A) \[\sqrt{3}x+y-\sqrt{3}=0,\ \ \sqrt{3}x-y-\sqrt{3}=0\]
B) \[\sqrt{3}x+y+\sqrt{3}=0,\ \ \sqrt{3}x-y+\sqrt{3}=0\]
C) \[x+\sqrt{3}y-\sqrt{3}=0,\ \ x-\sqrt{3}y-\sqrt{3}=0\]
D) None of these
Correct Answer: A
Solution :
The equation of lines passing through (1, 0) are given by \[y=m(x-1)\]. Its distance from origin is \[\frac{\sqrt{3}}{2}\]. Þ \[\left| \frac{-m}{\sqrt{1+{{m}^{2}}}} \right|=\frac{\sqrt{3}}{2}\] Þ \[m=\pm \sqrt{3}\]. Hence the lines are \[\sqrt{3}x+y-\sqrt{3}=0\] and \[\sqrt{3}x-y-\sqrt{3}=0\].
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