Three Dimensional Geometry Question 221
Question: The length of the perpendicular drawn from the point (5, 4, ?1) on the line $ \frac{x-1}{2}=\frac{y}{9}=\frac{z}{5} $ is
Options:
A) $ \sqrt{\frac{110}{2109}} $
B) $ \sqrt{\frac{2109}{110}} $
C) $ \frac{2109}{110} $
D) 54
Show Answer
Answer:
Correct Answer: B
Solution:
Required distance $ =\sqrt{{{(5-1)}^{2}}+{{(4-0)}^{2}}+{{(-1-0)}^{2}}-{{[ \frac{(5-1)2+(4-0)9+(-1-0)5}{\sqrt{4+81+25}} ]}^{2}}} $ $ \sqrt{33-\frac{39\times 39}{110}}=\sqrt{\frac{2109}{110}} $ .
BETA
