{"id":63137,"date":"2023-09-07T14:55:00","date_gmt":"2023-09-07T09:25:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=63137"},"modified":"2023-12-12T11:45:48","modified_gmt":"2023-12-12T06:15:48","slug":"rd-sharma-solutions-class-12-maths-chapter-2-functions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/","title":{"rendered":"RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-117936\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-2-\u2013-Functions.png\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 2\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-2-\u2013-Functions.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-2-\u2013-Functions-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\"><strong>RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions:<\/strong> RD Sharma Solutions Class 12 Maths Chapter 2 guides students who want to obtain an excellent score in the board exam. The <strong>RD Sharma Solutions<\/strong> are designed by expert faculty to increase confidence among students in comprehending the concepts covered in this chapter and methods to solve problems in a shorter period.&nbsp;<\/span><\/p>\n<p>Our subject expert team created the <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rd-sharma-solutions\/\"><strong>RD Sharma Solutions for Class 12<\/strong><\/a> resource based on the Class 12 CBSE syllabus, taking into account the types of questions posed in the CBSE Class 12 board exam. Students can get RD Sharma Solutions while working on problems for step-by-step methods and immediate clarification from this article.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69cffe790e806\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69cffe790e806\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#download-rd-sharma-solutions-class-12-maths-chapter-2-%e2%80%93-functions-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions PDF\">Download RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#exercise-wise-rd-sharma-solutions-class-12-maths-chapter-2-%e2%80%93-functions\" title=\"Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions\">Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#rd-sharma-solutions-for-class-12-maths-chapter-2-important-topics\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 2 | Important Topics\">RD Sharma Solutions for Class 12 Maths Chapter 2 | Important Topics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#detailed-exercise-wise-rd-sharma-class12-maths-chapter-2-%e2%80%93-functions\" title=\"Detailed Exercise-wise RD Sharma Class12 Maths Chapter 2 &#8211; Functions\">Detailed Exercise-wise RD Sharma Class12 Maths Chapter 2 &#8211; Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#faqs-on-rd-sharma-solutions-for-class-12-chapter-2\" title=\"FAQs on RD Sharma Solutions for Class 12 Chapter 2\">FAQs on RD Sharma Solutions for Class 12 Chapter 2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#how-do-students-get-online-access-to-rd-sharma-class-12-solutions-chapter-2\" title=\"How do students get online access to RD Sharma Class 12 Solutions Chapter 2?\">How do students get online access to RD Sharma Class 12 Solutions Chapter 2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#is-rd-sharma-solutions-for-class-12-maths-chapter-2-the-best-reference-book-for-students-in-class-12\" title=\"Is RD Sharma Solutions for Class 12 Maths Chapter 2 the best reference book for students in Class 12?\">Is RD Sharma Solutions for Class 12 Maths Chapter 2 the best reference book for students in Class 12?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/#how-can-i-use-the-rd-sharma-solutions-for-class-12-maths-chapter-2-effectively\" title=\"How can I use the RD Sharma Solutions for Class 12 Maths Chapter 2 effectively?\">How can I use the RD Sharma Solutions for Class 12 Maths Chapter 2 effectively?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-maths-chapter-2-%e2%80%93-functions-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-2.pdf\">RD Sharma Solutions Class 12 Maths Chapter 2<\/a><\/p>\n<p><span style=\"font-weight: 400;\">Try to solve the questions yourselves before referring to the RD Sharma Solutions Class 12 Maths Chapter 2&nbsp; of CBSE class 12. The RD Sharma solutions are meant to assist you when you are stuck somewhere in the problem and also help you revise the solutions quickly once you understand them thoroughly and practice them well.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"exercise-wise-rd-sharma-solutions-class-12-maths-chapter-2-%e2%80%93-functions\"><\/span>Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"width: 99.8296%;\">\n<tbody>\n<tr>\n<td style=\"width: 781px;\">\n<p><strong><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-exercise-2-1\/\">RD Sharma Class 12 Exercise 2.1 Solutions<\/a><\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 781px;\">\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-exercise-2-2\/\"><strong>RD Sharma Class 12 Exercise 2.2 Solutions<\/strong><\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 781px;\">\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-exercise-2-3\/\"><strong>RD Sharma Class 12 Exercise 2.3 Solutions<\/strong><\/a><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 781px;\">\n<p><strong><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-exercise-2-4\/\">RD Sharma Class 12 Exercise 2.4 Solutions<\/a><\/strong><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">Keep the RD Sharma solutions handy by downloading and saving in a place for quick access for revisions before exams. The solutions are trustworthy as prepared by Maths teachers, teaching Mathematics for years.&nbsp;<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-for-class-12-maths-chapter-2-important-topics\"><\/span>RD Sharma Solutions for Class 12 Maths Chapter 2 | Important Topics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div>\n<p><strong>Chapter 2 Functions of Class 12 RD Sharma Solutions<\/strong> covers the function, domain, and codomain of functions. It has four exercises. Answers to the problems in RD Sharma Solutions for Class 12 are freely accessible to students. Let&#8217;s take a closer look at some of the key concepts covered in this chapter.<\/p>\n<ul>\n<li>Classification of functions\n<ul>\n<li>Types of functions\n<ul>\n<li>Constant function<\/li>\n<li>Identity function<\/li>\n<li>Modulus function<\/li>\n<li>Integer function<\/li>\n<li>Exponential function<\/li>\n<li>Logarithmic function<\/li>\n<li>Reciprocal function<\/li>\n<li>Square root function<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>Operations on real functions<\/li>\n<li>Kinds of functions\n<ul>\n<li>One-one function<\/li>\n<li>On-to function<\/li>\n<li>Many one function<\/li>\n<li>In to function<\/li>\n<li>Bijection<\/li>\n<\/ul>\n<\/li>\n<li>Composition of functions<\/li>\n<li>Properties of the composition of functions<\/li>\n<li>Composition of a real function<\/li>\n<li>The inverse of a function<\/li>\n<li>The inverse of an element<\/li>\n<li>Relation between graphs of a function and its inverse<\/li>\n<\/ul>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"detailed-exercise-wise-rd-sharma-class12-maths-chapter-2-%e2%80%93-functions\"><\/span>Detailed Exercise-wise RD Sharma Class12 Maths Chapter 2 &#8211; Functions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">You need to understand a few concepts before referring to the RD Sharma solution in Chapter 2 class 12 Maths. The concepts you need to understand thoroughly are:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Understanding the basics of Functions one-on-one and onto<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Prove functions that are one-one and onto and neither of them<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Concepts of Surjection. Injection, and Bijections, and how to test.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Need to know how to find GOF and FOG<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Need to know the inverse of functions and the concept of invertible<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">&nbsp;<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">You can leverage the solution of RD Sharma Chapter 2 to complete your homework quickly so you can concentrate on other subjects of <a href=\"http:\/\/cbse.nic.in\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> class 12 curriculums. If you have any queries, feel free to ask us in the comment section below.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-for-class-12-chapter-2\"><\/span>FAQs on RD Sharma Solutions for Class 12 Chapter 2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1629721585496\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-do-students-get-online-access-to-rd-sharma-class-12-solutions-chapter-2\"><\/span>How do students get online access to RD Sharma Class 12 Solutions Chapter 2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Students can access and download the RD Shama Class 12 Solutions for Chapter 2 directly from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629721655458\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-solutions-for-class-12-maths-chapter-2-the-best-reference-book-for-students-in-class-12\"><\/span>Is RD Sharma Solutions for Class 12 Maths Chapter 2 the best reference book for students in Class 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>While addressing exercise questions from the RD Sharma textbook, the RD Sharma Solutions are the best resource.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629721728044\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-can-i-use-the-rd-sharma-solutions-for-class-12-maths-chapter-2-effectively\"><\/span>How can I use the RD Sharma Solutions for Class 12 Maths Chapter 2 effectively?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>As subject experts at Kopykitab have solved all of the problems from the textbook, students can rely on RD Sharma Solutions for Class 12 Maths Chapter 2 for board exam preparation &amp; competitive exam preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions: RD Sharma Solutions Class 12 Maths Chapter 2 guides students who want to obtain an excellent score in the board exam. The RD Sharma Solutions are designed by expert faculty to increase confidence among students in comprehending the concepts covered in this chapter and methods &#8230; <a title=\"RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-2-functions\/\" aria-label=\"More on RD Sharma Solutions Class 12 Maths Chapter 2 \u2013 Functions (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":117936,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3429,62019,73223],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63137"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=63137"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63137\/revisions"}],"predecessor-version":[{"id":520876,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63137\/revisions\/520876"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/117936"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=63137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=63137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=63137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}