If $C$ be the centroid of the triangle having vertices $(3,-1),(1,3)$ and $(2,4)$. Let $A$ be the po

Question

If $C$ be the centroid of the triangle having vertices $(3,-1),(1,3)$ and $(2,4)$. Let $A$ be the point of intersection of the lines $x+3 y-1=0$ and $3 x-y+1=0$, then the line passing through the points $C$ and $A$ also pass through the point

Professor PC Thomas Classes · Answer

Centroid $C = (\frac{3+1+2}{3}, \frac{-1+3+4}{3}) = (2,2)$. Solving lines gives $A = (-1/5, 2/5)$. Testing options for collinearity.