If the vertices $P, Q, R$ of a triangle $P Q R$ are rational points, which of the following points o

Question

If the vertices $P, Q, R$ of a triangle $P Q R$ are rational points, which of the following points of the triangle $P Q R$ is (are) always rational points?\

Professor PC Thomas Classes · Answer

(a) : Let $\left(x_{\mathrm{i}}, y_{\mathrm{i}}ight)$ be the vertices of triangle which are rational and $i=1,2,3$\ $	herefore \quad$ Centroid of the triangle is\ $\left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}ight)$ is also rational.\