{"id":60410,"date":"2022-01-29T21:32:14","date_gmt":"2022-01-29T16:02:14","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60410"},"modified":"2023-02-04T14:50:21","modified_gmt":"2023-02-04T09:20:21","slug":"ncert-exemplar-solutions-for-class-12-maths-chapter-4-determinants","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/","title":{"rendered":"NCERT Exemplar Solutions for Class 12 Maths Chapter 4 &#8211; Determinants"},"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'><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/#Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4_Determinants\" title=\"Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants\">Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants<\/a><\/li><\/ul><\/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-4-determinants\/#Frequently_Asked_Question\" title=\"Frequently Asked Question\">Frequently Asked Question<\/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'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/#How_many_problems_are_there_in_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\" title=\" How many problems are there in NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\"> How many problems are there in NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/#What_are_the_uses_of_determinants_according_to_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\" title=\"What are the uses of determinants according to NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\">What are the uses of determinants according to NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/#What_kind_of_problems_can_I_expect_in_the_first_term_exams_from_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\" title=\"What kind of problems can I expect in the first term exams from NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\">What kind of problems can I expect in the first term exams from NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<\/a><\/li><li class='ez-toc-page-1 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-4-determinants\/#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-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-4-determinants\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants, 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 <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE mains<\/a><\/span> and <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/neet\" target=\"_blank\" rel=\"noopener\">NEET<\/a><\/span>.<\/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\/60410\" 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_Chapter4DE-20.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_Chapter4DE-20.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=\"f5fd259434\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class12_Maths_Chapter4(DE-20)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">There are six exercises in Chapter Determinants, plus a miscellaneous exercise that includes all of the chapter&#8217;s questions. The following topics are covered in Chapter 4 NCERT Exemplar Solutions for Class 12 Maths Term I:<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" class=\"aligncenter wp-image-180934 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-Maths-300x200.webp\" alt=\"NCERT Exemplar Solutions for Class 12 Maths Chapter 4 - Determinants\" width=\"300\" height=\"200\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-Maths-300x200.webp 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-Maths-768x512.webp 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-Maths.webp 996w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.1 Introduction<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Students have already learned how to use matrices to represent a system of linear equations and how to use the determinant to determine whether or not this system has a unique solution. This section will be changed to include these items.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.2 Determinant<\/b><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.2.1<\/b><span style=\"font-weight: 400;\"> Determinant of a matrix of order one<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.2.2<\/b><span style=\"font-weight: 400;\"> Determinant of a matrix of order two<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.2.3<\/b><span style=\"font-weight: 400;\"> Determinant of a matrix of order 3 \u00d7 3<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Students will learn how to find the determinant of a square matrix of various orders, such as one, two, and three, as well as examples, in this section.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.3 Properties of Determinants<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Students learnt how to expand the determinants in the previous part. In this section, they will look at certain determinant qualities that make evaluating them easier by determining the greatest number of zeros in a row or column. These principles hold true for any order of determinants. However, it has only been applied to determinants of order three in this chapter.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.4 Area of a Triangle<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">When the coordinates of three vertices are supplied, we may use the formula to get the area of a triangle. You&#8217;ll learn how to find the area of a triangle by translating the points into a determinant in this section.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.5 Minors and Cofactors<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">After working through the problems in this part, students will be able to write the expansion of a determinant in compact form using minors and cofactors.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.6 Adjoint and Inverse of a Matrix<\/b><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.6.1<\/b> <b>Adjoint of a matrix<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">After working through the exercises in this section, you&#8217;ll have a firm grasp on how to use an adjoint to obtain the inverse of a matrix. This section contains several theorems and examples to help you improve your skills.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.7 Applications of Determinants and Matrices<\/b><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>4.7.1 Solution of system of linear equations using inverse of a matrix<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In these NCERT Exemplar Solutions, you will get a detailed explanation of how to use determinants and matrices to solve systems of linear equations in two or three variables, as well as how to assess the system&#8217;s coherence.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Exercise 4.1 Solutions<\/span><span style=\"font-weight: 400;\">: 8 Questions (2 Long, 5 Short Answers, 1 MCQ)<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 4.2 Solutions: 16 Questions(7 Long, 7 Short, 2 MCQs)<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 4.3 Solutions: 5 Questions ( 4 Short Answers, 1 MCQ)<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 4.4 Solutions: 5 Questions (4 Long, 1 MCQ)<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 4.5 Solutions: 18 Questions (11 Long, 5 Short, 2 MCQs)<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 4.6 Solutions: 16 Questions (13 Long, 3 Short)<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Exercise Solutions: 19 Questions (15 Long, 1 Short, 3 MCQs)<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4_Determinants\"><\/span><span style=\"font-size: 12pt;\"><b>Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The <\/span><b>NCERT Exemplar Solutions Class 12<\/b><span style=\"font-weight: 400;\"> of Infinity learn for Chapter 4 covers the following points and formulas. <\/span><\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The value of the determinant is zero if any two rows or columns are identical or proportionate.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A matrix that is square. If and only if A is non-singular, it has an inverse.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Unique solution of equation AX = B is given by X = A\u20131 B, where A \u2260 0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A system of equations has a solution if it is consistent.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">There is no solution if a system of equations is inconsistent.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">For a square matrix A in matrix equation AX = B:<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If | A| \u2260 0, then there exists a unique solution<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If | A| = 0 and (adj A) B \u2260 0, then there exists no solution<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If | A| = 0 and (adj A) B = 0, then system may or may not be consistent<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Question\"><\/span><span style=\"font-size: 12pt;\"><b>Frequently Asked Question<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-size: 12pt;\">\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=\"How_many_problems_are_there_in_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\"><\/span> How many problems are there in NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<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\tAns: Exercise 4.1 has 8 questions, Exercise 4.2 has 16 questions, Exercises 4.3 and 4.4 have 5 questions, Exercise 4.5 has 18 questions, Exercise 4.6 has 16 questions, and the miscellaneous exercise has 19 questions. Long answers, short answers, and MCQs are included in each assignment, and they cover the areas that are important for the first term test. A team of infinity learn professionals with broad conceptual understanding creates the solutions for the exercise-specific issues.\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_uses_of_determinants_according_to_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\"><\/span>What are the uses of determinants according to NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<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\t Determinants are a key subject in algebra that has a variety of applications. This notion can be applied to the solution of a collection of linear equations. Students will be able to understand the change in the area, volume, and variables in terms of integrals using determinants. It can also be used to calculate square matrices' values.\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_kind_of_problems_can_I_expect_in_the_first_term_exams_from_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_4\"><\/span>What kind of problems can I expect in the first term exams from NCERT Exemplar Solutions for Class 12 Maths Chapter 4?<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 will cover issues using the use of determinants to solve a set of linear equations. Proofs that can be derived using determinant theory and show that sums are also essential from the perspective of the term \u2013 I exam. You should use determinants and their resulting values to determine the values of unknown variables in some instances.\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\": \" How many problems are there in NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Ans: Exercise 4.1 has 8 questions, Exercise 4.2 has 16 questions, Exercises 4.3 and 4.4 have 5 questions, Exercise 4.5 has 18 questions, Exercise 4.6 has 16 questions, and the miscellaneous exercise has 19 questions. Long answers, short answers, and MCQs are included in each assignment, and they cover the areas that are important for the first term test. A team of infinity learn professionals with broad conceptual understanding creates the solutions for the exercise-specific issues.\"\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 uses of determinants according to NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Determinants are a key subject in algebra that has a variety of applications. This notion can be applied to the solution of a collection of linear equations. Students will be able to understand the change in the area, volume, and variables in terms of integrals using determinants. It can also be used to calculate square matrices' values.\"\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 kind of problems can I expect in the first term exams from NCERT Exemplar Solutions for Class 12 Maths Chapter 4?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"This chapter will cover issues using the use of determinants to solve a set of linear equations. Proofs that can be derived using determinant theory and show that sums are also essential from the perspective of the term \u2013 I exam. You should use determinants and their resulting values to determine the values of unknown variables in some instances.\"\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<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 4 Determinants, which includes thorough solutions for reference. 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Determinants","NCERT Exemplar Solutions Determinants"],"articleSection":["Class 12","Maths","NCERT Exemplar Solutions"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/143c89c9c2f5e56ed91f96dde47b0b05","name":"Prasad Gupta","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/200104b443e586c76c46cadc113d931c?s=96&d=mm&r=g","caption":"Prasad Gupta"},"url":"https:\/\/infinitylearn.com\/surge\/author\/prasad\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/60410"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=60410"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/60410\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=60410"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=60410"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=60410"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=60410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}