RMO

Don't worry

The RMO questions were leaked again

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520

how to do the 3rd one?

HOW DID U KNW IT ?

I'm in AOPS

See the guys discussing there about leaking of problems at constant rate...

wasn't the first one pretty easy to be in a question for the RMO?

well i didn't appear this time

given, BD/DC = BF/FA

so, DF || AC

=> L ADF = L CAD

L BFK + L BDK = 180° which forces FBDK to be cyclic.

=> α = β done..!!

what was the use of ceva's theorem here to prove AD = CD where D is the point
where the line from B meets AC