Three Dimensional Geometry Question 295
Question: Distance between two parallel planes $ 2x+y+2z=8 $ and $ 4x+2y+4z+5=0 $ is
[AIEEE 2004]
Options:
A) $ \frac{9}{2} $
B) $ \frac{5}{2} $
C) $ \frac{7}{2} $
D) $ \frac{3}{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
Given planes are $ 2x+y+2z-8=0 $ or $ 4x+2y+4z-16=0 $ …..(i) and $ 4x+2y+4z+5=0 $ …..(ii) Distance between two parallel planes $ =| ,\frac{-16-5}{\sqrt{4^{2}+2^{2}+4^{2}}}, |, $ $ =,\frac{21}{6}=\frac{7}{2} $ .
BETA
