{"id":56203,"date":"2021-05-18T16:32:00","date_gmt":"2021-05-18T11:02:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=56203"},"modified":"2021-05-18T17:29:31","modified_gmt":"2021-05-18T11:59:31","slug":"ncert-solutions-for-class-12-maths-chapter-4-determinants","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants \u00a0"},"content":{"rendered":"\n<p><strong>NCERT Solutions for Class 12 Maths Chapter 4:<\/strong> Kopykitab provides NCERT Solutions For <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Class 12 Maths<\/strong><\/a> Chapter 4 Determinants, which are created by our professional faculty. All of the questions in the chapter have step-by-step solutions, and each solution has been explained using appropriate examples or formulas.<\/p>\n<ul>\n<li><strong>All you need to know about\u00a0<a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions For Class 12 Maths<\/a><\/strong><\/li>\n<\/ul>\n<p>Through supplementary skill-building tasks targeted to their grade levels, skills, and interests, we strive to bring out the best in you. Download and go through the NCERT Solutions for Class 12 Maths Chapter 3 PDF!<\/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-69e389185b608\" 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-69e389185b608\"><\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#download-ncert-solutions-for-class-12-maths-chapter-4-determinants-pdf\" title=\"Download NCERT Solutions for Class 12 Maths Chapter 4: Determinants PDF\">Download NCERT Solutions for Class 12 Maths Chapter 4: Determinants PDF<\/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:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#access-determinant-class-12-ncert-solutions-pdf\" title=\"Access Determinant Class 12 NCERT Solutions PDF\">Access Determinant Class 12 NCERT Solutions PDF<\/a><\/li><\/ul><\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#what-will-you-get-in-class-12-maths-chapter-4-determinants-ncert-solutions\" title=\"What will you get in Class 12 Maths Chapter 4 Determinants NCERT Solutions?\">What will you get in Class 12 Maths Chapter 4 Determinants NCERT Solutions?<\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#determinants-class-12-ncert-solutions-41-introduction\" title=\"Determinants Class 12 NCERT Solutions: 4.1: Introduction\">Determinants Class 12 NCERT Solutions: 4.1: Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-42-determinants\" title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.2: Determinants\">NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.2: Determinants<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-43-properties-of-determinants\" title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.3: Properties of Determinants\">NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.3: Properties of Determinants<\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-%e2%80%93-class-12-maths-chapter-4-%e2%80%93-determinants-44-area-of-triangle\" title=\"NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.4 Area of Triangle\">NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.4 Area of Triangle<\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-%e2%80%93-class-12-maths-chapter-4-%e2%80%93-determinants-45-minors-and-cofactors\" title=\"NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.5 Minors and Cofactors\">NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.5 Minors and Cofactors<\/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\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-46-adjoint-and-inverse-of-a-matrix\" title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.6 Adjoint and Inverse of a Matrix\">NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.6 Adjoint and Inverse of a Matrix<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-47-application-of-determinants-of-matrices\" title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.7: Application of Determinants of Matrices\">NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.7: Application of Determinants of Matrices<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-theorems-and-formulas-to-follow\" title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: Theorems and formulas to follow\">NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: Theorems and formulas to follow<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#also-access\" title=\"Also Access:\">Also Access:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#advantages-of-determinants-class-12-ncert-solutions\" title=\"Advantages of Determinants Class 12 NCERT Solutions\u00a0\">Advantages of Determinants Class 12 NCERT Solutions\u00a0<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#faqs-ncert-solutions-for-class-12-maths-chapter-4\" title=\"FAQs: NCERT Solutions for Class 12 Maths Chapter 4\">FAQs: NCERT Solutions for Class 12 Maths Chapter 4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#how-many-exercises-are-there-in-chapter-4-of-the-ncert-textbook-for-class-12-maths\" title=\"How many exercises are there in Chapter 4 of the NCERT textbook for Class 12 Maths?\">How many exercises are there in Chapter 4 of the NCERT textbook for Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#how-many-questions-are-there-in-ncert-maths-chapter-4-miscellaneous-exercise\" title=\"How many questions are there in NCERT Maths Chapter 4 Miscellaneous Exercise?\">How many questions are there in NCERT Maths Chapter 4 Miscellaneous Exercise?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#can-i-get-an-overview-of-the-ncert-solutions-for-class-12-maths-chapter-4-exercises\" title=\"Can I get an overview of the NCERT Solutions for Class 12 Maths Chapter 4 exercises?\">Can I get an overview of the NCERT Solutions for Class 12 Maths Chapter 4 exercises?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#are-ncert-solutions-for-class-12th-maths-chapter-4-sufficient-for-board-examinations-preparation\" title=\"Are NCERT Solutions for Class 12th Maths Chapter 4 sufficient for board examinations preparation?\">Are NCERT Solutions for Class 12th Maths Chapter 4 sufficient for board examinations preparation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#where-can-i-get-maths-chapter-4-class-12-ncert-solutions\" title=\"Where can I get Maths Chapter 4 Class 12 NCERT solutions?\">Where can I get Maths Chapter 4 Class 12 NCERT solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/#is-ncert-solutions-class-12-maths-chapter-4-helpful\" title=\"Is NCERT Solutions Class 12 Maths Chapter 4 helpful?\">Is NCERT Solutions Class 12 Maths Chapter 4 helpful?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-for-class-12-maths-chapter-4-determinants-pdf\"><\/span><strong>Download NCERT Solutions for Class 12 Maths Chapter 4: Determinants PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Calculating the determinant of a 2\u00d72 matrix, 3\u00d73 matrix, assessing the area of the triangle, and finding the equation of the line using determinant, minors, and co-factors are all problems covered by NCERT Solutions in Chapter 4 Maths Class 12.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-determinant-class-12-ncert-solutions-pdf\"><\/span><span style=\"color: #0000ff;\"><strong>Access Determinant Class 12 NCERT Solutions PDF<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/Class-12-Mathematics-Solutions-Chapter-4-1.pdf\">Class-12-Mathematics-Solutions-Chapter-4 pdf<\/a><\/p>\n<p>\u00a0<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<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\/10\/Class-12-Mathematics-Solutions-Chapter-4-1.pdf\", \"#example1\");<\/script><\/p>\n<p>Practicing these\u00a0<strong>Determinants Class 12 NCERT Solutions<\/strong>\u00a0will aid you in the board exam preparation in such a way that even the most difficult questions from this chapter will appear to be simple. Scroll down to know more!<\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-get-in-class-12-maths-chapter-4-determinants-ncert-solutions\"><\/span><strong>What will you get in Class 12 Maths Chapter 4 Determinants NCERT Solutions?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u00a0<\/strong>The chapter comes packed with 6 exercises along with miscellaneous exercises thus including all the essential elements associated with the topic. Let us check the subtopic covered in this chapter now-<\/p>\n<table style=\"width: 100%;\" width=\"486\">\n<tbody>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.1<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Introduction<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.2<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Determinant<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.3<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Properties of determinant<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.4<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Area of triangle<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.5<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Minors and cofactors<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.6<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Adjoint and inverse of the matrix<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.4224%;\" width=\"61\">\n<p>4.7<\/p>\n<\/td>\n<td style=\"width: 87.4534%;\" width=\"425\">\n<p>Application of determinants and matrices<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Determinants Class 12 NCERT Solutions Exercises follows:<\/strong><\/p>\n<table style=\"width: 100%;\" width=\"624\">\n<tbody>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Exercise 4.1 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>8 Questions (2 Long, 5 Short Answers, 1 MCQ)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Exercise 4.2 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>16 Questions(7 Long, 7 Short, 2 MCQs)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Exercise 4.3 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>5 Questions ( 4 Short Answers, 1 MCQ)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Exercise 4.4 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>5 Questions (4 Long, 1 MCQ)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Exercise 4.5 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>18 Questions (11 Long, 5 Short, 2 MCQs)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>\u00a0Exercise 4.6 Solutions<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>16 Questions (13 Long, 3 Short)<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>Miscellaneous Exercises<\/p>\n<\/td>\n<td style=\"width: 49.9379%;\" width=\"312\">\n<p>19 Questions (15 Long, 1 Short, 3 MCQs)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"determinants-class-12-ncert-solutions-41-introduction\"><\/span><strong>Determinants Class 12 NCERT Solutions: 4.1: Introduction<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The previous chapter already taught pupils about placing the system in a proper linear equation format in matrices. Also, they studied some other important details in the last chapter. The first intro portion will offer a brief recap which will help them to understand this chapter better.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-42-determinants\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.2: Determinants<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u00a0<\/strong>The section covers the-<\/p>\n<p>4.2.1 Determinant of a matrix of order one<\/p>\n<p>4.2.2 Determinant of a matrix of order two<\/p>\n<p>4.2.3 Determinant of a matrix of order 3 \u00d7 3<\/p>\n<p>The section provides a lesson in calculating the determinant of a square matrix in a different row, for instance, the one, two, or three with easy examples.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-43-properties-of-determinants\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.3: Properties of Determinants<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>As the title suggests, this segment will offer detailed notions about the properties of determinants thus simplifying the calculation by acquiring the maximum number of zeros in a row or in a column. These properties are applicable for every determinant of any order. But this chapter only states determinants of order three.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-%e2%80%93-class-12-maths-chapter-4-%e2%80%93-determinants-44-area-of-triangle\"><\/span><strong>NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.4 Area of Triangle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u00a0<\/strong>Students can calculate the area of a triangle with the help of the formulas when the coordinates of three vertices have been given. The portion covers finding the area of a triangle by metrifying the points into a determinant.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-%e2%80%93-class-12-maths-chapter-4-%e2%80%93-determinants-45-minors-and-cofactors\"><\/span><strong>NCERT Solutions &#8211; Class 12 Maths Chapter 4 &#8211; Determinants: 4.5 Minors and Cofactors<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This portion covers the concept of expansion of determinant in compact form with minors and cofactors after finishing the problems in the chapters.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-46-adjoint-and-inverse-of-a-matrix\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.6 Adjoint and Inverse of a Matrix<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Once students complete the last section, they will get a clear picture of this portion and will be able to find the inverse of the matrix using adjoint. Make sure to go through the theorems and formulas to have a thorough idea of the concept.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-47-application-of-determinants-of-matrices\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: 4.7: Application of Determinants of Matrices<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The section covers all the elaboration about the application of matrices thus explaining the topic of solving the linear equation in two or three variables. This area also teaches the student about the consistency of the system of the linear equation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-4-%e2%80%93-determinants-theorems-and-formulas-to-follow\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants: Theorems and formulas to follow<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>If any two rows or any two columns are identical or proportional, then the value of the determinant is zero<\/li>\n<li>A square matrix A has an inverse if and only if A is non-singular<\/li>\n<li>Unique solution of equation AX = B is given by X = A\u20131 B, where A \u2260 0<\/li>\n<li>If a system of equation is consistent, then it has a solution<\/li>\n<li>If a system of equations is inconsistent, then there is no solution<\/li>\n<li>For a square matrix A in matrix equation AX = B:<\/li>\n<\/ul>\n<p>If | A| \u2260 0, then there exists a unique solution<\/p>\n<p>If | A| = 0 and (adj A) B \u2260 0, then there exists no solution<\/p>\n<p>If | A| = 0 and (adj A) B = 0, then system may or may not be consistent.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"also-access\"><\/span><em><strong>Also Access:<\/strong><\/em><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"content-box-orange\">\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-syllabus\/\"><strong>CBSE Class 12 Maths Syllabus<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-sample-papers\/\"><strong>CBSE Class 12 Maths Sample Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-previous-year-papers\/\"><strong>CBSE Class 12 Maths Previous year Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rd-sharma-solutions\/\"><strong>CBSE Class 12 Maths RD Sharma Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rs-aggarwal-solutions\/\"><strong>CBSE Class 12 Maths RS Aggarwal Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-revision-notes\/\"><strong>CBSE Class 12 Maths Revision Notes<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-formulas\/\"><strong>CBSE Class 12 Maths Formulas<\/strong><\/a><\/li>\n<\/ul>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"advantages-of-determinants-class-12-ncert-solutions\"><\/span><strong>Advantages of <\/strong><strong>Determinants <\/strong><strong>Class 12 <\/strong><strong>NCERT Solutions\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Why one should opt for NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants? You should always look out for benefits to go with anything new. Let\u2019s find out-<\/p>\n<ol>\n<li>With Solutions for Class 12-Maths, you will get an in-depth idea about the chapter which will help them finish the chapter very soon.<\/li>\n<li>The more you run through the content the better understanding you will acquire concerning the chapter. It will not only help you for the 12th board\u2019s exam but will also help you crack several competitive exams in the upcoming days.<\/li>\n<li>It offers you more time and efficiency to study hard and rank better.<\/li>\n<li>NCERT Maths Solutions would assist students in solidifying their understanding of math topics.<\/li>\n<li>The study material is styled and curated by professionals to impart what is best suited to the students.<\/li>\n<\/ol>\n<p><strong>We have jotted down all the necessary updates concerning the upcoming 12th boards. NCERT Solutions for Class 12 Maths-Chapter 4 &#8211; Determinants is to help you with chapter 4. We wish you do great in your <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> finals. Also, we are always here to help you out.<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faqs-ncert-solutions-for-class-12-maths-chapter-4\"><\/span><strong>FAQs: NCERT Solutions for Class 12 Maths Chapter 4<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1621338776092\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-exercises-are-there-in-chapter-4-of-the-ncert-textbook-for-class-12-maths\"><\/span>How many exercises are there in Chapter 4 of the NCERT textbook for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In total, there are six exercises in Chapter 4 of Class 12 Maths.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621338828682\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-ncert-maths-chapter-4-miscellaneous-exercise\"><\/span>How many questions are there in NCERT Maths Chapter 4 Miscellaneous Exercise?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 19 questions (15 Long, 1 Short, 3 MCQs) in NCERT Maths Chapter 4 Miscellaneous Exercise.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621338919824\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-get-an-overview-of-the-ncert-solutions-for-class-12-maths-chapter-4-exercises\"><\/span>Can I get an overview of the NCERT Solutions for Class 12 Maths Chapter 4 exercises?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. Go through the above blog for an overview of the NCERT Solutions for Determinants Class 12 exercises.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621338964807\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-ncert-solutions-for-class-12th-maths-chapter-4-sufficient-for-board-examinations-preparation\"><\/span>Are NCERT Solutions for Class 12th Maths Chapter 4 sufficient for board examinations preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. NCERT Solutions for Class 12 Maths Chapter 4 covers all the topics of determinants which is sufficient for board examinations preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621339020339\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-maths-chapter-4-class-12-ncert-solutions\"><\/span>Where can I get Maths Chapter 4 Class 12 NCERT solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download Maths Chapter 4 Class 12 NCERT solutions from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621339052067\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-ncert-solutions-class-12-maths-chapter-4-helpful\"><\/span>Is NCERT Solutions Class 12 Maths Chapter 4 helpful?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the NCERT Ch. 4 exercises are addressed by subject matter experts which is described in easy-to-understand language.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 4: Kopykitab provides NCERT Solutions For Class 12 Maths Chapter 4 Determinants, which are created by our professional faculty. All of the questions in the chapter have step-by-step solutions, and each solution has been explained using appropriate examples or formulas. All you need to know about\u00a0NCERT Solutions For &#8230; <a title=\"NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants \u00a0\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-4-determinants\/\" aria-label=\"More on NCERT Solutions for Class 12 Maths Chapter 4 &#8211; Determinants \u00a0\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":56956,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934,2917,73712,73413,2985,73410],"tags":[62019,73223,73225,3570,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56203"}],"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=56203"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56203\/revisions"}],"predecessor-version":[{"id":89893,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56203\/revisions\/89893"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/56956"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=56203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=56203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=56203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}