If \[\begin{vmatrix}3x & 7 \\ - 2 & 4\end{vmatrix} = \begin{vmatrix}8 & 7 \\ 6 & 4\end{vmatrix}\] , find the value of x.

\[\begin{vmatrix}3x & 7 \\ - 2 & 4\end{vmatrix} = \begin{vmatrix}8 & 7 \\ 6 & 4\end{vmatrix}\] \[ \Rightarrow 12x + 14 = 32 - 42\] \[ \Rightarrow 12x + 14 = - 10\] \[ \Rightarrow 12x = - 24\] \[ \Rightarrow x = - 2\] \[ \therefore x = - 2 .\]

If ∣ ∣ ∣ 3 X 7 − 2 4 ∣ ∣ ∣ = ∣ ∣ ∣ 8 7 6 4 ∣ ∣ ∣ , Find the Value of X. - Mathematics

प्रश्न

If $| \begin{matrix} 3 x & 7 \\ - 2 & 4 \end{matrix} | = | \begin{matrix} 8 & 7 \\ 6 & 4 \end{matrix} |$ , find the value of x.

उत्तर

$| \begin{matrix} 3 x & 7 \\ - 2 & 4 \end{matrix} | = | \begin{matrix} 8 & 7 \\ 6 & 4 \end{matrix} |$
$\Rightarrow 12 x + 14 = 32 - 42$
$\Rightarrow 12 x + 14 = - 10$
$\Rightarrow 12 x = - 24$
$\Rightarrow x = - 2$
$∴ x = - 2 .$

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Applications of Determinants and Matrices

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Q 47 Q 46 Q 48

अध्याय 6: Determinants - Exercise 6.6 [पृष्ठ ९२]

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अध्याय 6 Determinants
Exercise 6.6 | Q 47 | पृष्ठ ९२

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If ∣ ∣ ∣ 3 X 7 − 2 4 ∣ ∣ ∣ = ∣ ∣ ∣ 8 7 6 4 ∣ ∣ ∣ , Find the Value of X. - Mathematics

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If ∣ ∣ ∣ 3 X 7 − 2 4 ∣ ∣ ∣ = ∣ ∣ ∣ 8 7 6 4 ∣ ∣ ∣ , Find the Value of X. - Mathematics

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