JEE Advanced · Mathematics · 17. Properties of Triangles
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
- A
\(\left(\frac{4}{3}, 3\right)\)
- B
\(\left(3, \frac{2}{3}\right)\)
- C
\(\left(3, \frac{4}{3}\right)\)
- D
\(\left(\frac{4}{3}, \frac{2}{3}\right)\)
Answer & Solution
Correct Answer
(C)
\(\left(3, \frac{4}{3}\right)\)
Step-by-step Solution
Detailed explanation
\[
\text { 7. Since, triangle is on isosceles, hence centroid is the desired point. }
\]
\(\therefore\) Coordinates of \(R\left(3, \frac{4}{3}\right)\)
\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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