Does Curve 3 points show Tangent mode?

 From:  Psygorn (DRILLBIT)
10300.3 In reply to 10300.2 
Dear Pilou,

I love 2D & 3D Geometry and I can say I am familiar with it to some extent :)
However, as you mentioned it is inverse of what I want! the line is fixed! I want the curve to be tangent to the line and of course I seek a simple method in which one should not go through geometric calculations to find the tangent point ( although it could be fun :)

So, in MOI 3D, when you already have a line how could you draw a curve tangent to that line, quick and fast?