# If orthocentre and circumcentre of a \bigtriangleup are respectively (1,1) and (3,2) , then the coordinates of its centroid are

As we know that.
Orthocentre, centroid and circumcentre are collinear. And also, centroid divides the line segment joining orthocentre and circumcentre in the ratio 2 : 1

therefore, the coordinate of the centroid is
$\Rightarrow (\frac{2\times 3 + 1\times 1}{2+1},\frac{2\times 2 + 1\times 1}{2+1})$
$\Rightarrow (\frac{7}{3},\frac{5}{3})$

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