Locus of the image of the point $(2,3)$ in the line $(2x-3y+4)+k(x-2y+3)=0; k \in R$ is a :

Question

$\begin{array}{1 1} \text{Straight line parallel to x-axis } \\ \text{Straight line parallel to y-axis } \\ \text{Circle of radius} \sqrt 2 \\ \text{Circle of radius} \sqrt 3 \end{array} $