A plane makes intercepts `-6,3,4` upon the coordinate axes. Then, the length of the perpendicular from the origin on it is

Options

A. `(2)/(sqrt(29))`
B. `(3)/(sqrt(29))`
C. `(4)/(sqrt(29))`
D. `(12)/(sqrt(29))`

Answer

D

Explanation

The perpendicular distance from origin to the above plane
`=(|0+0+0-1|)/(sqrt(((1)/(6))^(2)+((1)/(3))^(2)+((1)/(4))^(2)))`
`=(1)/(sqrt((4+16+9)/(144)))=(12)/(sqrt(29))`