If the orthocenter of triangle is(- 3,5$)$ and circumcentre is $(6,2)$ then centroid is

Question

Professor PC Thomas Classes · Answer

Centroid divides the line joining orthocentre and circumcentre in the ratio $2:1$. Thus $x = \frac{2(6)+1(-3)}{3} = \frac{9}{3} = 3$, $y = \frac{2(2)+1(5)}{3} = \frac{9}{3} = 3$. Centroid is $(3,3)$.