jee-advanced 2007 Q53

jee-advanced · India · paper1 Straight Lines & Coordinate Geometry Triangle Properties and Special Points

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) $\left(\frac{4}{3}, 3\right)$
(B) $(3, \frac{2}{3})$
(C) $(3, \frac{4}{3})$
(D) $\left(\frac{4}{3}, \frac{2}{3}\right)$

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) $\left(\frac{4}{3}, 3\right)$\\
(B) $(3, \frac{2}{3})$\\
(C) $(3, \frac{4}{3})$\\
(D) $\left(\frac{4}{3}, \frac{2}{3}\right)$

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