Locus of the image of the point \( (2,3) \) in the line \( (2 x-3 y+4)+k(x-2 y+3)=0, k \in R \),...

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Locus of the image of the point \( (2,3) \) in the line \( (2 x-3 y+4)+k(x-2 y+3)=0, k \in R \), is a
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(a) circle of radius \( \sqrt{2} \)
(b) circle of radius \( \sqrt{3} \)
(c) straight line parallel to \( X \)-axis
(d) straight line parallel to \( Y \)-axis
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