[/quote]
,
be an acute-angled triangle in which 
and 
.
lie on segment 
and point 
lie on segment 
such that 
,
and 
.
be the circumcenter of triangle 
,
the orthocenter of triangle 
the point of intersection of the lines 
and 
.
and 
are the feet of the altitudes through 
and 
respectively. The incenters of the triangles 
and 
are 
and 
respectively; the circumcenters of the triangles 
and 
are 
and 
respectively. Prove that 
and 
are parallel.
be a cyclic quadrilateral with circumcenter 
,
is not a diameter of its circumcircle. The lines 
and 
intersect at point 
lies between 
and 
lies between 
is acute and let 
and 
and 
.
,
.
so that 
The point 
the point 
and the point 
on the line 
Let 
and 
respectively. Prove that the lines 
and 
and 
.
and 
respectively. The point 
such that 
is equilateral. Let 
and 
.
.
obtuse. Let 
,
,
be arbitrary points on 
,
,
are drawn. Show that the lengths of the tangents from the orthocentre of 
is inscribed in a circle. Given 
and 
.
be the orthocentre and incentre of 
to 
.
respectively. The lines 
and 
meet 
at points 
and 
.
and points 
Y by KevinYang2.71, OronSH, aliz, Pengu14, vincentwant, EpicBird08, llbaobao
Can someone explain to me how this is a zero and not a 5? I wrote the Vieta's equivalent of "two consec zero coefficients", which was worth 5 points
I messed up the numbering and I believe that is the underlying cause of the misgrade but if someone sees any other error, please let me know so I don't wrongly email MAA.
Update: I posted this while flipping out upon seeing a zero on my P2 wanting to find a way to somehow appeal - it genuinely felt like 24JMO4 all over again. Thankfully, this -5 did not game-end my score this year
I messed up the numbering and I believe that is the underlying cause of the misgrade but if someone sees any other error, please let me know so I don't wrongly email MAA.
Update: I posted this while flipping out upon seeing a zero on my P2 wanting to find a way to somehow appeal - it genuinely felt like 24JMO4 all over again. Thankfully, this -5 did not game-end my score this year
Attachments:
This post has been edited 6 times. Last edited by Mathandski, Apr 23, 2025, 12:01 AM
