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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

If the vertices of a triangle are such that the coordinates of the orthocentre as well as the circumcentre are integers then the coordinates of the centroid must be

Answer: (B)

Solution

The centroid divides the segment from the circumcentre to the orthocentre in the ratio (Euler line), so

G = .

With having integer coordinates, the

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Question ID VK-110338