Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

Consider a circle with centre O. Let AB is the given line.
Now draw a perpendicular from O to line AB, which intersect AB at P.
Now take points on the line PO, one at circle X and another Y inside the circle. Draw lines parallel to AB and passing through X and Y. CD and EF are the required lines.