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 : - DASH

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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 :

$3x - 2y = 3$

$2x - 3y = 7$

$3x + 2y = 5$

$2x + 3y = 9$

Solution

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