Locus of vertex of an equilateral triangle

Locus of vertex of an equilateral triangle

Try this beautiful problem. We will give you hints! ABC is an equilateral triangle with vertex A fixed and B moving in a given straight line. Find the locus of C   What is the big idea ? Think about what does not change. 1. Point A is fixed. 2. The line on which...
A Proof from my Book

A Proof from my Book

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...
Personal Math Mentoring is live!

Personal Math Mentoring is live!

Advanced mathematics … just got personal Personal Mentors passion for mathematics 1 on 1 help is live apart from regular group classes CHEENTA CLASSES ARE DELIVERED BY OUTSTANDING MATHEMATICIANS. THEY ARE EX-OLYMPIANS AND RESEARCHERS AT LEADING...

ISI BStat 2018 Subjective Problem 2

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 of \(\triangle QOS\) and \(\triangle POR\) By...

ISI BStat 2018 Subjective Problem 1

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. The picture looks...
A Math Conversation – I

A Math Conversation – I

Inspired by the book of Precalculus written in a dialogue format by L.V.Tarasov, I also wanted to express myself in a similar fashion when I found that the process of teaching and sharing knowledge in an easy way is nothing but the output of a lucid discussion between...