Let $A(2,3)$ and $B(-2,3)$ be vertices of a triangle ABC. If the centriod of this triangle moves on the line $2x+3y=1$ then the locus of the vertex C is the line . - Clay6.com, a Free resource for your JEE, AIPMT and Board Exam preparation

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

Let the vertex $C$ be $(h,K)$ then the centroid of $\Delta ABC$ is $\bigg( \large\frac{2-2+h}{3},\frac{-3+1+k}{3}\bigg)$ or $\bigg(\large\frac{h}{3}, \frac{-2+k}{3}\bigg)$