If | x 2 18 x | = | 6 2 18 6 | , then the value of x is:

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Solution

Q.
If $| \begin{matrix} x & 2 \\ 18 & x \end{matrix} |$ $=$ $| \begin{matrix} 6 & 2 \\ 18 & 6 \end{matrix} |$ $,$ then the value of $x$ is:

1 $\pm 2$

2 $0$

3 $\pm 3$

4 $\pm 6$

Ans.
(4)

Ans. $\pm 6$

Explanation:

$∵$ $| \begin{matrix} x & 2 \\ 18 & x \end{matrix} |$ $=$ $| \begin{matrix} 6 & 2 \\ 18 & 6 \end{matrix} |$

$\Rightarrow$ $x^{2} - 36 = 36 - 36$

$\Rightarrow$ $x^{2} - 36 = 0$

$\Rightarrow$ $x = \pm 6$

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