Question

Let $0(0, 0), P(3, 4)$ and $Q(6, 0)$ be the vertices of a $\Delta$ OP The point R inside the $\Delta OPQ$ is such th at the triangles $OPR, PQR$ and $OQR$ are of equal area. The coordinates of R are

• A. $\Big(\frac{4}{3},3\Big)$
• B. $\Big(3,\frac{2}{3}\Big)$
• C. $\Big(3,\frac{4}{3}\Big)$
• D. $\Big(\frac{4}{3}\frac{2}{3}\Big)$

Answer 1

Answer: (C)

$\Big(3,\frac{4}{3}\Big)$

Answer 2

Since, triangle is isosceles, hence centroid is the desired point.
$\therefore$ Coordinates of R $\Bigg(3,\frac{4}{3}\Bigg).$