A plane meets the coordinate axes A, B, C so that the centroid of the triangle ABC is (1, 3, 6). Then the equation of the plane is

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6x + 2y + z = 18

x + 6y + 2z = 18

x + 6y + 2z = 3

6x + 2y + z = 3

answer is A.

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Detailed Solution

(a3,b3,c3)=(1,3,6) a = 3, b = 9, c = 18x3+y9+z18=1 6x + 2y + z = 18

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