JEE Advanced 2007 Mathematics question

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

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The only interior point that divides a triangle into three triangles of equal area is the centroid (each sub-triangle must have one-third of the area,

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Question ID VK-037514