JEE Advance - Mathematics (2007 - No. 28)
Let $$O\left( {0,0} \right),P\left( {3,4} \right),Q\left( {6,0} \right)$$ be the vertices of the triangles $$OPQ$$. The point $$R$$ inside the triangle $$OPQ$$ is such that the triangles $$OPR$$, $$PQR$$, $$OQR$$ are of equal area. The coordinates of $$R$$ are
$$\left( {{4 \over 3},3} \right)$$
$$\left( {3,{2 \over 3}} \right)$$
$$\left( {3,{4 \over 3}} \right)$$
$$\left( {{4 \over 3},{2 \over 3}} \right)$$