Let , , be the vertices of the triangle . The point inside the triangle is such that…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let O(0,0)O(0, 0), P(3,4)P(3, 4), Q(6,0)Q(6, 0) be the vertices of the triangle OPQOPQ. The point RR inside the triangle OPQOPQ is such that the triangles OPROPR, PQRPQR, OQROQR are of equal area. The coordinates of RR are (1) (43,3)\left(\frac{4}{3}, 3\right) (2) (3,23)\left(3, \frac{2}{3}\right) (3) (3,43)\left(3, \frac{4}{3}\right) (4) (43,23)\left(\frac{4}{3}, \frac{2}{3}\right)

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