Question

If the orthocenter and the centroid of a triangle are (4,5) and (3,3) respectively, then the circumcenter of the triangle is

Answer 1

The orthocentre, centroidand circumcentre of any trian- gle are collinear. The centroid divides the distance from the orthocentre to thecircumcentre in the ratio 2:1. The line on which these 3 points lie is called the Euler line of the triangle.

now use section formula to get the required solution