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## Using auxiliary polynomials in ISI Entrance

Auxiliary polynomials are useful for solving complicated polynomial problems. This problem from ISI Entrance (and a Soviet Olympiad) is a good example. Watch video Read...

## How Euler’s Function is connected with Group Theory

Euler’s Totient function is a simple tool in number theory. But it has deep connection with Group Theory. Learn more about it.

## An interesting biquadratic from ISI Entrance 2005

What are we learning ? Competency in Focus: Biquadratic Equations Main idea: It is usually hard to solve biquadratic equations. However, sometimes, combining tools from geometry and strategies like completing the square it is possible to do so.   Look at the knowledge...

## cos(sin(x)) function in ISI Entrance

Get motivated… try this quiz Understand the problem In the range 0f ( 0 leq x leq 2 pi ) , the equation ( cos (sin (x) )  = frac{1}{2} )  has how many solutions?  Tutorial Problems… try these before watching the video. 1. Show geometrically that ( cos ( ...

## Geometry of AM GM Inequality

Get motivated… try this quiz Understand the problem Arithmetic mean and Geometric mean are useful algebraic tools. They have beautiful geometric interpretation as well. The following video takes a tour into the ideas. Tutorial Problems… try these before...

## Counting triangles in ISI Entrance

Get motivated… try this quiz Understand the problem Let P be a regular 12 sided polygon. How many right triangles can be formed by the vertices of P? Tutorial Problems… try these before watching the video. 1. Show that a regular 12 sided polygon must be...