A variable plane passes through a fixed point(3,2,1) and meets and axes at A,B,C respectively. A plane is drawn parallel to plane through a second plane is drawn parallel to plane through A,B,C . Then the locus of the point of intersection of these three planes, is :

Options

A. `(1)/(x)+(1)/(y)+(1)/(z)=(11)/(6)`
B. `(x)/(3)+(y)/(2)+(z)/(1)=1`
C. `(3)/(x)+(2)/(y)+(1)/(z)=1`
D. `x+y+z=6`

Answer

C