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SHAPES

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 SHAPES The shape can be defined as the boundary or outline of an object. It is the surface we see and does not depend on the size or the color of the object. Everything around us has a different shape, such as the square, rectangle, or three-dimensional sphere. Have you seen the model of the Earth called the globe? What is the shape of this globe? Have you noticed the shape of a pizza? It is round in shape. If we cut out a slice from the pizza, the slice gets a triangular shape. Let us learn all about shapes, types of shapes, and geometric shapes. What are Shapes? Shapes define the boundary of an object and can be differentiated in many ways based on their properties. These shapes are closed by a boundary which is made by combining the curves, points, and line segments. Each shape has a name depending upon the structure. Few shapes are circle, square, rectangle, triangle, and so on. Types of Shapes Shapes can be classified into various categories. Before classifying shapes further...

FRACTION

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 FRACTION  In Mathematics, fractions  are defined as the parts of a whole. The whole can be a number or any specific value or a thing. In other words, it is also termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and lower part is the  denominator . A fraction is a word that is originated from Latin. In Latin, “ Fractus”  means “ broken” . In real life, when we cut a piece of cake from the whole of it, say 1/4th of it, then the portion is the fraction of the cake. Type of Fractions Based on the properties of numerator and denominator, fractions are sub-divided into different types. They are: Proper fractions Improper fractions Mixed fractions Like fractions Unlike fractions Equivalent fractions Proper Fractions The proper fractions are those where the numerator is less than the denominator. For example, 8/9 will be a proper fraction since “nu...

SET

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Sets, Relations and Binary Operations Set Set is a collection of well defined objects which are distinct from each other. Sets are usually denoted by capital letters A, B,C,K and elements are usually denoted by small letters a, b, c,... . If a is an element of a set A, then we write a Î A and say a belongs to A or a is in A or a is a member of A. If a does not belongs to A, we write a ÏA. Standard Notations N : A set of natural numbers. W : A set of whole numbers. Z : A set of integers. Z+ / Z− : A set of all positive/negative integers. Q : A set of all rational numbers. Q+ / Q− : A set of all positive/negative rational numbers. R : A set of real numbers. R+ / R− : A set of all positive/negative real numbers. C : A set of all complex numbers. Methods for Describing a Set (i) Roster/Listing Method/Tabular Form In this method, a set is described by listing element, separated by commas, within braces. e.g. A = {a, e, i, o, u} (ii) Set Builder/Rule Method In this method, we write down a pr...

QUERIES

  QUES - My question is that which course I do after 12th because my interest in maths is more rather than science so suggest me the course. ANSWER - If you are a science student then you can do BA COURSES with combinations of mathematics and english or any other language course or your other favourite subject which may be as prefer in ba programme/pass course list and BSC also like maths honours if you are interested in maths.  QUES - If we weak in maths and science the can I handle in11 class. ANSWER - Truely speaking if you are week in maths and science then don't take these subjects because if your not interested to doing this all  don't do it. OR if you have interest  in doing this then you have to definetly try a chance to take these subjects or not then take humanities(arts) this iis also the best career option course and take history,geography,political as main or hindi and english for language purpose gives you high marks opportunity but firtly choose your f...