Choose the correct answer from the given four options. The equations of the lines passing through the point (1, 0) and at a distance $ \large\frac{\sqrt 3 }{2}$ from the origin, are

Question

$\begin {array} {1 1} (A)\;\sqrt 3 x + y - \sqrt 3 = 0, \sqrt 3 x - y - \sqrt 3 = 0 & \quad (B)\;\sqrt 3 x + y + \sqrt 3 = 0, \sqrt 3 x - y + \sqrt 3 = 0 \\ (C)\;x+ \sqrt 3 \: y - \sqrt 3 =0, x - \sqrt 3 y - \sqrt 3 = 0 & \quad (D)\;\text{None of these} \end {array}$