I was looking through my old high school mathematics textbook and stumbled across a question with the diagram below.
The radius of the circle is root 14 and BC is a tangent to the circle at point C. The question was determining the length of BC which I did not find difficult at all. The question stopped there, but I wanted to find the co-ordinates of point C. I have tried using to get a system of linear equations to solve simultaneously, but I end up with too many unknowns. I do not know how to proceed. Is there a general argument which can be used for a problem like this and if so could I have a hint so that I may attempt to solve this myself.