Draw a quadrent arc at 90 degrees to an adjustable line

As i move a line changing its angle, i want to have an attached quadrent arc fixed to the line. staying true at 90 degrees to the moving line!
I can find two intersect points, then anomolys flip between the two options, presenting problems.
I only want to draw a quadrent arc below line A !
Is there a way to only pick the lowest of the two intersects?
i think i am going about this the wrong way. is there an easy option?