Maths

Algebra - Linear Equations Applications

The process of solving real world problems can be simplified using the concepts of Algebra. In Algeb ...

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Cube Roots of Unity

The root of unity is a number which is complex in nature and gives 1 if raised to the power of a pos ...

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Section Formula in 3D

In two dimension geometry, the concept of section formula is implemented to find the coordinates of ...

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Multiplication of Algebraic Expressions

An Algebraic expression is an expression that is built by the combination of integer consta ...

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Algebra Problems

Algebra problems are not only based on algebraic expressions but also on various types of equations ...

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Cumulative Distribution Function

The Cumulative Distribution Function (CDF), of a real-valued random variable X, evaluated at x, is t ...

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Sections of Solids: Slicing and Shadows

We come across a number of objects of different shapes and sizes in our day to day life. There are g ...

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Multiples - Common Multiples and Common Factors

What is a Multiple? A multiple is a result that is obtained by multiplying a number by an integer( ...

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Alternate Angles

In Geometry, one of the special kind of angles is alternate angles. Alternate angles are the set of ...

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Curve

In Mathematics, Geometry is a branch that deals with shapes, sizes, and the properties of figures. G ...

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Semi Circle

Semicircle Definition A semicircle is formed when a lining passing through the center touches the t ...

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Mode of Data & Statistics

Statistics deals with the presentation, collection and analysis of data and information for a partic ...

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Alternate Interior Angles

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. Th ...

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Cylinder

Cylinder is one of the basic shapes we have learned in Mathematics. It is a three-dimensional figure ...

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Sequence and Series

An itemized collection of elements in which repetitions of any sort is allowed is known as a sequenc ...

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Mid Point Theorem

Geometry is one among the fundamental and essential branches of mathematics. This field deals with t ...

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Alternative Hypothesis

Alternative hypothesis defines there is a statistically important relationship between two variables ...

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Data Collection Methods

Data collection is a process of gathering information from all the relevant sources to find a soluti ...

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Set Theory in Maths

Set theory was developed to explain about collections of objects, in Maths. Basically, the definitio ...

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Altitude and Median of a Triangle

You are already aware of the term ‘triangle’ and its properties. Before exploring more about the ...

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Need of Organization of Data

As the time passes and our volume of data increases, the time consumed to search any information fro ...

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Similar Figures

Similar figures are two figures having the same shape. The objects which are of exactly same shape a ...

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Median of Data and Statistics

Statistics deals with the study of analysis, presentation, interpretation, organisation and collecti ...

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Analytic Function

Analytic Functions are defined as per the converging series; that revolves around a particular x for ...

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Decimal Expansion of Rational Numbers

Any number that can be represented in the form of \(\frac{p}{q}\) , such that \(p\) and \(q\) are in ...

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Construction of Similar Triangles

Similar Triangles If Two triangles ∆ABC and ∆PQR are said to be similar, following two conditio ...

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Mean and Variance of Random Variable

Probability distribution of a random variable is defined as a description accounting the values of t ...

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Standard Form in Math

Standard form in Math is mentioned for basically decimal numbers, equations, polynomials, linear equ ...

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Simple Equations and Its Applications

In our day to day lives, we generally come across many situations where we observe simple equations ...

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Measures of Central Tendency, Mean, Median and Mode

Introduction We are all interested in cricket but have you ever wondered that during the match why ...

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Angle Between Two Planes - Planes & Angles

In 3d geometry, position vectors are used to denote the position or location of a point with respec ...

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Decimals

The decimal number system is also known as base 10 since it has ten as its base. Decimal notation re ...

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Simpson's Rule

Simpson’s rule is one of the numerical methods which is used to evaluate the definite integral. Us ...

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Mean Deviation Discrete Frequency Distribution

To present the data in the more compressed form we group it and mention the frequency distribution o ...

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Angle Bisector Theorem

The angle bisector theorem concerns about the relevant lengths of two segments which is divided by a ...

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Word Problems on Decimal Fractions

A fraction represents a part of whole. For example, it tells how many slices of a pizza left or eat ...

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Singular Matrix

A matrix is an ordered arrangement of rectangular arrays of function or numbers, that are written in ...

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Mean

Mean is an average of the given numbers: a calculated central value of a set of numbers. In simple w ...

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Antilog Table

Antilog Definition: The Antilog which is also known as “Anti- Logarithms”, of a number is the in ...

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Decimal To Hex Conversion

In number system, we have learned about binary numbers, decimal numbers, octal numbers and hexadecim ...

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Slope of a Line and Angle Between Two Lines

The measure of steepness and direction of a straight line is given by its slope. The slope is usuall ...

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Local Maxima and Minima

Maxima and Minima are one of the most common concepts in differential calculus. A branch of Mathemat ...

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Application of Integrals

There is a number of methods of calculations among which are functions, differentiation and integrat ...

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Definite Integral - Calculus

Indefinite integrals are implemented when the limits of the integrand are not specified. In case, th ...

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Solution of Quadratic Equation in Complex Number System

Quadratic equation in complex numbers A complex number can be represented in the form of a+bi, whe ...

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Matrix Addition and Subtraction

In mathematics, a matrix is a rectangular array of numbers, expression or symbols, arranged in rows ...

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Degrees to Radians

Degrees to radians conversion is considered while measuring the angles in Geometry. The measure of t ...

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Solving Linear Inequalities

In linear inequality, a linear function is involved. A mathematical expression containing equal-to ...

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Mathematical Symbols

Mathematical symbols are used to perform various operations. The symbols make it easier to refer the ...

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Applications of Trigonometry

Trigonometry can be simply defined as calculations with triangles involved with the study of lengths ...

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Denominator

Meaning of Denominator The divisor of a fraction is called the denominator. A Fraction is one part ...

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Sphere

Sphere Definition A sphere is an object that is an absolutely round geometrical shape in three-dime ...

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Maths Tricks

Mathematics is not only limited to learning from textbooks. There are different learning styles that ...

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Arc

In Mathematics, an “arc” is a smooth curve joining two endpoints. In general, an arc is one of t ...

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Derivative of Inverse Trigonometric Functions

The Inverse Trigonometric functions are also called as arcus functions, cyclometric functions or ant ...

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Square Numbers: Multiplying with the Same Number

What are square numbers ? When a number is multiplied by itself, the product is called as a ‘Squa ...

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Markup

The meaning of markup is the gross or total profit on a particular commodity or service. It is also ...

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Bisection Method

In Mathematics, the bisection method is a straightforward technique to find the numerical solutions ...

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Derivatives of a Function in Parametric Form

There are instances when rather than defining a function explicitly or implicitly we define it using ...

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Square Root

The Square root meaning of a number can be simply be defined as a number that has an equivalent valu ...

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Magnitude of a Vector

As we know, the vector is an object which has both magnitudes as well as direction. Now if have to f ...

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Cartesian Product and Ordered Pairs

Cartesian Product: Cartesian product comprises of two words – Cartesian and product. The word Car ...

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Determinant of a 3 x 3 Matrix

In matrices, determinants are the special numbers calculated from the square matrix. The symbol used ...

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Finding Square Root of a Number by Prime Factorization

Area of a square is the product of its sides. In a square, all the sides have the same length. Hence ...

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Cayley-Hamilton Theorem

In linear algebra, the Cayley–Hamilton theorem (termed after the mathematicians Arthur Cayley and ...

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Determinants

A determinant is a word related to algebra, and it is found in most of the calculations in Mathemati ...

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Square Root of a Number by Repeated Subtraction

You have already learned about the squares and cubes of a number. 1, 4, 9, 16, 25, etc. are the squa ...

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Logarithmic Functions

In Mathematics, before the discovery of calculus, many Math scholars used logarithms to change multi ...

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Census

The census is defined as the procedure of acquiring and recording information about the members of a ...

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Determine the Order of Matrix

Before we determine the order of matrix, we should first understand what matrices are. Matrices are ...

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Standard Deviation Formula

To understand the standard deviation formula let us first understand the meaning of standard deviati ...

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Locus

A locus is a set of points, in geometry, which satisfies a given condition or situation for a shape ...

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Centroid of a Triangle

In Mathematics, centroid defines the geometric center of a two-dimensional plane surface. It is a po ...

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Difference between Area and Perimeter

In mathematics, Area & Perimeter both seem to be important terms in Geometry. One can easily ...

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Standard Identities

What is identity? Standard Identities Consider the following equation: 2(x+3) = 2x+6 What can you ...

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Line Segment

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segmen ...

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Chi-Square Test

A chi-squared test is basically a data analysis on the basis of observations of a random set of vari ...

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Difference between Area and Volume

The term Area & Volume can create a great confusion in understanding the terms. Although the ...

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Mathematical Reasoning and Statements

What is Mathematical Reasoning? Mathematical reasoning or the principle of mathematical reasoning i ...

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Lines and Angles Introduction

Geometry is composed of two ancient Greek words: Geo and Metron. Geo means Earth and Metron means me ...

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Circle Passing Through 3 Points

To draw a straight line the minimum number of points required is two. Given any two points, a straig ...

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Difference between Circle and Sphere

Both the Circle & Sphere both being Circular objects, thus they create a lot of confusion in ...

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Statistics

Statistics is the study of the collection, analysis, interpretation, presentation, and organization ...

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Lines

Geometry is the most practical branch of mathematics that deals with shapes and sizes of figures and ...

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Circumcenter of a Triangle and its Formula

What is the Circumcenter of a Triangle? The circumcenter of a triangle is defined as the point wher ...

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Difference Between Constant and Variables

These terms are the bread and butter of maths terminology and it is important to know what different ...

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Stewart's Theorem

Mathematics is a subject which not just deals with the proofs, but also involves a wide sweep of the ...

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Circumscribed

Circumscribed meaning is, a shape is restricted within any other shape. There is no circumvent for t ...

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Difference Between Fraction and Rational Number

The concept of “fractional number” and “rational numbers” are closely related but are differ ...

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Straight Angle

A straight angle is a part of geometry. You must have learned about the basics of geometry which con ...

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Linear Programming Problem (LPP)

Linear Programming Problems (LPP): Linear programming or linear optimization is a process which take ...

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Coefficient of Determination

In Statistical Analysis, the coefficient of determination method is used to predict and explain the ...

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Difference between Length and Height

Height & Length are one of the common terms used in measurement, but in most of the cases th ...

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Subsets

Subsets are the part of one of the mathematical concepts, Sets. A set is a collection of objects or ...

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Linear Pair of Angles

Linear pair of angles are formed when two lines intersect each other at a single point. The angles a ...

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Combination

In mathematics, a combination is a way of selecting items from a collection where the order of selec ...

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Difference Between Linear and Nonlinear Equations

We come across a lot of equations while solving maths problems. Some equations consist of only numbe ...

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Sum and Difference of Angles in Trigonometric Function

The following equalities in trigonometry will be used in the upcoming discussion to establish a rela ...

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Linear Equations in Two Variables

An equation that can be put in the form ax + by + c = 0, where a, b and c are real numbers and a, b ...

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Commutative Property

In mathematical computation, commutative property or commutative law explains that order of terms do ...

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