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## 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...

## 2016 ISI Objective Solution Problem 1

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) $$x^5-x^4+x^2+x+1$$ . Also Visit: I.S.I. & C.M.I Entrance Program Understanding the Problem: The problem is easy...

## Test of Mathematics Solution Objective 398 – Complex Number and Binomial Theorem

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....