Straight Line and Pair of Straight Lines 1 Question 25

25. Let O(0,0),P(3,4) and Q(6,0) be the vertices of a OPQ. The point R inside the OPQ is such that the triangles OPR,PQR and OQR are of equal area. The coordinates of R are

(2007, 3M)

(a) 43,3

(b) 3,23

(c) 3,43

(d) 43,23

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Solution:

  1. Since, triangle is isosceles, hence centroid is the desired point.

Coordinates of R3,43.



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