Maths

Inverse Matrix

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

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Triangle Inequality

Triangle is a 3 sided polygon. A triangle has three sides and three angles. The three sides and three ...

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Domain Range and Codomain of a Function

We are familiar with Domain of a Function and Range of a Function. Functions: Functions are one of ...

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Inverse Sine

Inverse Sine is a trigonometric function which denotes the inverse of the sine function and is represented ...

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Trapezoids

What are Trapezoids? A quadrilateral which has two parallel sides is called a Trapezoid. It is also ...

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Dodecagon

Dodecagon is one of the types of polygons that has twelve sides. It is a regular polygon which has 12 ...

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Inverse Trigonometric Functions

Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric ...

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Transpose of a Matrix

What is a matrix? A matrix is a rectangular array of numbers or functions arranged in a fixed number ...

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Division of a Line Segment

Line and line segment A line is a collection of points along a straight path which extends to both the ...

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Inverse Variation: Relationship Between Two Quantities

In our day-to-day life, we observe that the variation in values of some quantity depends upon the variation ...

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Total Probability Theorem

Law of Total Probability For two events A and B associated with a sample space S, the sample space can ...

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Divisibility Rules

Divisibility rules or Divisibility test have been mentioned to make the division procedure easier and ...

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Irrational Numbers

Irrational numbers are the numbers that can be represented as fractions. It is a contradiction of rational ...

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Theoretical Probability

Every one of us would have encountered multiple situations in life where we had to take a chance or risk. ...

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Dividend

In Mathematics, there are four basic operations. They are addition, subtraction, multiplication and division. ...

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Is 1 a Prime Number?

Number 1 has positive divisors as 1 and itself. According to the definition of prime numbers, any number ...

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Taylor Series

In Mathematics, the Taylor series is the most famous series that is utilized in several mathematical ...

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Distance Between Two Points in Three Dimensions

In Mathematics, to find the distance between the two points in the coordinate plane, we mostly prefer ...

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Is 91 a Prime Number?

To know whether 91 is a prime number or not, it is important to factor it. To recall, a prime number ...

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Tangent to a Circle

A line that touches the curve is generally known as a tangent. In this article, let us discuss in detail ...

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Distance Between Two Points

To calculate the distance between two points in a plane, we have to use distance formula as per described ...

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Isosceles Triangle

A triangle can be classified based on the sides and sides. Based on the sides, a triangle can be classified ...

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Tangent - Equation of Tangent and Normal

The applications of derivatives are: determining rate of change of quantities, finding the equations ...

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Disjoint Set

Disjoint set are those sets whose intersection with each other results in a null set. In Set theory, ...

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Isosceles Triangle - Properties and Theorems

One of the special types of triangle is the isosceles triangle. Isosceles triangle is a triangle which ...

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Tally Marks - Organizing Data

Consider a situation in which you want to know the most liked subject of the students of your class. ...

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Direction Cosines & Direction Ratios of a Line

Direction Cosines When a directed line OP passing through the origin makes \(\alpha \), \(\beta\) and ...

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Laplace Transform

Laplace transform is named in honour of the great French mathematician, Pierre Simon De Laplace (1749-1827). ...

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Symmetric Matrix

A symmetric matrix is a square matrix when it is equal to its transpose of a matrix. Only a square matrix ...

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Law of Sines

To find the angles of a triangle, we use the Law of sines. So it is useful for solving triangles of any ...

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Surface Areas and Volume

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area ...

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Digits

Thousands of years ago, when the number system was not known to people, roman abacus or stone tokens ...

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Laws of Exponents with Integral Power

Exponents are used to show repeated multiplication of a number by itself. For example, 7 × 7 × 7 can ...

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Surface Area of Cube, Cuboid and Cylinder

Humans must measure how much paint or carpet will you need to redecorate your bedroom? How many liters ...

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Differentiation Formulas

Differentiation Formulas List In all the formulas below, f’ means \( \frac{d(f(x))}{dx} = f'(x)\) ...

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LCM - Least Common Multiple

Least common multiple which is also mentioned as L.C.M. is the basics of Mathematics. This topic, we ...

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Surface Area of a Hemisphere

In mathematics, two-dimensional geometry deals with the x-y plane. The extension of 2D geometry is the ...

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How to Find the Order of Differential Equation and its Degree?

Order of Differential Equation: Differential Equations are classified on the basis of the order. Order ...

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LCM of Two Numbers

The LCM of two numbers is the smallest number which divides the 2 numbers evenly. To find the LCM of ...

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Surface Area of a Cone

Cone is defined as a three dimensional solid structure that has a circular base. A cone can be viewed ...

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Differential Calculus and Approximation

Differential calculus A derivative of a function f(x) signifies the rate of change of the function f(x) ...

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Less than Symbol

In Mathematics, the less-than symbol is a fundamental Mathematical symbol that describes the inequality ...

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Supplementary Angles

Geometry is one of the important branches of mathematics that deals with the study of different shapes. ...

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Different Forms of the Equation of Line

We know that there are infinite points in the coordinate plane. Consider an arbitrary point \(P(x,y)\) ...

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Like and Unlike Algebraic Terms

Before getting into like terms and unlike terms, you should be able to distinguish what an algebraic ...

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Sum of N Terms of AP and Arithmetic Progression

A sequence is said to be in a progression if its last term can be represented using a formula. If the ...

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Difference Between Variance and Standard Deviation

Understanding the main difference between Variance and Standard deviation is important to know. These ...

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Limits

In Mathematics, a limit is defined as a value that a function approaches, as the input approaches to ...

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Substitution Method

The solution of the simultaneous linear equation can be divided into two broad categories, Graphical ...

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Difference Between Square and Rectangle

In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, ...

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Limits and Derivatives

Sir Issac Newton, based on his concepts of rate and change, set forth the basic laws of differential ...

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Stokes Theorem

Stokes Theorem (also known as Generalized Stoke’s Theorem) is a declaration about the integration of ...

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Difference Between Sequence and Series

Sequence Series Sequence relates to organization of terms in a particular order (i.e. related terms ...

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Linear Equations

Linear equations are those equations that are of first order. Linear equations are also first-degree ...

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Statistical Inference

In Statistics, descriptive statistics describe the data, whereas inferential statistics help you make ...

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Difference Between Rhombus and Parallelogram

In Geometry, a quadrilateral is a four-sided polygon. The different quadrilaterals are square, rectangle, ...

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Linear Functions

You should know how to write an equation before you learn about linear functions. The only difference ...

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The Standard Normal Distribution

The standard normal distribution is a one of the forms of the normal distribution. It occurs when a normal ...

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Difference between Rational & Irrational Numbers

Mathematics involves numbers, proofs, theorems, which are applied to study the topic such as quantity, ...

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Linear Graph

Definition of Linear Graph Linear means straight and a graph is a diagram which shows a connection or ...

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Standard Error

In statistics, the standard error is the standard deviation of the sample distribution. The sample mean ...

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Difference Between Exponent and Power

In mathematics, the little digit placed above and to the right of any number is known as a superscript. ...

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Linear Inequalities in two Variables

Difference between equation and inequality An equation is a mathematical expression which involves “=” ...

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Standard Deviation

Standard deviation is the measure of dispersion of statistical data. Dispersion computes the deviation ...

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Difference Between Permutation and Combination

Permutation can simply be defined as the different ways of arranging some or all members within a specific ...

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Linear Programming

Linear programming (LP) or Linear Optimisation may be defined as the problem of maximizing or minimizing ...

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Finding the Square Root of Decimals

Any number can be expressed as a product of prime numbers. This method of representation of a number ...

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Difference Between Parametric and Non-Parametric Test

Parametric is a statistical test which assumes parameters and the distributions about the population ...

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Line of Symmetry - Multiples Lines of Symmetry

You may be knowing well about the term symmetry which is defined as a balanced and a proportionate similarity ...

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Finding Square Root of a Number By Division Method

Any number can be expressed as a product of prime numbers. This method of representation of a number ...

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Difference Between Natural and Whole numbers

A number is an arithmetic value which is used to represent a particular quantity. In Mathematics, we ...

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Lines and Angles - Basic Terms

In geometry, lines are figures that are made up of infinite points extending indefinitely in both directions. ...

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Square Root Formula

When a value is multiplied by itself to give the original number then that number is a square root. ...

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Difference Between Mean, Median and Mode

These three terms are related to each other and are the kinds of averages. What is Mean, Median, and ...

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Line Segment and Ray

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

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Square Root and Cube Root

Square root and Cube roots are one of the most important topics in Maths. To find the square root of ...

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Difference Between Log and Ln

The log number is simply defined as the method of obtaining the number which has its power to a base ...

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Logarithmic Differentiation

There are cases in which differentiating the logarithm of a given function is simpler as compared to ...

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Square Prism

In Geometry, we have studied various three-dimensional shapes which are also known as solid shapes or ...

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Difference Between Line and Line Segment

In the rudimentary level geometry, the term that each and every student comes across is ‘line’. A ...

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Logarithms

What are logarithms? A logarithm is said to be an exponent. When a base 2 is given with an exponent ...

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Square

In Geometry, a square is a two-dimensional plane figure with four equal sides and equal angles. What ...

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Difference Between Cube and Cuboid

Though both the shapes have six faces still they are different from each other. Cube Definition A three-dimensional ...

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Log Base 2

Log base 2, also known as binary logarithm which is the inverse function of the power of two functions. ...

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Special Parallelograms: Rhombus, Square & Rectangle

In Geometry, the shapes can be classified into two different categories, such as: Two – Dimensional ...

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Difference Between Codomain and Range

Range can also be referred to as producing the same output as Codomain and is usually referred to as ...

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Matrix Multiplication

Matrix multiplication is an operation that produces a single matrix from two different matrices. It is ...

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Solving Linear Equations

Solving linear equations means to find the solution of a linear equation. Here, the methods of solving ...

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Difference Between Average and Mean

Average and mean are used interchangeably. In Statistics, instead of the term “average”, the term ...

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Maxima & Minima - Using First Derivative Test

Maxima and minima of a function are very important concepts which are applicable both for Mathematics ...

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Solution of Separable Differential Equation

Differential Equation A differential equation is an equation of the form \(\frac{\mathrm{d} y}{\mathrm{d} ...

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Difference Between Area and Surface Area

Geometry is one of the principal branches of the subject mathematics. Geometry primarily comprises shapes ...

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Mean Absolute Deviation

‘Mean’ refers to the average of the observations and deviation implies departure or variation from ...

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Solution of a Differential Equation

Solving Differential Equations The solution of a differential equation – General and particular will ...

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Diagonal Matrix

A square matrix in which every element except the principle diagonal elements is zero, it is called a ...

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Mean Deviation For Grouped Data (Continuous Frequency Distribution)

Representation of data in a tabular or graphical form which indicates the frequency (number of times ...

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Skip Counting

Skip counting deals with counting by numbers other than 1, such as, by 2, by 3, by 5, 10 or 100. It helps ...

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Determinant of a Matrix

The determinant of a matrix is the scalar value computed for a given square matrix. For Linear algebra ...

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Mean Value Theorem

The Mean Value Theorem is considered to be among the crucial tools in Calculus. According to the theorem, ...

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Sine Function

Sine or the sin function is one of the three primary functions in trigonometry, the others being cosine, ...

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