Polygon – Interior and Exterior & Central Angles Interior angle of a regular polygon A regular polygon has all the interior angles same in measure, and all interior angles of polygon formed by each pair of adjacent sides. When a polygon has n sides n vertices and n interior angles. Interior angle = 1800 – Central angle […]
Read More →Plot Points on Cartesian Coordinate System Example: Plot the point (2, 3) and identify its position in which quadrant is located. First we will place a dot at the intersection of X and Y axis, which is the center of the Cartesian coordinate and known as the origin. From the origin, move 2 units going right. Our point is […]
Read More →Four Quadrants on a Graph We know that the two axes X and Y divided the plane into four sections. These four sections are called the Quadrants (one fourth section). The plane is called Cartesian plane or Coordinate plane or the XY plane. The plural of axis is axes. The quadrants are labelled with Roman numbers […]
Read More →Worksheets – Set Theory 8 Different Types of Questions on Sets with Answers. Question (1) Which of the following are sets. (i) The collection of all good books in a library. (ii) The collection of all even numbers less than 10. (iii) The collection of all dishonest people in a village. (iv) The collection of all students in […]
Read More →Mathematics – Interesting and Amazing Facts The great Indian mathematician and astronomer, Aryabhatt in (476 – 550 C.E.) found the correct value of 𝝅 to four decimal places 3.1416. Now with the help of high speed computers and advanced algorithms, the value of 𝝅 is computed to over 1.24 trillion decimal places. The value of 𝝅 (pi) computed, decimal expansion in […]
Read More →Elements of a Set Definition: A number, letter or any object contained in a set is known as “Element of the set”. Example 1: Let set A = {1, 2, 3} so the elements of set A are 1, 2 and 3. let see this example in Venn diagram, […]
Read More →Universal Set In this lesson, we will learn what is a universal set and representation of universal set in venn diagrams. Definition: The set that contain all the elements of a given collection, and therefore all sets are subset of the Universal Set is known as the Universal Set. Symbol: Universal Set is represented by symbol “U”. […]
Read More →Representation of sets There are three methods of representing a set. 1. Statement form method 2. Roster or tabular form method 3. Rule or Set builder form method Statement form method In this method well defined description of the […]
Read More →Introduction of Set Theory In (1845 – 1918 AD) German mathematician George Cantor, develop “Set Theory”. When he was working on ” Problems on Trigonometric Series”, he encountered Set. Set Theory is a branch of mathematics, A set is informally collection of objects. Although any type of objects can be collect in a […]
Read More →Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40, n(X) = 22, and n(Y) = 30, n(X∩Y)= ? By using the formula n(X∪Y) […]
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