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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 …

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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 …

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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, …

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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 …

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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 …

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All Hyperbolic functions Formula , Inverse and examples

Do you want to know what is hyperbolic functions? What are some useful hyperbolic functions formula and Identities? This post cover all things about Hyperbolic functions. What are Hyperbolic functions We know that parametric co-ordinates of any point on the unit circle is ; so that these functions are called circular functions and co-ordinates of …

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