Three Dimensional Geometry Question 69

Question: Direction ratios of the normal to the plane passing through the points (0, 1, 1), (1, 1, 2) and (-1, 2, - 2) are

Options:

A) (1, 1, 1)

B) (2, 1, -1)

C) (1, 2, -1)

D) (1, - 2, - 1)

Show Answer

Answer:

Correct Answer: D

Solution:

$ l,(1)+m(0)+n(2-1)=0\Rightarrow l+n=0 $ And $ l,(-2)+m(1)+n(-4)=0\Rightarrow ,2l-m+4n=0 $
$ \therefore ,l=-\frac{m}{2}=-,n $ . Hence direction ratios are $ (1,-2,-1) $ .