{"id":60391,"date":"2022-01-29T21:14:37","date_gmt":"2022-01-29T15:44:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60391"},"modified":"2023-03-03T12:29:30","modified_gmt":"2023-03-03T06:59:30","slug":"study-materials-ncert-exemplar-solutions-class-12-maths-chapter-1-relations-and-functions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/","title":{"rendered":"NCERT Exemplar Solutions for Class 12 Maths Chapter 1"},"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-12\/maths\/chapter-1-relations-and-functions\/#The_main_features_of_this_chapter_are_as_follows\" title=\"The main features of this chapter are as follows:\">The main features of this chapter are as follows:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#NCERT_Exemplar_For_Class_12_Maths_Chapter_1_Exercises\" title=\"NCERT Exemplar For Class 12 Maths Chapter 1 Exercises:\">NCERT Exemplar For Class 12 Maths Chapter 1 Exercises:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#The_main_topics_covered_in_this_chapter_include\" title=\"The main topics covered in this chapter include:\">The main topics covered in this chapter include:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#Key_Features_of_NCERT_Exemplar_Class_12_Maths_Chapter_1\" title=\"Key Features of NCERT Exemplar Class 12 Maths Chapter 1\">Key Features of NCERT Exemplar Class 12 Maths Chapter 1<\/a><\/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-12\/maths\/chapter-1-relations-and-functions\/#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-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#What_are_the_concepts_explained_in_NCERT_Exemplar_Solutions_of_this_chapter\" title=\"What are the concepts explained in NCERT Exemplar Solutions of this chapter?\">What are the concepts explained in NCERT Exemplar Solutions of this chapter?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#What_are_the_key_features_of_these_NCERT_Exemplar_Solutions\" title=\"What are the key features of these NCERT Exemplar Solutions?\">What are the key features of these NCERT Exemplar Solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#Are_these_NCERT_Exemplar_Solutions_enough_to_prepare_for_the_first_term_exams\" title=\"Are these NCERT Exemplar Solutions enough to prepare for the first term exams?\">Are these NCERT Exemplar Solutions enough to prepare for the first term exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#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-10\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/#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 Solutions for NCERT Exemplar Class 12 Maths Chapter 1, which includes <\/span><span style=\"font-weight: 400;\">thorough solutions for reference. All of the unsolved questions from the textbook&#8217;s exercises are answered here. The NCERT Exemplar Solutions for Class 12 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<\/a><\/span><\/strong> and Advanced.<\/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 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12 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\/60391\" 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\/Class12_Maths_Chapter1DE-17.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%2FClass12_Maths_Chapter1DE-17.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=\"9376de3162\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class12_Maths_Chapter1(DE-17)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this chapter, students study different types of relations and equivalence relations, the composition of functions, invertible functions, and binary operations. Students can use the NCERT Exemplar Solutions of this chapter for any quick reference to comprehend complex topics.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" class=\"wp-image-174022 size-medium aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions-300x200.webp\" alt=\"ncert exemplar class 12 maths chapter 1\" width=\"300\" height=\"200\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions-300x200.webp 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-7-math-ncert-solutions.webp 626w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_main_features_of_this_chapter_are_as_follows\"><\/span><span style=\"font-size: 12pt;\"><b>The main features of this chapter are as follows:<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Empty relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Universal relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Reflexive relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Symmetric relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Transitive relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Equivalence relation<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">A function f : X \u2192 Y is one-one (or injective) if f (x<\/span><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\">) = f(x<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">) <\/span><span style=\"font-weight: 400;\">\u21d2<\/span><span style=\"font-weight: 400;\"> x<\/span><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\"> = x<\/span><span style=\"font-weight: 400;\">2<\/span> <span style=\"font-weight: 400;\">\u2200<\/span><span style=\"font-weight: 400;\"> x<\/span><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\">, x<\/span><span style=\"font-weight: 400;\">2<\/span> <span style=\"font-weight: 400;\">\u2208<\/span><span style=\"font-weight: 400;\"> X.<\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">A function f : X \u2192 Y is onto (or surjective) if given any y <\/span><span style=\"font-weight: 400;\">\u2208<\/span><span style=\"font-weight: 400;\"> Y, <\/span><span style=\"font-weight: 400;\">\u2203<\/span><span style=\"font-weight: 400;\"> x <\/span><span style=\"font-weight: 400;\">\u2208<\/span><span style=\"font-weight: 400;\"> X such that f(x) = y.<\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A function f : X \u2192 Y is one-one and onto (or bijective), if f is both one-one and onto.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A function f : X \u2192 Y is invertible if and only if f is one-one and onto.<\/span><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_For_Class_12_Maths_Chapter_1_Exercises\"><\/span><span style=\"font-size: 12pt;\"><b>NCERT Exemplar For Class 12 Maths Chapter 1 Exercises:<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Get detailed solutions for all the questions listed under the below exercises:<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 1.1: 16 Questions (14 Short Answers, 2 MCQ)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 1.2: 12 Questions (10 Short Answers, 2 MCQ)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 1.3: 14 Questions (12 Short Answers, 2 MCQ)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 1.4: 13 Questions (12 Short Answers, 1 MCQ)<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"The_main_topics_covered_in_this_chapter_include\"><\/span><span style=\"font-size: 12pt;\"><b>The main topics covered in this chapter include:<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-size: 12pt;\"><b>Exercise<\/b><\/span><\/td>\n<td><span style=\"font-size: 12pt;\"><b>Topic<\/b><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">1.1<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Introduction<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">1.2<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Types of Relations<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">1.3<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Types of Functions<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">1.4<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Composition of Functions and Invertible Function<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">1.5<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Binary Operations<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Others<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Q&amp;A<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Exemplar_Class_12_Maths_Chapter_1\"><\/span><span style=\"font-size: 12pt;\"><b>Key Features of NCERT Exemplar Class 12 Maths Chapter 1<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">These NCERT exercises are made by subject experts.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The simple and understandable language is used.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">All questions are solved with perfect explanation.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">These NCERT Exemplar Solutions are very helpful to students in their assignments and competitive exams.<\/span><\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-size: 12pt;\"><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_are_the_concepts_explained_in_NCERT_Exemplar_Solutions_of_this_chapter\"><\/span>What are the concepts explained in NCERT Exemplar Solutions of this chapter?<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 concepts included in this chapter are types of relations, types of functions, composition of functions and invertible functions and binary operations. The solutions to the exercise-wise problems are solved by our subject matter expert. The main objective of providing solutions is to help students to score good in their exams.\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=\"What_are_the_key_features_of_these_NCERT_Exemplar_Solutions\"><\/span>What are the key features of these NCERT Exemplar Solutions?<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 NCERT exercises are solved by the expert faculties having vast knowledge about these concepts. Each and every step is explained in easy and understandable language to help students learn the method of solving complex problems effortlessly. The solutions are solved in a stepwise manner keeping in view of the marks weightage of the CBSE term I exam.\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=\"Are_these_NCERT_Exemplar_Solutions_enough_to_prepare_for_the_first_term_exams\"><\/span>Are these NCERT Exemplar Solutions enough to prepare for the first term exams?<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\tThis chapter includes all the important topics based on the latest update of CBSE guidelines. Four exercises are provided in this chapter giving the students with numerous problems to solve independently. The solutions are made to boost the confidence in the minds of students before appearing for the term I exams.\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 are the concepts explained in NCERT Exemplar Solutions of this chapter?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The concepts included in this chapter are types of relations, types of functions, composition of functions and invertible functions and binary operations. The solutions to the exercise-wise problems are solved by our subject matter expert. The main objective of providing solutions is to help students to score good in their exams.\"\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\": \"What are the key features of these NCERT Exemplar Solutions?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The NCERT exercises are solved by the expert faculties having vast knowledge about these concepts. Each and every step is explained in easy and understandable language to help students learn the method of solving complex problems effortlessly. The solutions are solved in a stepwise manner keeping in view of the marks weightage of the CBSE term I exam.\"\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\": \"Are these NCERT Exemplar Solutions enough to prepare for the first term exams?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"This chapter includes all the important topics based on the latest update of CBSE guidelines. Four exercises are provided in this chapter giving the students with numerous problems to solve independently. The solutions are made to boost the confidence in the minds of students before appearing for the term I exams.\"\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<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 Solutions for NCERT Exemplar Class 12 Maths Chapter 1, which includes thorough solutions for reference. All [&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":"Class 12 Maths Chapter 1","_yoast_wpseo_title":"(Class 12 Maths Chapter 1) NCERT Exemplar Solutions - Download PDF","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 1, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-1-relations-and-functions\/"},"categories":[106,109,105],"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>(Class 12 Maths Chapter 1) NCERT Exemplar Solutions - Download PDF<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 1, 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-12\/maths\/chapter-1-relations-and-functions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"(Class 12 Maths Chapter 1) NCERT Exemplar Solutions - 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