I'm working on a fairly complex problem and it has come down to one final part.
I have an overlapping circle and ellipse. I have the equation for both.
The centre of the circle is say (5,5) and the foci of the ellipse are say (5,5) and (10,5), so one of the foci is the centre of the circle.
I need to find the equation of the 2 common tangents (and consequently, the intersection points of the tangents with the circle and ellipse).
It seems fairly straightforward but I'm having difficulty getting it out.
Any help greatly appreciated!