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Cheenta @ This Week

March 18 to 24 January brings great news! Sambuddha got an offer from Cambridge. Aditya got multiple offers including one from Oxford. Soumyadeep cracked the TIFR entrance! We feel ecstatic. The entire credit goes to the students. We feel awesome to be a part of their...

INMO 2019 Discussion

Indian National Mathematical Olympiad is organized by Homi Bhabha Centre for Science Education. This post is dedicated for INMO 2019 Discussion. You can post your ideas here. Problem 1. Let $$ABC$$ be a triangle with $$\angle BAC > 90^\circ$$. Let $$D$$ be a point on...

Test of Mathematics Solution Objective 401 – Trigonometric Series

This is a Test of Mathematics Solution (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I....

Understanding Simson Lines

Imagine a point P floating in the plane of a triangle ABC. How far is this point from the sides of the triangle? A point P is floating in the plane of a triangle ABC Think: Suppose ABC is a triangle. Specify three positive numbers: x, y, z (for example 2, 3, 4.9). Is...

What if a Simson Line moves!

This is the story of a deltoid. It is known as Steiner Hypocycloid. It looks like a curved sided triangle. And it is traced out by something called a Simson line. Let us start the story from the beginning. We have a triangle ABC. We draw its circumcircle. And we pick...

A Dream, An IMO 2018 Problem and A Why

Cheenta, with the zeal of a child, has a dream of training a perfect IMO team someday in the recent future. Also, the day, 22nd December is very special to Mathematics, which saw the birth of Ramanujan and is a very romantic day for every math-loving person. With that...