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The Maths League - [OCL] - [IOQM, RMO, INMO, IMO, ISI, CMI, AMC, AIME]
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EGMO Warriors this one is a for sure hunt after chapter 4 😇
The type of problem which asks for complex number solution. Enjoy!!!
solution 1) :- we use directed angles (mod 180 )🙃 indeed <KCD=<KCB + <BCD = <ACB - <ACK + <BCD= 90 - <BOK +<BOD/2 = 90 - <DOK - (<BOD)/2 = <KBM HENCE QUADRILATERAL KCMB IS Cyclic hence we have <MKO = <MKB + <BKO = <MCB + <BDO = <DCB + <BAD - 90 = <DAB + <BAD - 90 = - 90 = 90 HENCE WE ARE DONE !!
Problems in Combinatorics and Graph Theory - Ioan Tomescu
@MathsOCL
this crazy geometry is sufficient for all of day 😁 .
250 Problems in Elementary Number Theory - Waclaw Sierpinski (1970)
@MathsOCL
A facinating conjecture in number theory : For any positive integers a,b,c with a,c ≥ 2, the number of solutions to thee
quation a^x + b = c^y in the domain of positive integers does not exceed 2 . Anyone interested can read this page.
try this crazy problem . source :- EGMO 🙃
