{"id":45635,"date":"2022-01-03T15:17:08","date_gmt":"2022-01-03T09:47:08","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=45635"},"modified":"2025-01-27T17:37:35","modified_gmt":"2025-01-27T12:07:35","slug":"ncert-solutions-for-class-8-maths-chapter-15-introduction-to-graphs-summary","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/chapter-15-introduction-to-graphs-summary\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 15 which includes thorough solutions for reference. These\u202fsolutions  are updated according to the latest CBSE syllabus for 2012-22 and are provided in easy language for understanding. Tips and tricks are also provided.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">These solutions are provided so a student can clear his doubts and get help with deep understanding of the concept. Also you can refer them to make the chapter notes and revisions notes. PDF of this can also be downloaded from website.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/45635\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/05\/15.-Introduction-to-Graphs-1.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F05%2F15.-Introduction-to-Graphs-1.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"7e819af75d\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">15. Introduction to Graphs<br\/><\/a>\n<p><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">These NCERT solutions help students to understand each and every topic by deep details of every topic<\/span><span data-contrast=\"auto\">. Important topics of the chapter includes a graphical presentation of data using a bar graph, pie graph, histogram, line graph, and students will also study about Linear Graphs and some of the basic applications of graphs.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">NCERT Solutions For Class 8 Maths Chapter 15 Exercises:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Get a detailed solution for all the questions listed under the below exercises:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">            : 7 Questions (Long answer type)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">            : 4 Questions (Short answer type)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">            : 2 Questions (Short answer type)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter tell us about <\/span><span data-contrast=\"auto\">the representation of data using different graph diagrams. In this part students came to know about, Introduction to Graphs, A Bar graph, A Pie graph (or a circle-graph), A histogram, A line graph, Linear Graphs, Location of a point, Coordinates and Some Applications.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">The main Topics and Subtopics are given below:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<table data-tablestyle=\"MsoNormalTable\" data-tablelook=\"1184\" aria-rowcount=\"10\">\n<tbody>\n<tr aria-rowindex=\"1\">\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Exercise<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Topics\/Subtopics<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"2\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.1<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Introduction to Graphs<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"3\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.1.1<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">A Bar Graphs<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"4\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.1.2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">A Pie Graphs or a circle graph<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"5\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.1.3<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">A Histogram<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"6\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.1.4<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">A Line Graphs<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"7\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Linear Graphs<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"8\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.2.1<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Location of a Point<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"9\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.2.2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Coordinates<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"10\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">15.3<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Some Applications<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">Key Features of NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">The subject experts have solved each question of NCERT exercise meticulously with the help of diagrams.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Precise and easy language used.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Step-by-step explanations to every question specified in the textbooks.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">These NCERT solutions are valuable as they help students in their homework and competitive exams.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions of this chapter<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">Is NCERT Solutions for this chapter the right book for CBSE Class 8 students?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, NCERT Textbook is the absolutely right book for Students as it has lost of stuff for practice and revision. Each topic is explained in a unique way, which also conclude that topics present in the book are available to necessary length. They explain all the variations of the topic present in the book in a best way.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">Why should I opt these NCERT Solutions?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The concepts available in this chapter are thoroughly explained in simple language, which makes it possible for every student to understand the topic in detail. Solutions are designed by subject matter experts at Infinite learn with the aim of helping students boost their exam preparation.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Why should we follow these NCERT Solutions?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">NCERT Solutions of this chapter is the best reference material that offers complete and quality information about different concepts. The questions that have been provided in the solutions have been solved in easy and understandable manner, which helps students to clearly understand and remember the answers. So, we know that NCERT Textbooks for Class 11 are essential reference books to score well in the term-wise examinations. To score good marks, practising these solutions is key to success.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 15 which includes thorough solutions for reference. These\u202fsolutions are [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary","custom_permalink":"study-materials\/ncert-solutions\/class-8\/maths\/chapter-15-introduction-to-graphs-summary\/"},"categories":[19,75],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/chapter-15-introduction-to-graphs-summary\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Summary - 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