Question

If $\left|\begin{array}{cc}x& 4\\ 3& 2\end{array}\right|=\left|\begin{array}{cc}-3& -5\\ 1& 3\end{array}\right|,$ then the value of $x$ is

$\left(a\right)-2\left(b\right)8\left(c\right)-4\left(d\right)4$

Answer 1

Given, $\left|\begin{array}{cc}x& 4\\ 3& 2\end{array}\right|=\left|\begin{array}{cc}-3& -5\\ 1& 3\end{array}\right|$
On expanding the given equation,
$\Rightarrow 2x-12=-9+5\Rightarrow 2x=-4+12\Rightarrow x=4$
Ans : $\left(d\right)$