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

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

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best_answer

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})

Posted by

manish

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