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

## Rational Root theorem : Concept, Proof and Examples

Do you want to know what is Rational root theorem? Or you looking for its proof? This post will cover not only theorem and its proof but also how to use this to find roots of polynomial equation. What is Rational Root theorem Statement: Let anxn + an-1xn–1 + … + a1x + a0 = …

## How to do Integration by Substitution Method with Examples

Do you want to know how to Solve integration by substitution? Or how would you know that it is going to be substitution ?  Read this post carefully to understand. Before we move ahead, it’s important to know that If you don’t know about Integration formulas, you must Learn how to use integration formulas What …

## Learn How to use Integration formula with examples

Are you looking for all integration formula with examples or you want to know how to integrate a function? I have given my best to explain basics of integration. List of Integration formulas What is Integration A function is called a primitive or an antiderivative of a function if The process by which we find …

## Integration by Parts formula proof and Examples

Do you want to know how to apply integration by parts formula? Or you are looking for some amazing examples on it. I have covered very well explanation of it. What is Integration by Parts formula If u and v are two functions of x, then    i.e., the integral of the product of two …

## Graph Range and Sign of quadratic expression

To understand Quadratic equations further we must know graph, Range and Sign of Quadratic expression. These three concepts sometimes becomes the major part of the questions when hunting for roots doesn’t make more sense. What is a quadratic expression An expression of the form , where a,b,c are real number and a is non zero …

## Sine rule cosine rule and Napiers analogy : Formula and examples

Are you willing to understand sine rule cosine rule and law of tangents. These three laws are very important properties of a triangle. I have added some good number of examples to make things pretty clear. If you are new to trigonometry, I recommend you to read Trigonometric Ratios and Identity The Law of sines …

## Arithmetic Geometric and Harmonic mean Formula and Examples

Are you looking forward to understand what is arithmetic mean, geometric mean and harmonic mean? Or how are they related to each other? This post covers in depth understanding of AM,GM and HM. Before you read ahead make sure you are well versed with Arithmetic progression Geometric progression Harmonic progression If you have basic understanding …

## Equation of a plane in different forms with Examples – 3D

Do you know what a plane is ? or how to write equation of a plane which pass through 3 non collinear points or a plane containing two intersecting lines? To get all the answers regarding plane read the post carefully. Let’s begin with basics. What is a plane ? A plane means an infinite …

## Direction cosines and Direction Ratios : Meaning and Examples

Are you looking forward to understand what is direction cosines and direction ratios popularly known as dc’s and dr’s? Or you want to know how to find direction cosines and direction ratios for a given vector or straight line. This post cover all of that. Let’s begin… What are direction cosines Any line or vector …

## Equation of a circle in different forms with examples

Are you looking for methods to find out equation of a circle? Depending upon the inputs we can find out equation of a circle in multiple ways. Let’s go through some of the techniques to find that out. We will begin with basics and prove each and everything along with. What is a circle A …

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