Let C be the centroid of the triangle


Let $\mathrm{C}$ be the centroid of the triangle with vertices $(3,-1),(1,3)$ and $(2,4)$. Let $P$ 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 $\mathrm{C}$ and $\mathrm{P}$ also passes through the point :

  1. $(7,6)$

  2. $(-9,-6)$

  3. $(-9,-7)$

  4. $(9,7)$

Correct Option: , 2


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