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### A familiar Functional Equation

Cauchy’s functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + …

### Cauchy’s Functional Equation’s Application – INMO 2018 Problem 6

An Application of Cauchy’s Functional Equation Cauchy’s functional equation is a description of a function.  f(x + y) = …

### INMO 2017

In the given figure, $$ABCD$$ is a square sheet of paper. It is folded along $$E F$$ such that $$A$$ …

### INMO 2016

Let $$ABC$$ be triangle in which $$AB=AC$$. Suppose the orthocentre of the triangle lies on the incircle. Find the ratio …

### Contraction of a function – advanced Cheenta seminar

It is almost like deflating a balloon. But the effect is exponential.  Today (29th January 2018, Monday), we have a …

### INMO 2018

Let ABC be a non-equilateral triangle with integer sides. Let D and E be respectively the mid-points BC and C …

### Euler’s Formula and Access All – Cheenta Update

The most beautiful equation in mathematics is:     It is often attributed to Swiss Mathematician Leonhard Euler. Interestingly enough, …

### Problems of the week (December 18 to 24)

We have indicated the source of these problems. Do not look up solutions. It is fun to try it yourself …

### Sine of angle is the half chord – a Geogebra animation

Sine of an angle, half chord and vertical projection Note that half chord corresponding to a half arc is same …

### Triangles on a Sphere

PROBLEM Suppose the earth is a perfect sphere. You are on its surface at point A. First, you walk 1 …

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