Hello all, the question I am trying to prove is as follows:
Let
be the circle
and let
aand put
where
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?