Cheenta Blog Since 2010

Stabilization is an important tool in combinatorics. An application in AMC 8, 2018, Problem 19, on 'sign pyramid' illustrates the technique

INMO is organized by HBCSE-TIFR. This post is dedicated for INMO 2019 Discussion. You can post your ideas here.

Simson lines arise naturally. Imagine a triangle as a reference frame. Let a point float on the plane of the triangle. How far is the point from the sides of the triangle?

A beautiful curved triangle appears when we run along the circumference! A magical journey into the geometry of Steiner's Deltoid.

Remember the Dudeney puzzle introduced in the last post. We have ended with the question "Why four?"...We will be revealing the reason in this post.

IMO 2018 Problem 6 discussion is an attempt to interrogate our problem solving skill. This article is useful for the people who are willing to appear in any of the math olympiad entrances.

Understand the Problem: The polynomial \(x^7+x^2+1\) is divisible by (A) \(x^5-x^4+x^2-x+1\)              (B) \(x^5-x^4+x^2+1\) (C) \(x^5+x^4+x^2+x+1\)           (D) \(x^5-x^4+x^2+x+1\) Solution A shorter solution or approach can always exist. Think about it. If you find an alternative solution or approach, mention it in the comments. We would love to hear something different from you. Also Visit: I.S.I. & C.M.I […]

" Take care of yourself, you're not made of steel. The fire has almost gone out and it is winter. It kept me busy all night. Excuse me, I will explain it to you. You play this game, which is said to hail from China. And I tell you that what Paris needs right now […]

Pedal triangles lead to spirally similar cyclic quadrilaterals in any triangle. A half turn and dilation by 1/8 create the new quadrilateral.

30 sessions, 45 hours, a team of 6 faculty members. Cheenta is presenting a camp for Indian National Math Olympiad (leading to International Math Olympiad). We begin on 14th December 2018 and it will run up to 19th January 2019.