Hello all, the question I am trying to prove is as follows:
Let be the circle
and let aand put
Find necessary and sufficient conditions in terms of that be tangent to at
Now if was tangent to the circle at the point , and (i.e. the line segment from to , which has distance ) would have to be perpendicular.
i.e. triangle ACO, (where O is any point where on ) is a right triangle.
However using the Pythagorem theorem on the sides, doesnt seem to help me find what is.
Can anyone offer me any advice on this problem please?