Three Dimensional Geometry Question 306
Question: If for a plane, the intercepts on the coordinate axes are 8, 4, 4 then the length of the perpendicular from the origin on to the plane is
[Kerala (Engg.) 2005]
Options:
A) 8/3
B) 3/8
C) 3
D) 4/3
E) 4/5
Show Answer
Answer:
Correct Answer: A
Solution:
Equation of plane is, $ \frac{x}{8}+\frac{y}{4}+\frac{z}{4}=1 $ Þ $ x+2y+2z=8 $ Length of the perpendicular from the origin on the plane $ =| \frac{-8}{\sqrt{1^{2}+2^{2}+2^{2}}} |=\frac{8}{3} $ .
BETA
