Three Dimensional Geometry Question 225
Question: The length of the perpendicular from point (1, 2, 3) to the line $ \frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2} $ is
[MP PET 1997]
Options:
A) 5
B) 6
C) 7
D) 8
Show Answer
Answer:
Correct Answer: C
Solution:
Projection of [(1, 2, 3) ? (6, 7, 7)] along line $ =\frac{-15-10+8}{\sqrt{17}}=\frac{-17}{\sqrt{17}} $
$ \therefore $ Distance $ =\sqrt{(5^{2}+5^{2}+4^{2})-17}=\sqrt{49}=7 $ .
BETA
