{"id":63163,"date":"2021-08-24T09:38:00","date_gmt":"2021-08-24T04:08:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=63163"},"modified":"2021-08-31T18:19:01","modified_gmt":"2021-08-31T12:49:01","slug":"rd-sharma-solutions-class-12-maths-chapter-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-3\/","title":{"rendered":"RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-118085\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-3-\u2013-Binary-Operations.png\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 3\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-3-\u2013-Binary-Operations.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-12-Maths-Chapter-3-\u2013-Binary-Operations-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 3 &#8211; Binary Operations<\/strong>: Here are the RD Sharma Solutions for Class 12 Chapter 3 \u2013 Binary Operations solutions in PDF format. Students who are facing difficulty in solving the exercise wise problems of Chapter 3 can download the exercise-wise solutions PDF of <strong>RD Sharma Solutions<\/strong>.<br \/>The RD Sharma Solutions for Class 12 are presented in a simple and concise manner, taking into account the students&#8217; understanding abilities. Students who want to do well on the Class 12 exam should use PDF as a primary study material. Students can get <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-12-solutions\/\"><strong>RD Sharma Solutions for Class 12<\/strong><\/a> Chapter 3 Binary Operations PDF from here to acquire a better understanding of the concepts covered here.<br \/><\/span><\/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-69e7675904f56\" 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-69e7675904f56\"><\/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-3\/#download-rd-sharma-solutions-class-12-maths-chapter-3-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 3 PDF\">Download RD Sharma Solutions Class 12 Maths Chapter 3 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-3\/#exercise-wise-rd-sharma-solutions-class-12-maths-chapter-3-all-inclusive-rd-sharma-solutions-link\" title=\"Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 | All-Inclusive RD Sharma Solutions Link\">Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 | All-Inclusive RD Sharma Solutions Link<\/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-3\/#detailed-exercise-wise-rd-sharma-solutions-class-12-maths-chapter-3-%e2%80%93-binary-operations\" title=\"Detailed Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations\">Detailed Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-3\/#brief-descriptions-of-the-questions-in-class-12-maths-chapter-3\" title=\"Brief descriptions of the Questions in Class 12 Maths Chapter 3\">Brief descriptions of the Questions in Class 12 Maths Chapter 3<\/a><\/li><\/ul><\/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-3\/#important-concepts-under-class-12-maths-chapter-3\" title=\"Important Concepts Under Class 12 Maths Chapter 3\">Important Concepts Under Class 12 Maths Chapter 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-3\/#faqs-on-rd-sharma-solutions-class-12-maths-chapter-3\" title=\"FAQs on RD Sharma Solutions Class 12 Maths Chapter 3\">FAQs on RD Sharma Solutions Class 12 Maths Chapter 3<\/a><ul class='ez-toc-list-level-3'><li class='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-3\/#where-can-i-get-rd-sharma-solutions-class-12-maths-chapter-3-free-pdf\" title=\"Where can I get RD Sharma Solutions Class 12 Maths Chapter 3 Free PDF?\">Where can I get RD Sharma Solutions Class 12 Maths Chapter 3 Free PDF?<\/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-3\/#how-can-i-use-the-rd-sharma-solutions-for-class-12-maths-chapter-3-effectively\" title=\"How can I use the RD Sharma Solutions for Class 12 Maths Chapter 3 effectively?\">How can I use the RD Sharma Solutions for Class 12 Maths Chapter 3 effectively?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-3\/#what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-12-maths-chapter-3\" title=\"What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 12 Maths Chapter 3?\">What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 12 Maths Chapter 3?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-maths-chapter-3-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 3 PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/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-3.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-3.pdf\">RD Sharma Solutions Class 12 Maths Chapter 3<\/a><\/p>\n<p><span style=\"font-weight: 400;\">RD Sharma Solutions Class 12 Maths Chapter 3 PDF is available for free download. The RD Sharma solutions assist you to find a way out when you are stuck somewhere in the problem-solving process.\u00a0<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"exercise-wise-rd-sharma-solutions-class-12-maths-chapter-3-all-inclusive-rd-sharma-solutions-link\"><\/span>Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 | All-Inclusive RD Sharma Solutions Link<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><span style=\"font-weight: 400;\">Chapter 3 Solutions<\/span><\/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-chapter-3-exercise-3-1\/\"><span style=\"font-weight: 400;\">RD Sharma for Class 12 Maths Chapter 3 Solutions 3.1<\/span><\/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-3-exercise-3-2\/\"><span style=\"font-weight: 400;\">RD Sharma for Class 12 Maths Chapter 3 Solutions 3.2<\/span><\/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-3-exercise-3-3\/\"><span style=\"font-weight: 400;\">RD Sharma for Class 12 Maths Chapter 3 Solutions 3.3<\/span><\/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-3-exercise-3-4\/\"><span style=\"font-weight: 400;\">RD Sharma for Class 12 Maths Chapter 3 Solutions 3.4<\/span><\/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-3-exercise-3-5\/\"><span style=\"font-weight: 400;\">RD Sharma for Class 12 Maths Chapter 3 Solutions 3.5<\/span><\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"detailed-exercise-wise-rd-sharma-solutions-class-12-maths-chapter-3-%e2%80%93-binary-operations\"><\/span>Detailed Exercise-wise RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">You need to understand a few concepts while studying binary operations exercises of RD Sharma Solution Chapter 3. 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 Binary operations<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The definition and meaning of Binary operations<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Number of binary operations, such as Commutativity, Associativity, and Distributivity<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Concepts of an identity element and the inverse of an element<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Composition table and multiplication module<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"brief-descriptions-of-the-questions-in-class-12-maths-chapter-3\"><\/span>Brief descriptions of the Questions in Class 12 Maths Chapter 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Exercise 3.1 Question 1: You need to determine whether the operations given in the question define a binary operation on the set.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.1 Question 2: You need to determine whether * mentioned in the question gives binary operation. You need to justify in the event the * is not a binary operation.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.1 Question 3: In this question, you will be given * to be considered as a binary operation on the set I of integers defined in the question, and you are required to answer the question by determining the value of 3*4.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.1 Question 4: You need to determine whether * given the set as mentioned in the question a binary operation and you need to justify your answer.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.1 Question 5: S is defined in the question, and you need to determine the total number of binary operations on S.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 1: In this question, you are given * to be considered as a binary operation on N defined, and you are required to find 2*4, 3*5, 1*6 and check the Commutativity and associativity of the binary operation * on <\/span> <span style=\"font-weight: 400;\">N.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 2: In this question, out of a couple of binary operations given and you need to determine associative one and commutative one out of the given options.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 3: You are given a set A which contains more than one element. You are instructed in the question to consider * as the binary operation on A defined, you need to find out if * is commutative or associative.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 4: You need to check the Commutativity and associativity of binary operations given in the question.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 5: o is defined as binary operation in the question on the set Q which consists of rational numbers but 1. You need to explain the process of the binary operation o is commutative on Q.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 6: The binary operation * on Z is defined in the question and your job would be to establish that that binary operation * is not commutative.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.2 Question 7: Z is a set of integers that is given in the question. The binary operation * is defined. You need to show that the binary operation * is not associative on Z.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.3 Question 1: In this section, you will practice exercises and solutions on how to find out the identity element. Your job as part of the solution is to identify the identity element in the set.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.3 Question 2: In this exercise, your job is to identify the identity element in the set w.r.t * as defined.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 1: The binary operation * in this question is on z defined. You need to show * as commutative and associative, find identity element in Z, and invertible element in Z.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 2: The binary operation * is on Q<\/span><span style=\"font-weight: 400;\">0<\/span><span style=\"font-weight: 400;\"> asset. Your job is to establish the binary operation is commutative and associative. Additionally, you need to find its identity element exists.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 3: The binary operation * is defined and you need to show that the binary operation is commutative as well as associative on Q. Additionally, you need to find the identity element in Q to show that every element on Q is invertible. In the same question, you will determine the inverse of an arbitrary element.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 4: You need to show the binary operation O defined on A is commutative and associative on A.\u00a0 Need to find out identity element and invertible element in A.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.5 Question 1: You are required to construct a composition table for x<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\"> on set S.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 2: In this question also, you practice how to construct the composition Table defined in the question.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 3: You need to construct a composition Table for x<\/span><span style=\"font-weight: 400;\">6 <\/span><span style=\"font-weight: 400;\">on Set S defined in the question.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 4: You need to construct a composition Table for x<\/span><span style=\"font-weight: 400;\">5 <\/span><span style=\"font-weight: 400;\">on Set Z<\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\"> defined in the question.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Exercise 3.4 Question 5: You need to construct a composition Table for x<\/span><span style=\"font-weight: 400;\">10 <\/span><span style=\"font-weight: 400;\">on Set S defined in the question and also to find the inverse of 3.\u00a0<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-concepts-under-class-12-maths-chapter-3\"><\/span>Important Concepts Under Class 12 Maths Chapter 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Concepts that are important to know to be able to solve questions of RD Sharma Solutions of Chapter 3 class 12 maths include:<\/span><\/p>\n<ul>\n<li>Definition and meaning of binary operations<\/li>\n<li>Number of binary operations<\/li>\n<li>Types of binary operations\n<ul>\n<li>Commutativity<\/li>\n<li>Associativity<\/li>\n<li>Distributivity<\/li>\n<\/ul>\n<\/li>\n<li>Identity element<\/li>\n<li>The inverse of an element<\/li>\n<li>Composition table<\/li>\n<li>Multiplication modulo<\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Once you have clear concepts on the above topics, you can go ahead and refer to the RD Sharma Solutions of Chapter 3 for Binary operation class 12 maths.<\/span><\/p>\n<p>You can leverage the solution of Binary Operations in RD Sharma Solutions Chapter 3 to complete your homework fast so you can concentrate on other subjects of <a href=\"http:\/\/cbse.nic.in\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 12 curriculums. If you have any queries, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-12-maths-chapter-3\"><\/span>FAQs on RD Sharma Solutions Class 12 Maths Chapter 3<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-1629788797099\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-solutions-class-12-maths-chapter-3-free-pdf\"><\/span>Where can I get RD Sharma Solutions Class 12 Maths Chapter 3 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Solutions Class 12 Maths Chapter 3 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629788883771\" 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-3-effectively\"><\/span>How can I use the RD Sharma Solutions for Class 12 Maths Chapter 3 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 Class 12 Maths Chapter 3 for board exam preparation &amp; competitive exam preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629788900834\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-12-maths-chapter-3\"><\/span>What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 12 Maths Chapter 3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The following are some of the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 12 Maths Chapter 3:<br \/>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The solutions are written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations: Here are the RD Sharma Solutions for Class 12 Chapter 3 \u2013 Binary Operations solutions in PDF format. Students who are facing difficulty in solving the exercise wise problems of Chapter 3 can download the exercise-wise solutions PDF of RD Sharma Solutions.The RD Sharma &#8230; <a title=\"RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-3\/\" aria-label=\"More on RD Sharma Solutions Class 12 Maths Chapter 3 &#8211; Binary Operations (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":118085,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3429,73223,61598,73664,4388,76720],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63163"}],"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=63163"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63163\/revisions"}],"predecessor-version":[{"id":121934,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/63163\/revisions\/121934"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/118085"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=63163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=63163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=63163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}