If the orthocenter and circumcentre of a triangle are (0,0) and (3,6) respectively then the centroid of the triangle is

(1,2)

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(2,4)

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Solution

The correct option is B (2,4)
In any triangle centroid divides the line joining orthocenter and circumcentre internally in the ratio 2 : 1.
Applying section formula to find the point which divides the line joining (0,0) in the ratio 2:1 , we get the coordinated of centroid equal to (2,4).

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if orthocenter and centroid of triangle are (-3,5) and (3,3) respectively, then find circumcentre

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