Locus of the image of the point $(2, 3)$ in the line $(2x - 3y + 4) + k(x - 2y + 3) = 0$, $k \in \mathbb{R}$, is a:\\
(1) straight line parallel to $x$-axis\\
(2) straight line parallel to $y$-axis\\
(3) circle of radius $\sqrt{2}$\\
(4) circle of radius $\sqrt{3}$