Question

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

• A. (1,2)
• B. (2,4)
• C. $(\frac{2}{3},\frac{4}{3})$
• D. $(\frac{1}{3},\frac{2}{3})$

Answer 1

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).