PRMO 2017 (pre regional math olympiad) has this beautiful geometry problem of circle in a circle. Try with sequential hints.
PRMO 2017 (pre regional math olympiad) has this beautiful geometry problem of circle in a circle. Try with sequential hints.
Boundaries are controversial. Ask the politicians! Mathematicians, on the other hand, have an interesting way of thinking about the boundary of the space. It is less controversial for sure.
A beautiful geometry problem from Math Olympiad program that involves locus of a moving point. Sequential hints will lead you toward solution.
Date: April 20, Saturday, 6 PM I.S.T. Abstract A great way to study groups is to study group automorphisms. They are structure-preserving maps from a group to itself. Some subgroups are 'invariant' under all group automorphisms. They are known as characteristic subgroups. One example of the characteristic subgroup is the commutator subgroup. In this seminar, we […]
Alexander the great founded Alexandria in Egypt. This was in the year 332 Before Christ. Since then Alexandria became one of the most important cities of the world. It had the Light House and the Great Library. These were the wonders of ancient world. Perhaps a much less known wonder was Pappus the geometer. Pappus […]
This is proof from my book - my proof of my all-time favorite true result of nature - Pick's Theorem. This is the simplest proof I have seen without using any high pieces of machinery like Euler number as used in The Proofs from the Book. Given a simple polygon constructed on a grid of […]
Advanced mathematics classes now have an add on - Cheenta students will have access to One-on-One mentoring (apart from regular group classes).
Here is a problem based on the area of triangle from ISI B.Stat Subjective Entrance Exam, 2018. Sequential Hints: Step 1: Draw the DIAGRAM with necessary Information, please! This will convert the whole problem into a picture form which is much easier to deal with. Step 2: Power of a Point - Just the similarity […]
The solution will be posted in a sequential hint based format. You have to verify the steps of hints. Sequential Hints: Step 1: Solution set of sin(\(\frac{x+y}{2}\)) = 0 is {\({x + y = 2n\pi : n \in \mathbb{N}}\)} - A set of parallel straight lines. Step 2: Solution set of |x| + |y| = […]
Napoleon Bonaparte loved mathematics. Legend goes that he discovered a beautiful theorem in geometry. It is often called the Napoleon Triangle and has applications in math olympiad