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Q.

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

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a

3,23

b

43,3

c

3,43

d

43,23

answer is C.

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Detailed Solution

Point R is the centroid of the triangle OPQ

∴R is 0+3+63,0+4+03≡3,43

( ∵In ΔABC, with centroid G, areas of   ΔGBC, ΔGCA  & ΔGAB are equal) 

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