If $\begin{vmatrix}3 & x\\x & 1\end{vmatrix}=\begin{vmatrix}3 & 2\\4 & 1\end{vmatrix},$ then x is equal to :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $±2\sqrt{2}$
$\begin{vmatrix}3&x\\x&1\end{vmatrix}=\begin{vmatrix}3&2\\4&1\end{vmatrix}$
$⇒3-x^2=3-8$
$x^2=8⇒x=±2\sqrt{2}$