Straight Line and Pair of Straight Lines 1 Question 31

31. If the vertices P,Q,R of a PQR are rational points, which of the following points of the PQR 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)

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Solution:

  1. Since, the coordinates of the centroid are x1+x2+x33,y1+y2+y33, then the centroid is always a rational point.


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