Three Dimensional Geometry Question 206

Question: If $ \frac{x-1}{l}=\frac{y-2}{m}=\frac{z+1}{n} $ is the equation of the line through (1, 2, ?1) and (?1, 0, 1), then (l, m, n) is

[MP PET 1992]

Options:

A) (?1, 0, 1)

B) (1, 1, ?1)

C) (1, 2, ?1)

D) (0, 1, 0)

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{-2}{l}=\frac{-2}{m}=\frac{2}{n} $ ;
$ \therefore (l,m,n) $ are $ (1,1,-1) $ .