \\[0.3em] \end{vmatrix}\), then x =

A. 3 

B. ± 3 

C. ± 6 

D. 6

1 Answer

+1 vote
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Best answer

Correct answer : (C)

\(\begin{vmatrix} 2x & 5 \\[0.3em] 8 & x \\[0.3em] \end{vmatrix}\) = \(\begin{vmatrix} 6 & -2 \\[0.3em] 7 & 3 \\[0.3em] \end{vmatrix}\) 

2x2 - 40 = 18+14 

x = ± 6

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