Let $A (2, - 3) a n d B (- 2, 1)$ be the vertices of $A B C ˙$ If the centroid of the triangle moves on the line $2 x + 3 y = 1,$ then find the locus of the vertex $C ˙$

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Let

A (2, - 3) a n d B (- 2, 1)

be the vertices of

A B C ˙

If the centroid of the triangle moves on the line

2 x + 3 y = 1,

then find the locus of the vertex

C ˙

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Question Text

Let

A (2, - 3) a n d B (- 2, 1)

be the vertices of

A B C ˙

If the centroid of the triangle moves on the line

2 x + 3 y = 1,

then find the locus of the vertex

C ˙

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