A) \[0<c<1\]
B) \[c>2\]
C) \[c=\pm \sqrt{2}\]
D) \[c=\pm \sqrt{3}\]
E) \[c=\pm 3\]
Correct Answer: D
Solution :
Since, DCs of a line are\[\left( \frac{1}{c},\frac{1}{c},\frac{1}{c} \right)\]. \[\therefore \] \[{{\left( \frac{1}{c} \right)}^{2}}+{{\left( \frac{1}{c} \right)}^{2}}+{{\left( \frac{1}{c} \right)}^{2}}=1\] \[\Rightarrow \] \[{{c}^{2}}=3\Rightarrow c=\pm \sqrt{3}\]
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