Three Dimensional Geometry Question 397
Question: If the direction consines of a line are $ ( \frac{1}{c},\frac{1}{c},\frac{1}{c} ) $ then
Options:
A) $ 0<c<1 $
B) $ c>2 $
C) $ c>0 $
D) $ c=\pm \sqrt{3} $
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Answer:
Correct Answer: D
Solution:
[d] Since d. c. of line are $ { \frac{1}{c},\frac{1}{c},\frac{1}{c} } $
$ \therefore \frac{1}{c^{2}}+\frac{1}{c^{2}}+\frac{1}{c^{2}}=1\Rightarrow c^{2}=3\Rightarrow c=\pm \sqrt{3} $
BETA
