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Question: Answered & Verified by Expert
Let $O(0,0), P(3,4)$ and $Q(6,0)$ be the vertices of the $\triangle O P Q$. The point $R$ inside the $\triangle O P Q$ is such that the $\triangle O P R, \triangle P Q R, \triangle O Q R$ are of equal area. The coordinates of $R$ are
MathematicsProperties of TrianglesJEE AdvancedJEE Advanced 2007 (Paper 2)
Options:
  • A
    $\left(\frac{4}{3}, 3\right)$
  • B
    $\left(3, \frac{2}{3}\right)$
  • C
    $\left(3, \frac{4}{3}\right)$
  • D
    $\left(\frac{4}{3}, \frac{2}{3}\right)$
Solution:
2501 Upvotes Verified Answer
The correct answer is:
$\left(3, \frac{4}{3}\right)$
$$
\text { 7. Since, triangle is on isosceles, hence centroid is the desired point. }
$$


$\therefore$ Coordinates of $R\left(3, \frac{4}{3}\right)$

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