Maths

Difference Between Mean and Median

Mathematical mean can simply be defined as the list of numbers that are used to describe a central tendency. ...

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Sum of Squares

Sum of squares refers to the sum of the squares of numbers. It is basically the addition of squared numbers. ...

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Linear Equation in One Variable

A linear equation in one variable is an equation which has a maximum of one variable of order 1. It is ...

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Compound Statements In Mathematics

Compound Statements- Special Words and Phrases used in Compound Statements Mathematical reasoning is ...

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Difference Between Mutually Exclusive and Independent Events

A mutually exclusive event can simply be defined as a situation when two events cannot occur at the same ...

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Limits and Continuity

Limits and continuity concept is one of the most crucial topic in calculus. Both concepts have been widely ...

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Conditional Probability

Imagine a student who takes leave from school twice a week excluding Sunday. If it is known that he will ...

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Difference between Parabola and Hyperbola

The section of the cone that is created when a plane cuts a conical surface parallel to the side of the ...

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Surface Area of a Cylinder

A cylinder is a three-dimensional structure having a circular base. A cylinder can be seen as a set of ...

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Like Fractions and Unlike Fractions

A fraction is a number representing a part of a single whole object or a group of objects. It is defined ...

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Confidence Interval

In Statistics, a confidence interval is a kind of interval calculation, obtained from the observed data ...

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Difference Between Percentage and Percentile

Percentage refers to a mathematical unit of measurement out of a total of 100. Considering the denominator ...

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Surface Area of a Sphere

The surface area of a sphere is defined as the amount of region covered by the surface of a sphere.  ...

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L Hospital Rule

L Hospital rule is a general method of evaluating indeterminate forms such as 0/0 or ∞/∞. To evaluate ...

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Congruence of Triangles: RHS and SSS

You are already aware of the term ‘congruency of triangles’. Two triangles are said to be congruent ...

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Difference Between Place Value and Face Value

The face value of any number can simply be represented as the value of the digit itself. The number system ...

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Surface Area of Cuboid

A cuboid is a three-dimensional figure bounded made up of six rectangular planes, having a different ...

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Length of Tangent on a Circle

A tangent to a circle is defined as a line segment that touches the circle exactly at one point. There ...

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Conic Sections

Conic sections are one of the important topics in Geometry. It is basically a curve, generated by intersecting ...

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Difference between Qualitative and Quantitative Research

Qualitative research on one hand is the preliminary research used to understanding motivations, research ...

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Symmetry and Line of Symmetry: An Introduction

Symmetry is defined as a balanced and a proportionate similarity which is found in two halves of an object, ...

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Vector Addition

Laws of Vector Addition There are different laws of vector addition and they are Adding Vectors: A ...

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Conic Sections - Parabola

Parabola is locus of all points which are equally spaced from a fixed line and a fixed point. The ...

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Difference between Relation and Function

Relation - Two or more sets can be related to each other by any means. Consider for an example two sets ...

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Tangent

Tangent Meaning in Trigonometry In trigonometry, the tangent of an angle is the ratio of the length ...

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Law of Tangents

The laws of tangent (Law of Tan) describes the relation between difference and sum of sides of a right ...

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Conjunction

A conjunction is a statement formed by adding two statements with the connector AND. The symbol for conjunction ...

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Difference Between Rows and Columns

Rows and columns are used to properly distinguish categories, classification, types and more when they ...

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Tangent of a Circle

What is a Circle? A circle is a set of all points in a plane which are equally spaced from a fixed point. ...

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Law of Cosines

The law of cosines or Cos law is one of the trigonometric laws which is used to find the angles or sides ...

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Determinants and Matrices

Determinants and matrices, in linear algebra, are used to solve linear equations by applying Cramer’s ...

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Difference Between Simple Interest and Compound Interest

Simple interest can be defined as the principal amount of loan or deposit, a person makes into their ...

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Tautology

A tautology is a compound statement which is true for every value of the individual statements. The word ...

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A Key to the Laws of Exponents

Can you read 10,000,000,000,000,000,000,000? These massive natural numbers are not easy to read, recognize ...

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Factor Theorem

In mathematics, factor theorem is used as a linking factor and zeros of the polynomial. If f(x) is a ...

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Difference Between Square & Rhombus

Though both are parallelograms, they differ in their diagonal lengths and angles. These two shapes have ...

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T Distribution

The T Distribution also called the student’s t-distribution, is utilised while making assumptions about ...

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Isosceles Triangle, Equilateral Triangle, Scalene Triangle

A triangle is a three-sided polygon, which has 3 vertices and 3 sides enclosing 3 angles. The sum of ...

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Symmetry - Axis of Symmetry Figures

We see symmetry all around us, structure of monuments, bodies of insects, human skeletal system, man ...

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Difference Between Correlation and Regression

Correlation and Regression are the two research based on variable distribution. A variable distribution ...

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3D Geometry

3D geometry involves the mathematics of shapes in 3D space and involving 3 coordinates which are x-coordinate, ...

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Isometric Sketch

Isometric Sketching or isometric drawing is a pictorial representation of an object in which all the ...

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Determinant To Find Area of a Triangle

Suppose we are given three points in the Cartesian plane as \( (x_1 , y_1) , (x_2,y_2) \space and \space ...

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Differential Calculus

Differential calculus deals with the rate of change of one quantity with respect to another. Or you can ...

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Three Dimensional Shapes

Geometry is one of the practical sections of Mathematics which involves various shapes and sizes of different ...

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Is 2 a Prime Number?

Is number 2 a prime number or not? Since the number two is an even number, many believe that 2 is not ...

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First Order Differential Equation

A first-order differential equation is defined by an equation  dy/dx =f (x,y) of two variables x and ...

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Differential Equations

A differential equation is an equation which contains one or more terms which involve the derivatives ...

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Transformations

The geometric transformation is a bijection of a set that has a geometric structure by itself or another ...

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Is 101 a Prime Number?

101 is a prime number or not? For a number to be classified as a prime number, it has to have exactly ...

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Fourier series

Most of the phenomena studied in the domain of Engineering and Science are periodic in nature. For instance, ...

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Differential Equations Applications

Differential Equation applications have significance in both academic and real life. An equation denotes ...

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Trapezium

A trapezium is a type of quadrilateral, which has only two parallel sides and the other two sides are ...

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Invertible Matrices

A matrix is an array of numbers arranged in the form of rows and columns. The number of rows and columns ...

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Representation of Fraction on the Number Line

Fractions expand our number system beyond whole numbers and integers. They help us denote any decimal ...

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Differentiation

Functions are generally classified in two categories under Calculus, namely (i) Linear functions (ii) ...

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Tree Diagram

The visual way of representing a hierarchy in a tree-like structure is called a tree diagram. A typical ...

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Properties of Inverse Trigonometric Functions

There are a few inverse trigonometric functions properties which are crucial to not only solve problems ...

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Fraction to Percent Conversion

Fractions and percent are the two terms we generally use in comparing quantities. Percentage or percent ...

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Differentiation and Integration

Differentiation is the essence of Calculus. A derivative is defined as the instantaneous rate of change ...

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Triangle Inequality Theorem

A polygon bounded by three line segments is known as the Triangle. It is the smallest possible polygon. ...

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Inverse Tan

Inverse tan is the inverse function of the trigonometric function ‘tangent’. It is used to calculate ...

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Frequency Polygons

A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display ...

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Dilation

In Geometry, there are four basic types of transformations. They are: Rotation Translation Reflection Resizing ...

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Triangles

Triangles are a three-sided polygon that consists of three edges and three vertices. The most important ...

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Inverse of a 3 by 3 Matrix

To find the Inverse of a 3 by 3 Matrix is a little critical job but can be evaluated by following few ...

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Fundamental Principle of Counting

On a bright sunny day, you go for shopping. You select a nice pair of jeans and decide to pay using your ...

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Direction Cosines and Angle Between Two Lines

Position Vector If O is taken as reference origin and A is any arbitrary point in space then the vector ...

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Triangular Numbers Sequence

The triangular number sequence is the representation of the numbers in the form of equilateral triangle ...

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Fundamental Theorem of Calculus

The fundamental theorem of calculus is a theorem that links the concept of integrating a function with ...

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Direct Proportion & Direct Variation

In our day-to-day life, we observe that the variations in the values of various quantities depend upon ...

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Trigonometric Addition Formulas

The trigonometric addition formulas can be applied to simplify a complicated expression or find an exact ...

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Inverse Functions

An inverse function or an anti function is defined as a function, which can reverse another function. ...

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Geometry in Daily Life

Geometry is an ancient science and an important branch of mathematics. The ancient mathematician Euclid ...

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Dispersion and Measures of Dispersion

What is Dispersion in Statistics? Dispersion is the state of getting dispersed or spread. Statistical ...

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Trigonometric Functions

Trigonometric functions are also known as a Circular Functions can be simply defined as the functions ...

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Large Numbers - Introduction

Fear of big numbers is nothing to be ashamed of. It’s common, more common than one would think. Large ...

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Proofs of Integration Formulas

The integration of a function f(x) is given by F(x) and it is given as: ∫f(x)dx = F(x) + C Here R.H.S. ...

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Distance From Point To Line & Distance Between Parallel Lines

Distance of Point to a Lines: The general equation of a line is given by Ax + By + C = 0. Consider a ...

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Trigonometric Functions - Domain and Range

All trigonometric functions are basically the trigonometric ratios of any given angle. For example if ...

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Composition of Functions & Inverse of a Function

Composite Functions When two functions are combined in such a way that the output of one function becomes ...

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Linear Algebra

Linear algebra is the most applicable area of mathematics. It is one of the fields, that is accepted ...

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Distributive Property

The Distributive Property is an algebraic property that is used to multiply a single value and two or ...

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Complementary Angles: Trigonometric Ratios

We know that complementary angles are the set of two angles such that their sum is equal to 90°. For ...

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Intersecting Lines and Non-intersecting Lines

Before talking about what intersecting lines and non-intersecting lines are, let us recall the basic ...

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Size

Size is always understood or talked about in relation to some other thing. Size is a relative concept. ...

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Dividing Fractions

Fractions are not integers and are represented in ratios, where both the numerator and denominator are ...

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Trigonometry

Trigonometry is one of the important branches in the history of mathematics and this concept is given ...

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Interpolation

Interpolation is a method of fitting the data points to represent the value of a function. It has various ...

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Methods to Draw a Line Segment

We see a number of objects of different shapes and sizes in our day to day life. They help us shape and ...

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Divisibility Rules for 13

Divisibility rule has come to check whether an integer (dividend) can be completely divided by any other ...

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Trigonometry Formulas

Trigonometry is a branch of Mathematics that majorly deals with triangles. Trigonometry is also known ...

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Integration of Trigonometric Functions

Integration of Trigonometric functions involves basic simplification techniques. These techniques use ...

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Pictograph and Interpretation of a Pictograph

A pictograph is a way to represent data using images. Each image in it represents a certain number of ...

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Divisor

In Mathematics, Divisor means a number which divides another number. It is a part of the division process. ...

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Trigonometry Graphs

To sketch the trigonometry graphs of the functions – Sin, Cos and Tan we need to know the period, phase, ...

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Integration Rules

Integration is used to find many useful things like area, volumes, central points, etc. It is mostly ...

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Probability and Statistics

Probability And Statistics are the two important concepts in Maths. Probability is all about chance. ...

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Domain and Range of a Relation

Relations: A Cartesian product of two sets A and B is a collection of all the ordered pairs (a,b) such ...

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Trigonometry Values

Trigonometry values of different ratios, such as sine, cosine, tangent, secant, cotangent, and cosecant, ...

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