Maths

Congruence of Triangles

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

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Ratios and Proportion

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

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Partial Differential Equation

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

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Area of Pentagon

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

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Congruence of Triangles Class 9

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

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Functions & Relations - Real Functions & Algebra of Functions

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

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Pareto Chart

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

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Area of a Kite

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

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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, ...

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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 ...

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Parallelogram Law

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

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Area of Hollow Cylinder

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

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Operations on Complex Number

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

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Rectangular Prism

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

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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 ...

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Area of Hexagon

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

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Consistent and Inconsistent Systems

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

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Recursive Function

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

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Parallelepiped

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

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Area of Equilateral Triangle

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

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Constructing Triangles

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

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Reflection

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

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Orthogonal Matrix

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

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Area of Triangle

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

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Constructing Triangles, SAS

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

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Reflection Symmetry

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

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Ordinate

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

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Area of an Octagon

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

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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 ...

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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 ...

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What is Optimization

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

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Area Between Two Curves - Calculus

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

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Construction of Rhombus

Before talking about the construction of quadrilaterals, let us recall what a quadrilateral is. A quadrilateral ...

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Relation Between Mean Median and Mode

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

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Operations on Rational Numbers

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

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Linear Equations: Applications

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

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Triangle Construction

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

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Relations and Functions

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

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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, ...

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Application of Linear Graphs

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

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Construction of Perpendicular Lines

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

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Relations and its Types

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

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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 ...

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Apolloniu's Theorem

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

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Continuity and Differentiability

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

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Relative Frequency

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

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Odd Numbers

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

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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 ...

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Continuous Integration

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

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Remainder Theorem and Polynomials

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

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Angle of Elevation

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

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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 ...

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Representation of a Function

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

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Oblique Sketch

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

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Acute Angle Triangle

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

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Convert Decimal to Fraction

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

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Right Angled Triangle: Constructions (RHS)

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

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Number Theory

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

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Addition and Subtraction of Algebraic Expressions

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

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Convert Octal to Binary

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

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Right Angle Triangle Theorem

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

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2D Shapes

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

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Coordinate Geometry Formulas

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

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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. ...

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Representing Numbers in General Form

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

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3D Shapes

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

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Coordinate System

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

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Root Mean Square

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

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Number Patterns in Whole Numbers

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

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Addition of Fractions

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

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Co - Prime Numbers

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

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Rotation

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

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Null Hypothesis

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

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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 ...

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Correlation and Regression

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

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Sample Space

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

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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? ...

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Adjacent Angles & Vertical Angles

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

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Cos 0

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

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Scalar Triple Product

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

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Natural Numbers and Whole Numbers

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

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Cos 60 Degrees

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

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Scalene Triangle

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

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Mutually Exclusive Events

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

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Algebra as Patterns

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

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Cosine Function

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

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Scatter Plot

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

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Multiplying Fractions

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

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Algebra: Expressions and Equations

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

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Counting Numbers

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

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Sec 60

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

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Multiplication Tricks

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

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Algebraic Equations

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

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Cross Multiplication - Pair of Linear Equations in Two Variables

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

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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 ...

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Multiplication Rule of Probability

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

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Algebraic Identities

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

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Cube

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

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Second Order Derivative

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

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Multiplication of Fractions

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

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