If the orthocentre and circumcentre of a triangle are respectively and , then the coordinates of its centroid are
Explanation for the correct option.
The line created by joining the circumcentre and orthocentre of a triangle is divided in the ratio by the centroid of a triangle.
The coordinates of the circumcentre and orthocentre are given, then to find the coordinates of the centroid we need to use the formula,
, where is the ratio in which the line is divided that is , are the coordinates of orthocentre and circumcentre respectively.
The coordinates of the centroid are,
Hence, the correct option is (A).