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JEE Math Practice Question

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 :

  1. A.circle of radius $$\sqrt 2 $$.
  2. B.circle of radius $$\sqrt 3 $$.
  3. C.straight line parallel to $$x$$-axis
  4. D.straight line parallel to $$y$$-axis

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