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. ...

Sum of Squares

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

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 ...

Compound Statements In Mathematics

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

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 ...

Limits and Continuity

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

Conditional Probability

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

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 ...

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 ...

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 ...

Confidence Interval

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

Difference Between Percentage and Percentile

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

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.  ...

L Hospital Rule

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

Congruence of Triangles: RHS and SSS

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

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 ...

Surface Area of Cuboid

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

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 ...

Conic Sections

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

Difference between Qualitative and Quantitative Research

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

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, ...

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

Conic Sections - Parabola

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

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 ...

Tangent

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

Law of Tangents

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

Conjunction

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

Difference Between Rows and Columns

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

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. ...

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 ...

Determinants and Matrices

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

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 ...

Tautology

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

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 ...

Factor Theorem

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

Difference Between Square & Rhombus

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

T Distribution

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

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 ...

Symmetry - Axis of Symmetry Figures

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

Difference Between Correlation and Regression

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

3D Geometry

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

Isometric Sketch

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

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 ...

Differential Calculus

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

Three Dimensional Shapes

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

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 ...

First Order Differential Equation

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

Differential Equations

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

Transformations

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

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 ...

Fourier series

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

Differential Equations Applications

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

Trapezium

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

Invertible Matrices

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

Representation of Fraction on the Number Line

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

Differentiation

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

Tree Diagram

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

Properties of Inverse Trigonometric Functions

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

Fraction to Percent Conversion

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

Differentiation and Integration

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

Triangle Inequality Theorem

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

Inverse Tan

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

Frequency Polygons

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

Dilation

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

Triangles

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

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 ...

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 ...

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 ...

Triangular Numbers Sequence

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

Fundamental Theorem of Calculus

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

Direct Proportion & Direct Variation

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

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

Inverse Functions

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

Geometry in Daily Life

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

Dispersion and Measures of Dispersion

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

Trigonometric Functions

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

Large Numbers - Introduction

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

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. ...

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 ...

Trigonometric Functions - Domain and Range

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

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 ...

Linear Algebra

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

Distributive Property

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

Complementary Angles: Trigonometric Ratios

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

Intersecting Lines and Non-intersecting Lines

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

Size

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

Dividing Fractions

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

Trigonometry

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

Interpolation

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

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 ...

Divisibility Rules for 13

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

Trigonometry Formulas

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

Integration of Trigonometric Functions

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

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 ...

Divisor

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

Trigonometry Graphs

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

Integration Rules

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

Probability and Statistics

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

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 ...

Trigonometry Values

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