Straight Line and Pair of Straight Lines 1 Question 25
25. Let $O(0,0), P(3,4)$ and $Q(6,0)$ be the vertices of a $\triangle O P Q$. The point $R$ inside the $\triangle O P Q$ is such that the triangles $O P R, P Q R$ and $O Q R$ are of equal area. The coordinates of $R$ are
(2007, 3M)
(a) $\frac{4}{3}, 3$
(b) $3, \frac{2}{3}$
(c) $3, \frac{4}{3}$
(d) $\frac{4}{3}, \frac{2}{3}$
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Solution:
- Since, triangle is isosceles, hence centroid is the desired point.
$\therefore \quad$ Coordinates of $R \quad 3, \frac{4}{3}$.
