A variable plane passes through a fixed point `(alpha,beta,gamma)` and meets the axes at `A ,B ,a n dCdot` show that the locus of the point of intersection of the planes through `A ,Ba n dC` parallel to the coordinate planes is `alphax^(-1)+betay^(-1)+gammaz^(-1)=1.`

Options

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

Answer

B