A) \[\frac{\sqrt{5}}{2}\]
B) \[\frac{2}{5}\]
C) \[\frac{2}{\sqrt{5}}\]
D) \[\frac{1}{\sqrt{5}}\]
Correct Answer: C
Solution :
Given lines are \[2x-y+7=0\] and \[AB=2AD=2\sqrt{81-9}=2\sqrt{72}=12\sqrt{2}\] Both the lines are on same side of origin. Distance between two parallel lines =\[\frac{7-5}{\sqrt{{{2}^{2}}+{{1}^{2}}}}=\frac{2}{\sqrt{5}}\].
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