Straight Line And Pair Of Straight Lines Ques 19
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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Answer:
Correct Answer: 19.(c)
Solution:
Formula:
Centroid, Incentre and Excentre:
Since the triangle is isosceles, the centroid is the desired point.
$\therefore \quad$ Coordinates of $R \quad (3, \frac{4}{3})$.
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