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

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