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## 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

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!

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

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...