Spiral Similarity of cyclic quadrilaterals

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

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!

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...
RMO 2018 Tamil Nadu Problem 2 – real quadratic

RMO 2018 Tamil Nadu Problem 2 – real quadratic

RMO 2018 Tamil Nadu Problem 2 is from Theory of Equations. We present sequential hints for this problem. Do not read all hints at one go. Try it yourself. Problem Find the set of all real values of a for which the real polynomial equation \( P(x) = x^2 – 2ax + b...