{"id":60173,"date":"2022-01-29T17:05:59","date_gmt":"2022-01-29T11:35:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60173"},"modified":"2022-06-15T13:00:53","modified_gmt":"2022-06-15T07:30:53","slug":"study-materials-ncert-exemplar-solutions-class-11-maths-chapter-1-sets","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 1 &#8211; Sets"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/#The_summary_of_the_topics_which_are_explained_in_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_1_-_Sets_are_as_follows\" title=\"The summary of the topics which are explained in NCERT Exemplar Solutions for Class 11 Maths Chapter 1 &#8211; Sets are as follows:\">The summary of the topics which are explained in NCERT Exemplar Solutions for Class 11 Maths Chapter 1 &#8211; Sets are as follows:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/#What_applications_of_Sets_are_discussed_in_Chapter_1_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"What applications of Sets are discussed in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?\">What applications of Sets are discussed in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 1: Sets, <\/span><span style=\"font-weight: 400;\">which includes thorough solutions for reference. All of the unsolved questions from the textbook&#8217;s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE Mains and Advanced<\/a><\/span><\/strong>.<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\">\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\/60173\" 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\/01\/Class11_Maths_Chapter1DE-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%2F01%2FClass11_Maths_Chapter1DE-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=\"732ecf2928\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class11_Maths_Chapter1(DE-1)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">This chapter contains 6 exercises and a miscellaneous exercise with the help of which students get detailed knowledge about the concepts of Sets of the first term Class 11 Maths CBSE Syllabus (2021-22). <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_summary_of_the_topics_which_are_explained_in_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_1_-_Sets_are_as_follows\"><\/span><span style=\"color: #0000ff;\"><strong><span style=\"font-size: 12pt;\">The summary of the topics which are explained in NCERT Exemplar Solutions for Class 11 Maths Chapter 1 &#8211; Sets are as follows:<\/span><\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A set is defined as a well-defined collection of objects.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Any set which does not contain any element is known as an empty set.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Finite set: A set that contains a definite number of elements is known as a finite set.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Infinite set:  A set that contains an infinite number of elements is known as an infinite set.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If sets A and B have the same number of elements then sets A is equal to sets B.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If every elements of set A is also an element of set B then set A is subset of set B. So, Intervals are said to be subsets of R.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The collection of all subsets of A is a power set of a set A. Power set is denoted by P(A).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The set of all those elements which are either in set A or set B is the union of two sets A and B.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The set of all those elements which are common in set A and set B are the intersection of two sets A and B. And the set of all those elements that belongs to A but not B is the difference between the two sets A and B.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The set of all elements of U which are not the elements of A is the complement of a subset A of the universal set U.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">For the set A and set B, (A \u222a B)\u2019 = A\u2032 \u2229 B\u2032 and ( A \u2229 B )\u2032 = A\u2032 \u222a B\u2032.<\/span><\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-size: 12pt; color: #000000;\"><b>Frequently Asked Questions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_applications_of_Sets_are_discussed_in_Chapter_1_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>What applications of Sets are discussed in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe Sets are used in the daily real life and the Mathematics. Sets plays a vital role in the formulae used in calculus, topology, geometry and also in the algebra around fields, rings, and groups. It has application in other fields also like Physics, Chemistry, Electrical Engineering, Computer Science, and Maths.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What applications of Sets are discussed in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The Sets are used in the daily real life and the Mathematics. Sets plays a vital role in the formulae used in calculus, topology, geometry and also in the algebra around fields, rings, and groups. It has application in other fields also like Physics, Chemistry, Electrical Engineering, Computer Science, and Maths.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<p><strong><span style=\"color: #0000ff;\">Question: What are the topics covered in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?<\/span><\/strong><\/p>\n<p><strong><span style=\"color: #ff0000;\">Answer:<\/span><\/strong> The topics which are covered in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths are as follows:<\/p>\n<ol>\n<li>Introduction<\/li>\n<li>Sets and their representations<\/li>\n<li>The Empty Set<\/li>\n<li>Finite and Infinite Sets<\/li>\n<li>Equal Sets<\/li>\n<li>Subsets<\/li>\n<li>Power Set<\/li>\n<li>Universal Set<\/li>\n<li>Venn Diagrams<\/li>\n<li>Operations on Sets<\/li>\n<li>Complement of a Set<\/li>\n<li>Practical problems on Union and Intersection of Two Sets.<\/li>\n<\/ol>\n<p><strong><span style=\"color: #0000ff;\">Question: <\/span><\/strong>How many problems are there in each exercise of NCERT Exemplar Solutions for Class 11 Maths Chapter 1?<\/p>\n<p><strong><span style=\"color: #ff0000;\">Answer:<\/span> <\/strong>Continuous practice of the problems given in the exercise helps students to improve the concepts in a better way. The number of questions available in the exercises of Chapter 1 is listed below:<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.1 \u2013 6 questions<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.2 \u2013 6 questions<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.3 \u2013 9 questions<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.4 \u2013 12 questions<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.5 \u2013 7 questions<\/p>\n<p style=\"padding-left: 40px;\">Exercise 1.6 \u2013 8 questions<\/p>\n<p style=\"padding-left: 40px;\">Miscellaneous Exercise \u2013 16 questions<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 1: Sets, which includes thorough solutions for reference. [&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 Exemplar Solutions for Class 11 Maths Chapter 1","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 1: Sets, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/"},"categories":[107,113,105],"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 Exemplar Solutions for Class 11 Maths Chapter 1 - Sets - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 1: Sets, which includes thorough solutions for reference.\" \/>\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-exemplar-solutions\/class-11\/maths\/chapter-1-sets\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 1 - 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