The centroid of the triangle formed by (...

The centroid of the triangle formed by (0, 0, 0) and the point of intersection of `(x-1)/x=(y-1)/2=(z-1)/1` with `x=0` and `y=0` is

A

(1,1,1)

B

`(1//6,-1//3,1//6)`

C

`(-1//6,1//3,-1//6)`

D

`(1//3,1//3,1//3)`

Verified by Experts

The correct Answer is:

B

Any point on the given line is `k+1,2k+1,k+1`
but `x=0 rArr A=-(0,-1,0)`
and y=0 `rArr B-=(1//2,0,1//2)`

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