# JEE Main

This Category will divide the articles that are useful for jee mains. This could include theory, solved examples, unsolved examples, test papers and previous year papers.

## Principle of Inclusion and Exclusion – with Examples

Principle of Inclusion and Exclusion (PIE) To understand inclusion exclusion principle, lets take an example Suppose there is a class of students who speak 3 languages. English, Spanish and French.  Each student speaks at least one of the languages. Let E be the set of the students speaking English, set S stands for Spanish speaking …

## How to find number of divisor of any integer

Number of divisor   If you are interested in knowing how to find out number of Divisor for any number n then stay tuned. Let’s understand some basic terms first   What is a divisor: A number p (positive integer) is said to be a divisor of number n (positive integer) if and only if …

## Arithmetic Geometric Series and other Summation Techniques

Do you want to know what is Arithmetic Geometric Series ? Or how to find its sum? Or what is difference method and other summation techniques? Let’s begin with AGP. If are new to sequences and series, you must begin from Arithmetic Progression     Arithmetic  Geometric Series   If is an A.P. and is …

## Relation between Arithmetic, Geometric and Harmonic Progressions

Do you want to know how Arithmetic Geometric and Harmonic progressions are linked to Each other? Well there are many ways in which they are related. Let’s know all of them.   If you Don’t Know about Arithmetic Geometric and Harmonic Progression you can Read here Harmonic Progression          (1) If A, …

## Fundamental Elements of Number System, Divisibility rules

Do you want to know what are fundamental elements of number system? How to represent Different elements of number system? What are divisibility rules for integers? what is LCM and HCF ? Read to know it all.   Humans used Stones to count things for thousands of years, then managing the large piles of stones …

## What is Composite functions and inverse of a function

Do you want to know what do we mean by composite functions? How to find composite function, if two functions are given to us? Or you want to know what is inverse of a function ? When does inverse of a function exists? How to find the inverse function? Before we move ahead, I must …

## Transverse and direct common tangent between two circles

Do you want to know what is Transverse and direct common tangent between two circles? How to find their equations given the equations of circles? What is the length of common tangents? Let’s begin from basics.   Any Line that Intersects circle in exactly one point is called a tangent. A line which is …

## De Moivre’s Theorem – Formula, Proof Examples

De Moivre’s Theorem  De Moivre’s theorem helps us find nth power of any complex numbers. Theorem can be further used to find nth roots of unity and some identities. Theorem cal easily be proved by Euler’s theorem. De Moivre’s theorem Formula If n is any integer and q is a real number, then This is …

## Monotonically Increasing and decreasing function Examples

Do you want to understand what is increasing and decreasing functions? Or you want to know how to find the intervals of monotonicity using derivatives ? Read explanations with lot of examples.  Let’s begin with basics What is Strictly increasing function If a function f(x) increases with increase in x are called strictly increasing function. …

## Differentiation : Meaning formula Rules and Examples

Do you want to know what does differentiation actually means? Or you are just looking for differentiation formula? Or you to want to know how to apply chain rule, product rule and division rule? This post contain all of this with loads of examples. What is differentiation? The rate of change of one quantity with …

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