# Maths

##### Congruence of Triangles

Congruence is the term used to define an object and its mirror image. Two objects or shapes are said ...

##### Ratios and Proportion

Ratio is just a way to compare two quantities while the proportion is an equation which shows that two ...

##### Partial Differential Equation

A Partial Differential Equation commonly denoted as PDE is a differential equation containing partial ...

##### Area of Pentagon

A Pentagon is a five-sided polygon in geometry. It can be regular as well as irregular. The sides and ...

##### Congruence of Triangles Class 9

Congruence of triangles class 9 helps the students to understand the concept of congruence in a different ...

##### Functions & Relations - Real Functions & Algebra of Functions

Functions are one of the very important concepts in mathematics which have got numerous applications ...

##### Pareto Chart

A Pareto chart is a bar graph or the combination of bar and line graphs. The purpose of using this chart ...

##### Area of a Kite

Rhombus- A rhombus is a quadrilateral in which all the four sides are of equal length. Unlike square, ...

##### Congruence in Geometry - Congruent Figures and Lines

In Geometry, congruence is a term used to define two objects that have same dimensions and shape. Moreover, ...

##### Reciprocal and Division of Fractions

A fraction is a numerical quantity that is not a whole number. Rather it represents a part of the whole. For ...

##### Parallelogram Law

In Mathematics, the parallelogram law is the fundamental law that belongs to elementary Geometry. This ...

##### Area of Hollow Cylinder

A hollow cylinder is one which is empty from inside and has some difference between the internal and ...

##### Operations on Complex Number

Modulus of Complex Number Let $z$ = $x~+~iy$ be a complex number, modulus of a complex number $z$ ...

##### Rectangular Prism

In Mathematics, Geometry is the study of shapes and configuration of objects. A rectangular prism is ...

##### Angle Relationships: Parallel Lines & Transversal

When a line intersects two lines at distinct points, it is called as a transversal. In fig. 3 the line ...

##### Area of Hexagon

Definition : Regular Hexagon A Hexagon is a closed polygon made of six line segments having six internal ...

##### Consistent and Inconsistent Systems

A pair of linear equations in two variables in general can be represented as $a_1 x + b_1 y + c_1$ ...

##### Recursive Function

Recursive Function is a function which repeats or uses its own previous term to calculate subsequent ...

##### Parallelepiped

Parallelepiped is a 3-D shape whose faces are all parallelograms. It is obtained from a Greek word which ...

##### Area of Equilateral Triangle

The area of an equilateral triangle is the amount of space that it occupies in a 2-dimensional surface. ...

##### Constructing Triangles

A triangle is a three-sided polygon. It has three sides, three vertices  and three angles. We know ...

##### Reflection

In Geometry, reflection is one of the four types of transformations. The four basic transformations are Translation Reflection Rotation Dilation ...

##### Orthogonal Matrix

When the product of a matrix to its transpose gives identity value, then the matrix is said to be an ...

##### Area of Triangle

The area of a triangle is defined as the total space that is enclosed by any particular triangle. The ...

##### Constructing Triangles, SAS

To satisfy the condition for SAS, two sides and enclosed angle must be given (or known) to us. The construction ...

##### Reflection Symmetry

You may have often heard of the term ‘symmetry’ in your day to day life. If any object can be divided ...

##### Ordinate

The ordinate is the second component of an ordered pair. For example, if (x, y) is an ordered pair, then ...

##### Area of an Octagon

An octagon is a two-dimensional geometrical plane figure. In Geometry, we have studied different polygon ...

##### Line Segment: Construct a Copy of Line Segment

Geometry is an ancient science and an important branch of mathematics. Everyday we come across many shapes ...

##### Relation Between HCF and LCM

To learn the relation between H.C.F. and L.C.M. of two numbers or the given n numbers first we need to ...

##### What is Optimization

Mathematical optimization is the selection of the best element based on a particular criterion from a ...

##### Area Between Two Curves - Calculus

As we all know that integration means calculating the area by dividing the region into very large number ...

##### Relation Between Mean Median and Mode

In statistics, for a moderately skewed distribution, there exists a relation between mean, median, and ...

##### Operations on Rational Numbers

Rational Numbers are any real numbers that can be expressed as a simple fraction or ratio. Thus, a rational ...

##### Linear Equations: Applications

The knowledge of mathematics is frequently applied through word problems and the applications of linear ...

##### Triangle Construction

A Triangle is a three sided Polygon made up of Three sides having three angles. It is to be noted that ...

##### Relations and Functions

“Relations and Functions” is one of the most important topics in algebra. Relations and functions - ...

##### Set Operations: Intersection and Difference of Two Sets

Intersection of Sets The intersection of two sets A and B which are subsets of the universal set U, ...

##### Application of Linear Graphs

In our day-to day life, we observe variation in value of different quantities depending upon the variation ...

##### Construction of Perpendicular Lines

When two lines intersect to form right angles then such lines are known as perpendicular to each other. ...

##### Relations and its Types

Relations and its types concepts are one of the crucial algebra topics in mathematics. What are Relations? A ...

##### One to One Function

One to one function basically denotes the mapping of two sets. A function g is one-to-one if every element ...

##### Apolloniu's Theorem

In mathematics, theorems are the statements which have proven results based on the previously set statements, ...

##### Continuity and Differentiability

Continuity and Differentiability is one of the most important topics which help students to understand ...

##### Relative Frequency

The number of times an event occurs is called a frequency. Relative frequency is an experimental one, ...

##### Odd Numbers

Odd numbers are the numbers that cannot be divided into two separate groups evenly. These numbers are ...

##### Angle Sum Property of a Triangle & Exterior Angle Theorem

Angle Sum Property of a Triangle Triangle is the smallest polygon which has three sides and three interior ...

##### Continuous Integration

By bringing together minuscule data integrals assign a number to a function in such a manner that describes ...

##### Remainder Theorem and Polynomials

An expression of the form axn + bxn-1 + cxn-2 + ………………. + kx + l, where each variable has ...

##### Angle of Elevation

The angle of elevation is a widely used concept related to height and distance, especially in trigonometry. ...

##### Conversion of Units

What is Unit Conversion? The use of a unit depends on the situation, such as the area of a room is expressed ...

##### Representation of a Function

Functions, as important they are, is their representation. Usually, functions are represented using formulas ...

##### Oblique Sketch

The oblique sketching is a pictorial representation of an object, in which the diagram is intended to ...

##### Acute Angle Triangle

In geometry, a triangle is a closed two-dimensional plane figure with three sides and three angles. A ...

##### Convert Decimal to Fraction

Decimal: In terms of computer, decimal numbers are the numbers which have base 10. But in Mathematics, ...

##### Right Angled Triangle: Constructions (RHS)

This Criteria for construction of Triangle is possible when the Hypotenuse and one side from the remaining ...

##### Number Theory

Number theory is a branch of mathematics which helps to study the set of positive whole numbers, say 1, ...

##### Addition and Subtraction of Algebraic Expressions

A combination of variables, constants, and operators constitute an algebraic expression. The four basic ...

##### Convert Octal to Binary

In order to convert octal to binary number, we have to follow a few steps. Octal numbers have base 8 ...

##### Right Angle Triangle Theorem

Triangle is a polygon which has three sides and three vertices. Triangles having same shape and size ...

##### 2D Shapes

In geometry, 2d shapes and 3d shapes are explained widely to make you understand the different types ...

##### Coordinate Geometry Formulas

Coordinate geometry is the study of geometry using the coordinate points. In coordinate geometry, the ...

##### Rolle's Theorem and Lagrange's Mean Value Theorem

Rolle’s Theorem is a special case of the mean value of theorem which satisfies certain conditions. ...

##### Representing Numbers in General Form

We come across numbers everyday in our life. We buy a commodity with money and measure its quantity. ...

##### 3D Shapes

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

##### Coordinate System

Mathematics in ancient days was divided into two branches ‘Algebra’ and ‘Geometry’. Algebraic ...

##### Root Mean Square

What is Root Mean Square (RMS)? Statistically, the root mean square (RMS) is the square root of the ...

##### Number Patterns in Whole Numbers

Numbers have fascinated humans since ages, be it the mathematicians or statisticians. There is so much ...

Addition of Fractions depends on one main factor that is the denominator of the fraction to be added. ...

##### Co - Prime Numbers

What are numbers? Try recalling the different types of numbers that you have come across, natural numbers, ...

##### Rotation

The meaning of rotation in Maths is the circular motion of an object around a center or an axis. In real-life, ...

##### Null Hypothesis

In mathematics, Statistics deals with the study of research and surveys on the numerical data. For taking ...

##### Additive Identity Vs Multiplicative Identity

In the world of Numbers which we deal with on daily basis, many of the properties of real numbers are ...

##### Correlation and Regression

Correlation Analysis Correlation analysis is applied in quantifying the association between two continuous ...

##### Sample Space

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space ...

##### Negative Numbers: Connection to Daily Life

Math might seem a little difficult to a few people. They have few questions like why do we study maths? ...

##### Adjacent Angles & Vertical Angles

The measure of rotation of a ray, when it is rotated about its endpoint is known as the angle formed ...

##### Cos 0

The trigonometric functions are also known as an angle function that relates the angles of a triangle ...

##### Scalar Triple Product

By the name itself, it is evident that scalar triple product of vectors means the product of three vectors. ...

##### Natural Numbers and Whole Numbers

In Mathematics, Number system consists of all types of numbers which is used to perform various calculations. ...

##### Cos 60 Degrees

In trigonometry, Sine, Cosine and Tangent are the three major or primary ratios, which are used to find ...

##### Scalene Triangle

Scalene Triangle is one of the types of triangles which is mentioned in geometry.  We are going to discuss ...

##### Mutually Exclusive Events

In probability theory, two events are said to be mutually exclusive if they cannot occur at the same ...

##### Algebra as Patterns

If you think of Mathematics as a language, then Algebra would be that part of the language which describes ...

##### Cosine Function

Cos function (or cosine function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. ...

##### Scatter Plot

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents ...

##### Multiplying Fractions

Multiplying fractions is as simple as multiplying any numbers in the number systems. A fraction represents ...

##### Algebra: Expressions and Equations

Mathematics is known as “Queen of Science”. We use concepts of mathematics everywhere, every day, ...

##### Counting Numbers

All the natural numbers are called counting numbers. These numbers are always positive like 1,2,3,4,5,6,…… ...

##### Sec 60

In this article, let us discuss in detail about the value for sec 60 degrees and how the values are derived ...

##### Multiplication Tricks

Multiplication tricks are required to calculate long and difficult multiplication problems. For single ...

##### Algebraic Equations

What are Algebraic Equations? An algebraic equation can be defined as a mathematical statement in which ...

##### Cross Multiplication - Pair of Linear Equations in Two Variables

In general, a pair of linear equations in two variables can be represented as $a_1 ~x~+~b_1~y~+~c_1$ ...

##### Secant of a Circle

To learn about the Secant of a circle, let’s recall what a circle is. A circle is a closed loop. In ...

##### Multiplication Rule of Probability

For two events A and B associated with a sample space $S$, the set $A∩B$ denotes the events in ...

##### Algebraic Identities

The algebraic equations which are true for all values of variables in them are called algebraic identities. ...

##### Cube

Cube is a solid three-dimensional figure, which has 6 square faces or sides. We will discuss here its ...

##### Second Order Derivative

For understanding second order derivative, let us step back a bit and understand what a first derivative ...

##### Multiplication of Fractions

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