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JEE Advanced2007MathematicsProperties of TrianglesActual

Let O(0,0), P(3,4) and Q(6,0) be the vertices of the O P Q . The point R inside the O P Q is such that the O P R, P Q R, O Q R are of equal area. The coordinates of R are

Options

  1. A( 4 3 , 3 )
  2. B(3, 2 3 )
  3. C(3, 4 3 )
  4. D( 4 3 , 2 3 )

Correct answer

C. (3, 4 3 )

Step-by-step solution

7. Since, triangle is on isosceles, hence centroid is the desired point. Coordinates of R (3, 4 3 )

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