Y by itslumi, Rounak_iitr
Let
be the orthocenter of a given triangle
. Let
and
meet at a point
, and
and
meet at
. Suppose that
is a point on the line
. Also suppose that the circumcircle of triangle
and the line
intersect again at
, and the circumcircle of triangle
and the line
intersect again at
.
Show that the circumcircle of triangle
is tangent to the line
.
Proposed by usjl
















Show that the circumcircle of triangle


Proposed by usjl