JEE Advance - Mathematics (1998 - No. 19)
If the vertices $$P, Q, R$$ of a triangle $$PQR$$ are rational points, which of the following points of the triangle $$PQR$$ is (are) always rational point(s)?
centroid ( A rational point is a point both of whose co-ordinates are rational numbers.)
incentre. ( A rational point is a point both of whose co-ordinates are rational numbers.)
circumcentre ( A rational point is a point both of whose co-ordinates are rational numbers.)
orthocentre ( A rational point is a point both of whose co-ordinates are rational numbers.)