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Introduction As the name implies, a line segment is a section of a line with two endpoints. It is one of the fundamental components of practical geometry and makes it easier to construct geometric figures and forms. An element of a straight line connecting two places is referred to as a line segment. The symbol for a line segment having the endpoints A and B is AB. However, how do you draw a line segment? Does the instrument we use to measure a line segment match the one we use to draw it? We will explore the ways of ... Read More
Introduction In daily life, we encounter various activities that have multiple outcomes. Although we cannot predict the exact outcome, we can estimate all possible outcomes of that event or activity. In this tutorial, we will discuss the sample space, some special events, and their possible outcomes with solved examples. Sample Space The sample space, a concept of probability theory, is the collection of all the possible outcomes of a random event or experiment. The sample space is abbreviated by the set notation and is more usually represented by S. Moreover, it can also be represented by U (universal set) or ... Read More
Introduction In calculus, Derivatives are a basic tool in solving problems and differential equations. Derivatives are used as a tool by scientists to analyse dynamic systems to determine the change in variables, and use this to frame differential equations, and use integration to predict the future changes. To put simply, a second-order derivative is the two consequent derivatives of a function, or it is the derivative of the first order derivative of that function. In this tutorial, we will learn about derivatives, order of derivatives, second order derivatives, second order derivatives of parametric functions, and some solved examples. Derivative Derivative ... Read More
Introduction The section formula can be applied to a line segment located in 2D or 3D. The division of a line segment is a method or process in which the line segment is divided into several parts (equal or non-equal). Points are used to divide a line segment. It is an important method used in coordinate geometry to determine the centroid, incenter, and excenter of a triangle. In this tutorial, we will discuss the 3D geometry, section formula, and distance formula with solved examples. 3D Coordinate Geometry The 3D coordinate geometry represents the geometrical figures in 3D space. It requires ... Read More
Introduction A relation is defined as the mutual dependence of one element on another. In mathematics, the function represents the specific relationships between two sets of elements. In this tutorial, we will discuss the meaning of relations and functions, their various types, and the inverse of a function with solved examples. Relations The relation is a binary relation between two classes or sets, representing that the elements of both classes are somehow related. The binary relation between two sets X and Y is a set of ordered pairs of elements, i.e., (x, y), in such a way that the element ... Read More
Introduction A linear equation is a type of equation in which the order of each variable in the equation is exactly one. A one-variable linear equation is an equation with only one variable and one solution to the equation. When drawn on a chart, it will appear as a straight line horizontally or vertically. Any variable or symbol can be used to represent an unknown, but the variable "x" is typically used to represent an unknown in a linear equation of one variable. There are several easy ways to solve a linear equation. Constants are separated on one side of ... Read More
Introduction The word trigonometry means tri-angle-measurements which is three angle measurement. When we take any polygon, such as square, rectangle, pentagon, hexagon, etc., we can divide each polygon into triangles. So trigonometry mainly deals with triangles. There are three types of triangle based on the angle measurements. They are acute angled triangle, obtuse angled triangle, right angle triangle. Acute angled triangle − All the three interior angles measured are less than 90°. Obtuse angled triangle − All the three interior angles measured are greater than 90°. Right angled triangle − At Least one of the interior angles measures 90°. Right ... Read More
Introduction A three-dimensional solid figure is called the right circular cylinder. There is a closed circular surface on both ends of the right circular cylinder, which are parallel to one another. The right cylinder is another name for a right circular cylinder. All of the points on the closed surface are equally spaced from the axis of the right circular cylinder. In everyday life, a right circular cylinder is the most typical 3D figure. The correct round cylinder can be created by stacking many circular pieces of paper. It is known as a right circular cylinder because it has been ... Read More
Introduction Rolle’s theorem and Lagrange’s mean value theorem are interpreted on a function over an interval if the function satisfies the condition of continuity over a given closed interval and the condition of differentiability over a given open interval. The continuity of a function over a closed interval is defined as the function's graph that should not contain any break over the interval. The differentiability of a function over an open interval is defined as the function should be differentiable at every point in the interval. Continuity and Differentiability Continuity: Let’s take a function 𝑓(𝑥) with a domain and ... Read More
Introduction In the Middle Ages, the roman number system is considered a standard writing system for numbers throughout Europe. Romans invented it for daily life because they could not count more than ten using their fingers. Latin numbers are the words in Latin that are used to count numbers. They are also represented by roman numerals but are read in Latin. Roman numbers consist of symbols containing alphabets as some base numbers. Numbers Numbers play a huge part in daily life and mathematics. They are used to counting things, without numbers it is tough to count and remember the ... Read More