A) \[\frac{1}{\sqrt{5}}\]
B) \[\pm \frac{2}{\sqrt{5}}\]
C) \[\pm 3\sqrt{5}\]
D) None of these
Correct Answer: C
Solution :
Applying the formula, the distance between them is \[\left| 2\sqrt{\frac{({{k}^{2}}/4)-0}{1.(1+4)}} \right|=\left| \frac{k}{\sqrt{5}} \right|\], \[\therefore \left| \frac{k}{\sqrt{5}} \right|=3\Rightarrow k=\pm 3\sqrt{5}\].
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