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