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AIEEE 2007

JEE Main 2007 Mathematics question on Straight Lines and Pair of Lines

Let O(0,0)O(0, 0), P(3,4)P(3, 4) and Q(6,0)Q(6, 0) be the vertices of a △OPQ\triangle OPQ. The point RR inside the △OPQ\triangle OPQ is such that the triangles OPROPR, PQRPQR and OQROQR are of equal area. The coordinates of RR are
  1. A.
    (43,3)\left(\dfrac{4}{3}, 3\right)
  2. B.
    (3,23)\left(3, \dfrac{2}{3}\right)
  3. C.
    (3,43)\left(3, \dfrac{4}{3}\right)
  4. D.
    (43,23)\left(\dfrac{4}{3}, \dfrac{2}{3}\right)
Show answer

Correct option: C

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