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## Spiral Similarity of cyclic quadrilaterals

ABC be any triangle. P is any point inside the triangle ABC. $$PA_1, PB_1, PC_1$$ be the perpendiculars dropped from P on the sides BC, CA and AB respectively. $$A_1 B_1 C_1$$ constitutes a pedal triangle. Also see Advanced Math Olympiad Program Drop perpendiculars...

## I(N)MO Camp 2018-19

National Math Olympiad - Cheenta Camp Dec 14, 2018 - Jan 19, 2019 | Online Panel of teachers Sauvik Mondal Mr. Mondal is a Cheenta alumnus turned faculty. He is presently pursuing M.Math at Indian Statistical Institute, Calcutta. His research interest is in Topology....

## Shapes and Measure 1 – let us divide!

This is a part of Thousand Flowers Pre-Olympiad lectures at Cheenta. It is an experiment to teach percentage arithmetic, euclidean geometry, rational and irrationals and computational software tools in an interdisciplinary manner. We extensively used GeoGebra and plan...

## AM GM Inequality, Euler Number – Stories in Real Analysis

A.M.- G.M. Inequality can be used to prove the existence of Euler Number. In this discussion, we venture into the fascinating journey from classical inequalities to modern real analysis. Watch the video A short code in Python to check boundedness of a classical...

## RMO 2018 Tamil Nadu Problem 3 – Nonlinear Diophantine Equation

RMO 2018 Tamil Nadu Problem 3 is from Number Theory. We present sequential hints for this problem. Do not read all hints at one go. Try it yourself. Problem Show that there are infinitely many 4-tuples (a, b, c, d) of natural numbers such that \( a^3 + b^4 + c^5 = d^7...