A plane meets the coordinate axes at `A,B,C` so that the centroid of the triangle `DeltaABC` is `(1,2,4)`. Then the equa
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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 ,
Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)
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