# Maths

##### Reducing Equations to Simpler Form

Reducing equation is a method of rewriting the equation in a simpler form. Certain equations in mathematics ...

##### Area of a Circle

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined ...

##### Recurrence Relation

A recurrence relation is an equation which represents a sequence based on some rule. It helps in finding ...

##### Construction of Parallel Lines

Have you ever observed the railway tracks or the opposite edges of a door? One of the interesting fact ...

##### Area of Ellipse

Definition An ellipse is a curve on a plane such that the sum of the distances to its two focal points ...

##### Partial Derivative

The partial derivative is used in vector calculus and differential geometry. In Mathematics, sometimes ...

##### Rectangle

A Rectangle is a four sided-quadrilateral having all the internal angles to be right-angled (90o). It ...

##### Construction of Square

In this lesson, the steps for constructing a square are explained with diagrams. To recall, a square ...

##### Area of Hemisphere

Definition : A hemisphere is the half part of a sphere. We can find many of the real-life examples of ...

##### Partial Fractions

An algebraic fraction can be broken down into simpler parts known as “partial fractions“. Consider ...

##### Reciprocal

Reciprocal Definition Reciprocal in Mathematics means any expression which when multiplied by another ...

##### Area of Hexagon Formula

Definition : A polygon with six sides and six angles is termed as a Hexagon. Similarly, we have Pentagon ...

##### Pascal's Triangle

History Blaise Pascal was born at Clermont-Ferrand, in the Auvergne region of France on June 19, 1623. ...

##### Real Numbers

Real numbers are simply the combination of rational and irrational numbers, in the number system. In ...

##### Construction of Angles

Constructing angles like 60°, 30°, 120°, 90°, 45°, etc. without the use of a protector is an essential ...

##### Area of Isosceles Triangle

What is an isosceles triangle? An isosceles triangle is one which has at least two sides of equal length. ...

##### PEMDAS

In Mathematics, we do operations like addition, subtraction, multiplication and division. These operations ...

##### Ratio to Percentage

Ratio to percentage conversion process helps to represent a number in ratio form in terms of percentage. ...

##### Constructing Triangles - SSS

The construction of triangle using SSS criteria is possible when all the three sides are known to us. ...

##### Area of Parallelogram

Area of Parallelogram is the region bounded by the parallelogram in a given two-dimension space. A parallelogram ...

##### Pentagonal Prism

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular ...

##### Rational numbers on a number line

A rational number is any real number that can be expressed as a simple fraction or ratio. By definition, ...

##### Constructing Triangles - ASA

For the ASA criterion to be satisfied, the given side must necessarily be the one that is enclosed by ...

##### Area Of Polygon

You are already acquainted with the term area. It is defined as the region occupied inside the boundary ...

##### Percentage: Means of Comparing Quantities

In our daily life, we handle lots of situations, quantities, etc. Sometimes we have to measure and compare ...

##### Rational Number Between Two Rational Numbers

A rational number is a number which can be written in the form of $p/q$ (ratio) where the denominator(q) ...

##### Constructing Angles with a Protractor

Before talking about constructing angles with a protractor, let us quickly recall angles and their types. ...

What is Quadrant? A circle is defined as the locus of all the points that are equidistant from the center. ...

##### Percent to Fraction and Decimal Numbers

Percent and fractions are usually used in our daily life to relate and compare quantity. For example ...

##### Rational Function & Rational Number

Rational Function: In past grades, we learnt the concept of rational number. It is the quotient or ratio ...

##### Connectivity

In Mathematics, the meaning of connectivity is one of the fundamental concepts of graph theory. It demands ...

##### Area of Rectangle

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. The surface area ...

##### Perfect Numbers

What are the Perfect Numbers? Definition: A Perfect Number N is defined as any positive integer where ...

##### Rational and Irrational Numbers

In this article, we are going to explain about rational and irrational numbers in detail and difference ...

##### Cone

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular ...

##### Area of Scalene Triangle

Area of Scalene Triangle Definition: A Scalene triangle has three random (Unequal) sides/lengths and ...

##### Perimeter of Polygons

Have you ever walked around the corner (or edge) of a park. After completion of a whole round the distance ...

##### Random Variable

In probability, a real-valued function, defined over the sample space of a random experiment, is called ...

##### Concurrent Lines

Concurrent lines are the lines, in 2-D geometry, which intersect each other exactly at one point. The ...

##### Area of Shapes

An area is a quantity that expresses the extent of a two-dimensional figure or shape or planar lamina ...

##### Formula of Perimeter Shapes

We come across many shapes in daily life.  Consider a triangle, a rectangle, a square or any other shape. ...

##### Radius of a Circle and Chord

Radius of a circle: A circle can be defined as locus of a point moving in a plane, in such a manner ...

##### Concentric Circles

In Geometry, the objects are said to be concentric, when they share the common center. Circles, spheres, ...

##### Area & Volume of Sphere

A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same ...

##### Perimeter of Triangle

Perimeter of Triangle: The Perimeter of any two-dimensional figure is defined as the distance around ...

##### Quotient Rule

In Calculus, the Quotient rule is a method for determining the derivative (differentiation) of a function ...

##### Components of a Vector

Orthogonal vectors: Vectors can be easily represented using the co-ordinate system in three dimensions. In ...

##### Area of Square Using Diagonals

Apart from the traditional method of finding the area of the square by squaring the sides, there’s ...

##### Permutation

Permutation is an arrangement of objects in a definite order. When we look at the schedules of trains, ...

##### Quartiles

In statistics, Quartiles are the set of values which has three points dividing the data set into four ...

##### Complement of a Set

Sets Definition A well-defined collection of objects or elements is known as a set. Any set consisting ...

##### Area and Perimeter Formula

Area and Perimeter Formula are the two major formulas for any given shapes or sizes in Mathematics. In ...

##### Perpendicular Bisector

While working with practical geometry, you will often find the application of perpendicular bisectors; ...

In Geometry, the shapes or objects are classified based on the number of sides. The different classification ...

##### Comparing Fractions

A fraction is defined as a part of a whole or any number of equal parts. Sometimes it is required to ...

##### Area of a Triangle in Coordinate Geometry

Area of a triangle Triangle is the basic polygon which has 3 edges and 3 vertices. Area of the triangle ...

##### Perpendicular Lines

Perpendicular lines around us: Have you observed the Red Cross sign keenly or the squares of a Rubik’s ...

Quadratic Formula help to evaluate the solution of quadratic equation replacing the factorization method. ...

##### Supplementary and Complementary Angles

Supplementary angles and complementary angles are defined with respect to the addition of two angles. ...

##### Argand Plane & Polar Representation of Complex Number

Argand Plane We all know that the pair of numbers (x,y) can be represented on an XY-plane, where x is ...

##### Pictograph

Suppose you were given some random people’s names and their phone numbers and asked to arrange them. ...

##### Pythagorean Triples

Pythagorean Theorem The integer solutions to the Pythagorean Theorem, a2 + b2 = c2 are called Pythagorean ...

##### Completing The Square Method

Completing the square method is one of the methods to find the roots of the given quadratic equation. ...

##### Arithmetic Geometric Sequence

Arithmetic Geometric sequence is the fusion of an arithmetic sequence and a geometric sequence. An arithmetic ...

##### Pictorial Representation of Data: Bar Graph and Double Bar Graph

As the humanity flourished and population increased, so did the amount of trade and transaction in the ...

##### Pyramid

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. You must have ...

##### Composite Numbers

Definition of composite numbers: Composite numbers are the numbers which have factors other than 1 and ...

##### Arithmetic Mean and Range

Representative Values In statistics, the arithmetic mean (AP) or simply called average is the sum of ...

##### Place Value in Maths

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in ...

##### Properties of Rectangle

A rectangle is a two-dimensional plane figure with four sides. A rectangle is a four-sided polygon in ...

##### Calculus

Calculus is all about the comparison of quantities which vary in a one-liner way. Calculus is the branch ...

##### Arithmetic Mean & Statistics

In the early morning while reading a newspaper, have you observed the daily temperature reports. Well, ...

##### Polygon

What are Polygons? A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A ...

##### Properties of Parallel Lines

Before talking about lines which are parallel to the same line, let us recall what parallel lines are. ...

##### Cardinal Numbers

The cardinal numbers are the numbers which are used for counting of something. These are also said to ...

##### Arithmetic Progression

Arithmetic Progression (AP) is a sequence of numbers in a particular order. If we observe in our regular ...

##### Polynomials

What is Polynomial Polynomials are expressions which are composed of two algebraic terms. It is made ...

##### Properties of Matrices Inverse

If A is a non-singular square matrix, there is an existence of n x n matrix A-1, which is called the ...

##### Define Central Limit Theorem

The Central Limit Theorem defines that the mean of all the given samples of a population is the same ...

##### Arithmetic Series - Sum of n terms

Arithmetic Series A sequence is the set of the outputs of a function defined from the set of natural ...

##### Polynomial Equations

Polynomial equations are one of the major concepts of Mathematics, where the relation between numbers ...

##### Properties of Integers

There are a few properties of integers which determines its operations. These principles or properties ...

##### Centroid

In Geometry, the centroid is an important concept related to a triangle. A triangle is a three-sided ...

##### Associative Property

Mathematical equations have their own manipulative principles. These principles or properties help us ...

##### Polynomial Function

A polynomial function is a function which involves only non-negative integer powers of a variable in ...

##### Properties of HCF and LCM

Properties of HCF and LCM: For the better understanding of the concept LCM (Lowest Common Multiple) and ...

##### Ceva's Theorem

Ceva’s theorem is a theorem regarding triangles in Euclidean Plane Geometry. Consider a triangle ABC. ...

##### Average

An average of a list of data is the expression of the central or typical value of a set of data. Mathematically ...

##### Power Set

While studying mathematical logic, grouping elements into sets and observing the patterns within those ...

##### Properties of Cylinder

Geometry can be divided into two types: Plane Geometry Solid Geometry Plane geometry deals with ...

##### Chance and Probability

Suppose you go to watch a cricket match. When the match begins both the participating teams have an equal ...

##### Axiomatic Probability

In the normal approach to probability, we consider random experiments, sample space and other events ...

##### Prime Factorization

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will ...

##### Properties of Circle

Lines and circles are the important elementary figures in geometry. We know that a line is a locus of ...

##### Chord of a Circle, Its Length and Theorems

Chord of a Circle Definition The chord of a circle can be defined as the line segment joining any two ...

##### Basic Proportionality Theorem & Similar Triangles

Before we understand what Basic proportionality theorem states, we need to understand a few basics of ...

##### Prime Factors

Definition of a Factor Factors are numbers that can be multiplied together to get another number. This ...