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Let A (2,-3) and B(-2,1) be vertices of ...

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

A

`3x - 2y = 3`

B

`2x - 3y = 7`

C

`3x + 2y = 5`

D

`2x + 3y = 9`

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The correct Answer is:
D
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