Three Dimensional Geometry Question 363
Question: The foot of the perpendicular drawn from the origin to a plane is the point (1,-3, 1). What is the intercept cut on the x-axis by the plane?
Options:
A) 1
B) 3
C) $ \sqrt{11} $
D) 11
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Equation of plane passing through $ (1,-3,1) $ and whose normal $ (1,-3,1) $ is $ 1(x-1)-3(y+3)+1(z-1)=0 $
$ \Rightarrow x-3y+z-11=0 $
$ \Rightarrow \frac{x}{11}-\frac{y}{11/3}+\frac{z}{11}=0 $ The above plane intercept the x-axis at 11.
BETA
