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

Question

circle of radius $\sqrt 2 $.

circle of radius $\sqrt 3 $.

straight line parallel to $x$-axis

straight line parallel to $y$-axis

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