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If a vertex of a triangle is $(1,1)$ and the mid-points of two sides through this vertex are $(-1,2)$ and $(3,2)$, then the centroid of the triangle is
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The correct answer is:
$\left(1, \frac{7}{3}\right)$
$\left(1, \frac{7}{3}\right)$
Vertex of triangle is $(1,1)$ and midpoint of sides through this vertex is $(-1,2)$ and $(3,2)$ $\Rightarrow$ vertex $B$ and $C$ come out to be $(-3,3)$ and $(5,3)$
$\therefore$ centroid is $\frac{1-3+5}{3}, \frac{1+3+3}{3}$ $\Rightarrow(1,7 / 3)$
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