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JEE Math Practice Question

Let $$A\left( {2, - 3} \right)$$ and $$B\left( {-2, 1} \right)$$ be vertices of a triangle $$ABC$$. If the centroid of this triangle moves on the line $$2x + 3y = 1$$, then the locus of the vertex $$C$$ is the line :

  1. A.$$3x - 2y = 3$$
  2. B.$$2x - 3y = 7$$
  3. C.$$3x + 2y = 5$$
  4. D.$$2x + 3y = 9$$

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