Question

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

• A. 6
• B. ±6
• C. -6
• D. 0

Answer 1

The Correct Option is B

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

Hence, the correct answer is B.