Find the equation of straight lines through the point $\left(\dfrac {1}{\sqrt {3}}, 1\right)$ whose perpendicular distance from the origin is unity.

My Attempt:
Let the equation of line be $ax+by+c=0$.
Its distance from origin is $1$ unit. So,
$$\left|\dfrac {a.0+b.0+c}{\sqrt {a^2+b^2}}\right|=1$$
$$\left|\dfrac {c}{\sqrt {a^2+b^2}}\right|=1$$

What do I solve further?