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### Question Asked by a Student from EXXAMM.com Team

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 ,

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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