Question:

If \(\begin{vmatrix}x&2\\18&x\end{vmatrix}=\begin{vmatrix}6&2\\18&6\end{vmatrix}\),then x is equal to

Updated On: Aug 28, 2023
  • 6

  • ±6

  • -6

  • 0

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The Correct Option is B

Solution and Explanation

 \(\begin{vmatrix}x&2\\18&x\end{vmatrix}=\begin{vmatrix}6&2\\18&6\end{vmatrix}\)
\(\Rightarrow\) x2-36=36-36
\(\Rightarrow\) x2-36=0
\(\Rightarrow \) x2=36
\(\Rightarrow\) x=±6

Hence, the correct answer is B.

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