Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $\begin{vmatrix}3 & x\\x & 1\end{vmatrix}=\begin{vmatrix}3 & 2\\4 & 1\end{vmatrix},$ then x is equal to :

Options:

$2\sqrt{2}$

$-2\sqrt{2}$

$±2\sqrt{2}$

0

Correct Answer:

$±2\sqrt{2}$

Explanation:

The correct answer is Option (3) → $±2\sqrt{2}$

$\begin{vmatrix}3&x\\x&1\end{vmatrix}=\begin{vmatrix}3&2\\4&1\end{vmatrix}$

$⇒3-x^2=3-8$

$x^2=8⇒x=±2\sqrt{2}$