A circle can have how many parallel tangents?

We know that the radius drawn on a circle to the tangent point is perpendicular to that tangent.

This means that the contact radii of the two parallel tangents form a perfect diameter of the circle, or that the two parallel tangents lie at the end points of the circle's diameter.

We know that the diameter intersects the circle twice.

As a result, there is no more room on the circle to draw a third parallel tangent.

As a result, a circle can only have two parallel tangents, or only two parallel tangents can be drawn on a circle.