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

Question

$$\begin {array} {1 1} (1)\;x+2y+4z=12 & \quad (2)\;4x+2y+z=12 \\ (3)\;x+2y+4z=3 & \quad (4)\;4x+2y+z=3 \end {array}$$