Straight Line and Pair of Straight Lines 1 Question 31
31. 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 point(s)
$(1998,2$ M)
(a) centroid
(b) incentre
(c) circumcentre
(d) orthocentre
(A rational point is a point both of whose coordinates are rational numbers)
Show Answer
Solution:
- Since, the coordinates of the centroid are $\frac{x _1+x _2+x _3}{3}, \frac{y _1+y _2+y _3}{3}$, then the centroid is always a rational point.
