A) \[0<c<1\]
B) \[c>2\]
C) \[c>0\]
D) \[c=\pm \sqrt{3}\]
Correct Answer: D
Solution :
If\[\frac{1}{C},\,\,\frac{1}{C}\]and\[\frac{1}{C}\]are the direction cosines of a line, then \[\frac{1}{{{c}^{2}}}+\frac{1}{{{c}^{2}}}+\frac{1}{{{c}^{2}}}=1\Rightarrow \frac{3}{{{c}^{2}}}=1\] \[\Rightarrow \] \[c=\pm \sqrt{3}\]
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