Let D be the centroid of the triangle with vertices 3 , - 1 , 1 , 3 and 2 , 4 . Let P be the point of intersection of the lines x + 3 y - 1 = 10 and 3 x - y + 1 = 0 . Then, the line passing through the points D and P also passes through the

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Let D be the centroid of the triangle with vertices 3 , - 1 , 1 , 3 and 2 , 4 . Let P be the point of intersection of the lines x + 3 y - 1 = 10 and 3 x - y + 1 = 0 . Then, the line passing through the points D and P also passes through the point:

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Correct answer: A. - 9 , - 6

Centroid x 1 + x 2 + x 3 3 , y 1 + y 2 + y 3 3 D 2 , 2 Point of intersection P - 1 5 , 2 5 Equation of line D P 8 x - 11 y + 6 = 0 . Hence, - 9 , - 6 satisfy above equation.

Let D be the centroid of the triangle with vertices 3 , - 1 , 1 , 3 and 2 , 4 . Let P be the point of intersection of the lines x + 3 y - 1 = 10 and 3 x - y + 1 = 0 . Then, the line passing through the points D and P also passes through the point:

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