The Maths League - [OCL] - [IOQM, RMO, INMO, IMO, ISI, CMI, AMC, AIME]

Hard Rmo lvl but still doable

A little tougher than previous one

Easy problem for angle chase

Try it guys

MORNING CHALLENGE FELLAS! 😈 AN AMUSING PROBLEM AWAITS!

Let me give an extremely challenging😏 problem in geometry :- Let ABCD be a convex quadrilateral and let the circles with diameter AB, CD intersects at X, Y . if AD intersects BC at Q , AC intersects BD at P . Prove that P, X,Y ,Q are concyclic.🙂

On heavy demand to me from tomorrow onwards I would be giving the geometry problem of the day which would work on your basics of finding similar triangles in hard looking problems, Angle chasing in best way . 🥲Most likely I would try my best to keep the problem completely on these two topics . Difficulty of all of these problem's would range day by day and would be in increasing order . So get ready to prepare your synthetic/euclidean geo boiz and girls 🙂

Let me give an extremely challenging😏 problem in geometry :- Let ABCD be a convex quadrilateral and let the circles with diameter AB, CD intersects at X, Y . if AD intersects BC at Q , AC intersects BD at P . Prove that P, X,Y ,Q are concyclic.🙂

One of my favourite number theory too! 🌟✨

One of My Most Favourite Combinatorics Problems: Try It! ✨ An Extremely Elegant Problem! ✨ Source: RMM 2020 P3

try this one solve using exicircles its very easy though for a g7