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Q 1113167940.     A plane meets the coordinate axes at `A,B,C` so that the centroid of the triangle `DeltaABC` is `(1,2,4)`. Then the equation of the plane is :

EAMCET 2010
A

`x+2y+4z=12`

B

`4x+2y+z=12`

C

`x+2y+4z=3`

D

`4x+2y+z=3`

HINT

The given centroid coordinates are `C(x_0,y_0,z_0) = (1,2,4)` The equation of the plane is `:(x/a)+(y/b)+(z/c) = 1` The intercepts `a=3x_0 ; b=3y_0 ; c=3z_0` accordingly ,

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