Maths

Gamma Distribution

The gamma distribution term is mostly used as a distribution which is defined as two parameters - sh ...

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Geometry Symbols

Geometry is a branch of mathematics that deals with the properties of configurations of geometric ob ...

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What is BODMAS?

The evaluation of an expression involving numbers is one of the basic tasks in arithmetic. If an exp ...

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Fundamental Theorem of Arithmetic

Fundamental Theorem of Arithmetic states that every integer greater than 1 is either a prime number ...

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Linear Programming Problems - Graphical Method

Graphical Method of Solving Linear Programming Problems We already know how to plot the graph of an ...

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Differential Equation and its Types

Differential Equation An equation with one or more terms that involves derivatives of the dependent ...

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Frustum of a Cone

Volume of a frustum Frustum is a Latin word which means ‘piece cut off’. When a solid (generall ...

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Graphic Representation of Inverse Trigonometric Function

While preparing for JEE Mains, JEE Advanced or 12th Boards, Inverse Trigonometric Function is one of ...

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Volume of Sphere

All the things like football and basketball are examples of three-dimensional geometrical figures or ...

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Frequency Distribution Table Statistics

Frequency Distribution Table – Data Collection: In our day to day life, recording of information ...

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Graph Theory

Graph Theory is the study of the graph. A graph is determined as a mathematical structure which repr ...

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Volume of Hemisphere

In three-dimensional shapes, the solids have three different measurements or dimensions like length, ...

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Fractions

Fractions simply tell how many parts of a whole (number or any certain value). In other words, it is ...

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Greater than Symbol

In mathematics, the greater than symbol is a basic mathematical symbol which is used to represents t ...

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Volume of Cube, Cuboid and Cylinder

Cube, cuboid and cylinder are three-dimensional shapes having circular or rectangular faces. A cube ...

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Formation of Differential Equations

For any given differential equation, the solution is of the form f(x,y,c1,c2, …….,cn) = 0 where ...

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Green’s Theorem

An important theorem of integration is “Green’s Theorem”. Green’s theorem is mainly used for ...

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Volume of a Cube

What is the Volume of a Cube? Definition: The volume of a cube defines the number of cubic units, t ...

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Finite and Infinite Sets

Finite and infinite sets are two of the different types of sets. The word ‘Finite’  itself des ...

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Harmonic Mean

In Statistics, to represent the data or value in series, the measure of central tendency is used. A ...

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What is Volume?

The measurement of the total space occupied by a solid is the volume of a three-dimensional figure. ...

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Finding Area Between a Curve and a Line

Example: Find the area of the region in the first quadrant enclosed by the x-axis, the line y=x and ...

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HCF and LCM

HCF and LCM Formula HCF (Highest Common Factor): As has been taught in Factors and multiples, the ...

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Vertical Line

In a graph, a line parallel to Y-axis is called Vertical Line. It is a straight line which goes from ...

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Fibonacci Numbers

In Maths, the Fibonacci numbers are the numbers ordered in a distinct Fibonacci sequence. These numb ...

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Heptagon

In Geometry, the shape that is bounded by at least three straight lines or at least three interior a ...

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Venn Diagrams

To represent the relations and operations among the sets, we use a Venn diagram. The name is given a ...

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Factors of a Number

Factors of a number are defined as numbers or algebraic expressions that divide a given number/expre ...

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Histogram

Statistics is a stream of mathematics that is applied in various fields. The numerals are repeated i ...

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Vectors Joining Two Points

You might already have come across the term vector. A quantity which has magnitude, as well as direc ...

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Factorization of Polynomials

The process by which we determine what has to be multiplied to obtain the given value, which we do m ...

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Horizontal Line

In coordinate geometry, a line is said to be horizontal if two points on the line have the same Y- c ...

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Variance and Standard Deviation

Variance and Standard Deviation are the two important measurements in statistics. Variance is a meas ...

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Factorisation

In Mathematics, factorisation or factoring is defined as the breaking or decomposition of an entity ...

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How to Calculate Percentage

Percentage Meaning Percentage means a number or a ratio expressed in terms of fractions of 100. It ...

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Variables and Constants in Algebraic Expressions

Algebraic Expressions Consider the following algebraic expression: \(2x^{3} + 3x^{2} + 4xy + 1\) ...

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Factorial

What is Factorial? In Mathematics, factorial is a simple thing. Factorials are just products. An ex ...

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Elementary Transformation of Matrices

Two matrices are equal when they are of the same order and their corresponding elements are equal. T ...

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Upper Triangular Matrix

The upper triangular matrix has all the elements below the main diagonal as zero. Also, the matrix w ...

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Extrapolation

In Statistics, Extrapolation is a process of estimating the value beyond the distinct range of the g ...

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Vector - Direction and Ratios

Vector: Direction cosines Before discussing directional cosines of a vector, let us discuss the pos ...

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Unit Vector

A vector is a quantity which has both magnitudes, as well as direction, is a unit vector. As a unit ...

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Exterior Angles of a Polygon

Exterior angles of a polygon are formed when by one of its side and extending the other side. The su ...

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How to Find Prime Numbers?

There are various ways to determine whether a number is prime or not. The best way for finding prime ...

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Union of Sets and Venn Diagram Examples

Union of sets: The basic operations that can be performed on sets are as follows: \(~~~~~~~~~~~\)i ...

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Exponents and Powers

Exponents Meaning Let’s learn about Exponents and Powers in details in this article. Exponents ar ...

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Represent Linear Inequalities in One Variable on Number Line

Algebraic Solution of Linear Inequalities in One Variable We know different types of linear inequal ...

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Uniform Distribution

What is Uniform Distribution A continuous probability distribution is a Uniform distribution and is ...

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Exponential Functions

An exponential function is a Mathematical function in form f(x) = ax , where “x” is a variable ...

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How to Solve Linear Differential Equation

An equation with one or more terms, consisting of the derivatives of the dependent variable with res ...

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Understanding Fractions in Relation with Division

Fractions can turn into a factor of great fear and trepidation for children. But if one takes the ti ...

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Exponential Distribution

The exponential distribution is a probability distribution which represents the time between events ...

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Hyperbola - Conic Sections

A hyperbola is the locus of all those points in a plane such that the difference in their distances ...

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Types of Triangles

There are different types of triangles with respect to the length and measure of the lines and angle ...

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Experimental Designs

Statistics deals with the study of gathering, observing, calculating, and interpreting the numerical ...

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Identity Matrix

Identity Matrix is also called as a Unit Matrix or Elementary matrix. Identity Matrix Definition A ...

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Types of Quadrilaterals

A quadrilateral is a polygon which has the following properties 4 vertices and 4 sides enclosing ...

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Events and Types of Events in Probability

What are Events in Probability? A probability event can be defined as a set of outcomes of an exper ...

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Improper Fractions

In arithmetic, there are three types of fractions. Proper fraction, improper fraction, and mixed fra ...

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Types of Graphs

There are different types of graphs in mathematics and statistics which are used to represent data i ...

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Even Numbers

Even Numbers are integers that are exactly divisible by 2. Whereas an odd number cannot be exactly d ...

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Increasing and Decreasing Functions & Monotonicity

Increasing and Decreasing Functions Before explaining Increasing and decreasing function, let us un ...

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Events in Probability

The entire possible set of outcomes of a random experiment is sample space sample space of that expe ...

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Evaluating Definite Integrals

If the upper limit and the lower limit of the independent variable of the given function or integran ...

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Independent Events and Probability

If probability of occurrence of an event A is not affected by occurrence of another event B, then A ...

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Types of Linear Programming

Linear programming or linear optimization is a process which takes into consideration certain linear ...

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Euclid Geometry: Euclid's Fifth Postulate

Euclid Geometry Euclid, a teacher of mathematics in Alexandria in Egypt gave us a remarkable idea r ...

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Infinity

What is Infinity? Infinity is an idea of something that has no end. In general, it is something wit ...

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Coordinate Geometry in Two Dimensional Plane

Two-dimensional coordinate geometry deals about the coordinates which are represented in a coordinat ...

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Euclid's Division Lemma: An Introduction

According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist un ...

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Integers

In Maths, integers are the numbers which can be positive, negative or zero. These numbers are used t ...

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Triviality

Triviality is used to describe a result that needs very less or no effort to prove or derive it. Its ...

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Estimating Square Root and Cube Root of Numbers

In case we have a number with many digits, it will be very difficult for us to calculate the square ...

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Integral Test

Sequences and series act as a building block for the analysis process. The continuity of the functio ...

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Trigonometry Table

Trigonometry Table 0 to 360: Trigonometry is a branch in Mathematics, which involves the study of th ...

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Equivalence Relation

A relation R on a set A is said to be an equivalence relation if and only if the relation R is refle ...

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Integration by Parts

Integration by parts is a special technique of integration of two functions when they are multiplied ...

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Trigonometry Formulas List

Trigonometry is basically the study of triangles where ‘Trigon’ means triangle and ‘metry’ m ...

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Equation of Plane - Intercept Form

Vectors are physical quantities which like other quantities have a magnitude but also a direction li ...

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Integration By Substitution - Calculus

The integration of a function f(x) is given by F(x) and it is represented by: ∫f(x)dx = F(x) + C ...

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Trigonometry Angles

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry ...

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Equation of a Plane

A Vector is a physical quantity that with it’s magnitude also has a direction attached to it. With ...

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Intercept

An intercept is a point on y-axis, through which the slope of the line passes. It is the value of y- ...

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Trigonometric Ratios of Standard Angles

Trigonometric Ratios: There are six trigonometric ratios that relates sides of right angle triangle ...

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Equation of a Circle

Before deriving the equation of a circle, let us focus on what is a circle?. A circle is a set of al ...

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Percentages: Interpreting and Converting Percentages

We have often seen percentage as a way to evaluate a student’s performance in examinations. It sim ...

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Trigonometric Ratios

In trigonometry, trigonometric ratios are derived from the sides of a right-angled triangle. There ...

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Equal and Equivalent Sets

Two sets can either be equivalent, equal or unequal to each other. Let us look at them one by one. ...

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An Introduction to Angle Sum Property of a Triangle

Triangle: In geometry, triangle is one of the basic shapes. Triangle is the smallest polygon. It co ...

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Trigonometric Identities

Trigonometric Identities are useful whenever trigonometric functions are involved in an expression o ...

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Empirical Probability

If I were to ask you which cricket team had a greater chance of beating India- Australia or South Af ...

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Introduction to Data

You unconsciously see and use data in your day to day life. You must have watched the weather forec ...

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Trigonometric Equations

The equations that involve the trigonometric functions of a variable are called trigonometric equati ...

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Elimination Method

The elimination method is used to solve linear equations in two variables, where one of the variable ...

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Inverse Cosine

Inverse Cosine is one of the Trigonometric functions. Each trigonometric function has an inverse fun ...

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Triangular Prism

A triangular prism is a polyhedron, made up of two triangular bases and three rectangular sides. By ...

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Eigenvalues

Eigenvalues are associated with eigenvectors in Linear algebra. Both terms are used in the analysis ...

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Inverse Laplace Transform

If y(a) is a unique function which is continuous on [0, \(\infty\)] and also satisfy L[y(a)](b) = Y( ...

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Triangle Proportionality Theorem

Two figures are said to be similar figures if they have same shape irrespective of its dimensions. F ...

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Dot Product of Two Vectors

The dot product of two vectors is the product of the magnitude of the two vectors and the cos of the ...

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