# Maths

##### Integration by Substitution

The integration of a function f(x) is given by F(x) and it is represented by: ∫f(x)dx = F(x) ...

##### Problems on Area and Circumference of a Circle

Perimeter is associated with any closed figure like triangle, quadrilateral, polygons or circles. It ...

##### Dot Product of Vectors

The Dot Product of Vectors can be defined in two ways: Geometrically Algebraically Dot Product ...

##### Truth Table

Truth Table is used to perform logical operations in Maths. These operations comprise boolean algebra ...

##### Integration

Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities ...

##### Solving Puzzles Which Involve Numbers and Letters

Number system is one of the most innovative and interesting invention by human beings. Various tricks ...

##### Eccentricity

The eccentricity in the conic section uniquely characterises the shape where it should possess a non-negative ...

##### Two Lines of Symmetry

Let us take up an activity to understand line of symmetry. Say you are asked to carve a ‘heart’ out ...

##### Variable

what is a variable in Math? Variable Definition: In rudimentary arithmetic operations, a variable is ...

##### Mean Deviation for Ungrouped Data

The basic difference between grouped data and ungrouped data is that in the case of latter the data is ...

##### Even and Odd Numbers

Even and Odd Numbers Definition: Normally the even and odd numbers definition is, “Even numbers are ...

##### Variance

What is Variance in Statistics? Variance meaning – It is a measure of how data points differ from ...

##### How to Draw a Circle?

Everyday we come across different shapes in our day to day life. Many of us are already aware of a couple ...

##### Prime, Composite and Even, Odd Numbers

A life without numbers is difficult. Numbers have influenced our daily routine in such a way that almost ...

##### Vector algebra

Vector algebra is one of the essential topics of algebra. It studies the algebra of vector quantities. ...

##### How to Divide

Learn how to divide a number by another number. The division is a basic arithmetic operation apart from ...

##### Exact Differential Equation

Exact Differential Equation Definition The equation P (x,y) dx + Q (x,y) dy=0 is an exact differential ...

##### Vectors

Vectors is an object which has magnitude and direction both. It is represented by a line with an arrow, ...

##### How Negative Numbers Arise?

We have seen some numbers have  a minus sign. If we take a real life instance, the temperature in some ...

##### Experimental Probability

You and your 3 friends are playing a board game. It’s your turn to roll the die and to win the game ...

##### Vector Space

A vector space or a linear space is a group of objects called vectors, added collectively and multiplied ...

##### Homogeneous Differential Equation

A differential equation of the form f(x,y)dy = g(x,y)dx is said to be homogeneous differential equation ...

##### Exponential Function - Logarithmic Function

The following figure represents the graph of exponents of x. It can be seen that as the exponent increases, ...

##### Vertically Opposite Angles & Vertical Angles Theorem

Vertical Angles: When two lines meet at a point in a plane, they are known as intersecting lines. When ...

In the hexadecimal number system, the numbers are represented with base 16. It is also pronounced sometimes ...

##### Exponents and Powers Class 7

Basically, the exponents state the repeated multiplication of the same number with respect to the number ...

##### Vertices, Faces and Edges

In this article, we will discuss the vertices, faces, and edges of solid shapes. We come across a number ...

##### Heron's Formula

Heron’s formula is one of the most important concepts used to find the area of a triangle when all ...

##### Expression: Term, Factor and Coefficient

An algebraic expression is a mathematical phrase that contains integral or fractional constants (numbers), ...

##### Volume of a Combination of Solids

A solid which is bounded by six rectangular faces is known as cuboid and if the length, breadth and height ...

##### Height and Distance: Application in Trigonometry

The topic heights and distance is one of the applications of Trigonometry which is extensively used in ...

##### Triangles, Exterior Angle Theorem

A polygon is defined as a plane figure which is bounded by finite number of line segments to form a closed ...

##### Volume of a Cylinder

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can ...

##### HCF - Highest Common Factor

The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor. ...

##### Faces, Edges and Vertices: 3D Shapes

A 3D shape or an object is made up of a combination of certain parts. In other words, a solid figure ...

##### Volume of a Cone

A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to ...

##### Group Theory

Group theory is the study of a set of elements present in a group, in Maths. A group is a collection ...

##### Factoring Polynomials: How To Factorize

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

##### Volume of Cuboid

A cuboid is a three-dimensional structure having six rectangular faces. These six faces of cuboid exist ...

##### Factorisation of Algebraic Expression: Algebra

A number or quantity that when multiplied with another number produces a given number or expression. ...

##### Volume of a Pyramid

A pyramid is a polyhedron figure which has only one base. The base of the pyramid is also a polynomial. Pyramid’s ...

##### Greater Than and Less Than Symbols

Greater than and less than symbols are used to compare any two numbers.  When a number is bigger than ...

##### Factors and Multiples

FACTORS When a number is said to be a factor of any other second number, then the first number must ...

##### Weibull Distribution

The Weibull Distribution is a continuous probability distribution used to analyse life data, model failure ...

##### Graphing of Linear Equations

Linear Equations in Two Variables Equations of degree one and having two variables are known as linear ...

##### Greatest Common Factor

What is Greatest Common Factor? The largest common factor of two or more numbers is called as Greatest ...

##### Vector and Scalar Quantities

In mathematics and physics, we have physical quantities which can be categorized in two ways, namely Scalar ...

##### Graphical Representation

Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ...

##### Geometric Distribution

In a series of trials, if you assume that the probability of either success or failure of a random variable ...

##### Symmetric Matrix & Skew Symmetric Matrix

To understand if a matrix is a symmetric matrix, it is very important to know about transpose of a matrix ...

##### Maps: Space Maps - Get Directions

All through these years, we have been dealing with maps viz. world map, regional maps, maps of various ...

##### Geometric Progression and Sum of GP

If in a sequence of terms each term is constant multiple of the preceding term, then the  sequence is ...

##### Word Problems on Number Operations

A number is a figure or a value to denote the count or quantity of something. The counting numbers or ...

##### Geometric Tools: Description and Uses

Geometric tools are the instruments used to draw different types of geometric shapes. In Maths, geometry ...

##### Zeros of polynomial

For a polynomial, there could be some values of the variable for which the polynomial will be zero. These ...

##### Geometric Shapes

Geometric Shapes are the figures which we have come across in Maths, with different names. Triangle, ...

##### Geometry Formulas For Class 10

Formulas, theorems and properties are important in studying Geometry for class 10. If you are studying ...

##### Z-Score Table

A standard normal table also called the unit normal table or z-score table, is a mathematical table for ...

##### Geometric Mean

In Mathematics, the Geometric Mean is the average value or mean which signifies the central tendency ...

##### Geometry Formulas For Class 12

Find the best practice material that covers all important geometry formulas for class 12. So that students ...

##### Integers: Word Problems on Integers

An arithmetic operation is an elementary branch of mathematics. Arithmetical operations include addition, ...

##### Equation of a Line

The standard forms of the equation of a line are: Slope-intercept form Intercept form Normal form General ...

##### Geometry Formulas For Class 9

Geometry is a branch of mathematics that concerned with shapes, points, lines and much more. Geometry ...

##### Whole Numbers

The whole numbers are the part of the number system in which it includes all the positive integers from ...