A plane P meets the coordinate axes at A B and C respectively . The centroid of `Delta ABC` is give to be (1,1,2) . Then the equation of the line through this centroid and perpendicular to the plane P is ,

Options

A. `(x - 1)/(2) = (y -1)/(1) = (z-2)/(1)`
B. `(x-1)/(1) = (y-1)/(1) = (z-2)/(2)`
C. `(x-1)/(2) = (y - 1)/(2) = (z-2)/(1)`
D. `(x-1)/(1) = (y-1)/(2) = (z-2)/(2)`