{"id":28737,"date":"2021-02-10T16:09:00","date_gmt":"2021-02-10T10:39:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=28737"},"modified":"2022-05-31T17:09:20","modified_gmt":"2022-05-31T11:39:20","slug":"case-study-questions-class-12-maths","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/","title":{"rendered":"Class 12 Maths Case Study Questions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-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:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Why_Case_Studies_in_CBSE_Syllabus\" >Why Case Studies in CBSE Syllabus?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_in_Maths\" >Case Study Questions in Maths<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Focus_on_concepts\" >Focus on concepts<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Easy_Questions_with_a_Practical_Approach\" >Easy Questions with a Practical Approach<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Practice_Questions_Regularly\" >Practice Questions Regularly<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#12_Maths_Case-Based_Questions\" >12 Maths Case-Based Questions<\/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:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Question_%E2%80%93_1\" >Case Study Question &#8211; 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Question_%E2%80%93_2\" >Case Study Question &#8211; 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Matrices_-1\" >Case Study Questions Matrices -1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Matrices_%E2%80%93_2\" >Case Study Questions Matrices &#8211; 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Determinants_%E2%80%93_01\" >Case Study Questions Determinants &#8211; 01<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Determinants_%E2%80%93_02\" >Case Study Questions Determinants &#8211; 02<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Application_of_Derivatives\" >Case Study Questions Application of Derivatives<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#Case_Study_Questions_Vector_Algebra\" >Case Study Questions Vector Algebra<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#More_Case_Study_Questions\" >More Case Study Questions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#12_Maths_Exam_pattern\" >12 Maths Exam pattern<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/#12_Maths_Prescribed_Books\" >12 Maths Prescribed Books<\/a><\/li><\/ul><\/nav><\/div>\n<p>Class 12 Maths question paper will have 1-2 Case Study Questions. These questions will carry 5 MCQs and students will attempt any four of them. As all of these are only MCQs, it is easy to score good marks with a little practice. Class 12 Maths Case Study Questions are available on the <strong><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide\">myCBSEguide App<\/a><\/strong> and <strong><a href=\"https:\/\/mycbseguide.com\/dashboard\/home\">Student Dashboard<\/a><\/strong>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/blog\/12_maths_casestudy.jpg\" alt=\"Case Study Questions\" width=\"500\" height=\"260\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Why_Case_Studies_in_CBSE_Syllabus\"><\/span>Why Case Studies in CBSE Syllabus?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE has introduced case study questions in the CBSE curriculum recently. The purpose was to make students ready to face real-life challenges with the knowledge acquired in their classrooms. It means, there was a need to connect theories with practicals. Whatsoever the students are learning, they must know how to apply it in their day-to-day life. That&#8217;s why CBSE is emphasizing case studies and <a href=\"https:\/\/cbseacademic.nic.in\/cbe\/index.html\">competency-based education<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Case_Study_Questions_in_Maths\"><\/span>Case Study Questions in Maths<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Let&#8217;s have a look over the class 12 Mathematics sample question paper issued by CBSE, New Delhi. Question numbers 17 and 18 are case study questions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Focus_on_concepts\"><\/span>Focus on concepts<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>If you go through each MCQ there, you will find that the theme\/case study is common but the questions are based on different concepts related to the theme. It means, that if you have done ample practice on the various concepts, you can solve all these MCQs in minutes.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Easy_Questions_with_a_Practical_Approach\"><\/span>Easy Questions with a Practical Approach<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The difficulty level of the questions is average or say easy in some cases. On the other hand, you get four options to choose from. So, you get two levels of support to get full marks with very little effort.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Practice_Questions_Regularly\"><\/span>Practice Questions Regularly<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Most of the time we feel that it&#8217;s easy and neglect it. But in the end, we have to pay for this negligence. This may happen here too. Although it&#8217;s easy to score good marks on the case study questions if you don&#8217;t practice such questions, you may lose your marks. So, we suggest students should practice at least 30-40 such questions before writing the board exam.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"12_Maths_Case-Based_Questions\"><\/span>12 Maths Case-Based Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We are giving you some examples of case study questions here. We have arranged hundreds of such questions chapter-wise on the myCBSEguide App. It is the complete guide for CBSE students. You can download the <strong><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide\">myCBSEguide App<\/a><\/strong> and get more case study questions there.<\/p>\n<p style=\"text-align: center;\"><a class=\"mks_button mks_button_medium rounded\" href=\"http:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide\" target=\"_blank\" style=\"color: #FFFFFF; background-color: #106cbc;\" ><i class=\"icon-cloud-download\"><\/i>12 Maths Case Study Questions<\/a>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Question_%E2%80%93_1\"><\/span>Case Study Question &#8211; 1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Two schools P and Q want to award their selected students on the values of Tolerance, Kindness, and Leadership. The school P wants to award Rs x each, Rs y each and Rs z each for the three respective values to 3, 2 and 1 students respectively with total award money of Rs. 2200.<br \/>\nSchool Q wants to spend\u00a0Rs 3100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is\u00a0Rs1200, using matrices, find the following:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/mcQlgPN.png\" alt=\"\" width=\"191\" height=\"148\" data-imgur-src=\"mcQlgPN.png\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/mcQlgPN.png\" \/><\/p>\n<ol start=\"1\">\n<li style=\"list-style-type: none;\">\n<ol start=\"1\">\n<li>What is award money for Tolerance?\n<ol start=\"1\">\n<li>350<\/li>\n<li>300<\/li>\n<li>500<\/li>\n<li>400<\/li>\n<\/ol>\n<\/li>\n<li>What is the award money for Leadership?\n<ol start=\"1\">\n<li>300<\/li>\n<li>280<\/li>\n<li>450<\/li>\n<li>500<\/li>\n<\/ol>\n<\/li>\n<li>What is the award money for Kindness?\n<ol start=\"1\">\n<li>500<\/li>\n<li>400<\/li>\n<li>300<\/li>\n<li>550<\/li>\n<\/ol>\n<\/li>\n<li>If a matrix A is both symmetric and skew-symmetric, then\n<ol start=\"1\">\n<li>A is a diagonal matrix<\/li>\n<li>A is a scalar matrix<\/li>\n<li>A is a zero matrix<\/li>\n<li>A is a square matrix<\/li>\n<\/ol>\n<\/li>\n<li>If A and B are two matrices such that AB = B and BA = A, then B<sup>2<\/sup> is equal to<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<ol start=\"1\">\n<li style=\"list-style-type: none;\">\n<ol start=\"1\">\n<li style=\"list-style-type: none;\">\n<ol start=\"1\">\n<li>B<\/li>\n<li>A<\/li>\n<li>1<\/li>\n<li>0<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Question_%E2%80%93_2\"><\/span>Case Study Question &#8211; 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A man has an expensive square shape piece of golden board of size 24 cm is to be made into a box without top by cutting from each corner and folding the flaps to form a box.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/65f44e1c4b3e91bc8c2b0ebf99509abc.jpg\" alt=\"An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares - Brainly.in\" width=\"232\" height=\"120\" data-imgur-src=\"65f44e1c4b3e91bc8c2b0ebf99509abc.jpg\" data-cke-saved-src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/65f44e1c4b3e91bc8c2b0ebf99509abc.jpg\" \/><\/p>\n<ol>\n<li>Volume of open box formed by folding up the flap:\n<ol>\n<li>4(x<sup>3\u00a0<\/sup>&#8211; 24x<sup>2<\/sup><sub>\u00a0<\/sub>+ 144x)<\/li>\n<li>4(x<sup>3<\/sup>&#8211; 34x<sup>2<\/sup><sub>\u00a0<\/sub>+ 244x)<\/li>\n<li>x<sup>3\u00a0<\/sup>&#8211; 24x<sup>2<\/sup><sub>\u00a0<\/sub>+ 144x<\/li>\n<li>4x<sup>3\u00a0<\/sup>&#8211; 24x<sup>2<\/sup><sub>\u00a0<\/sub>+ 144x<\/li>\n<\/ol>\n<\/li>\n<li>In the first derivative test, if dy\/dx changes its sign from positive to negative as x increases through c<sub>1<\/sub>, then function attains a:\n<ol>\n<li>Local maxima at x = c<sub>1<\/sub><\/li>\n<li>Local minima at x = c<sub>1<\/sub><\/li>\n<li>Neither maxima nor minima at x = c<sub>1<\/sub><\/li>\n<li>None of these<\/li>\n<\/ol>\n<\/li>\n<li>What should be the side of the square piece to be cut from each corner of the board to behold the maximum volume?\n<ol>\n<li>14 cm<\/li>\n<li>12 cm<\/li>\n<li>4 cm<\/li>\n<li>5 cm<\/li>\n<\/ol>\n<\/li>\n<li>What should be the maximum volume of open box?\n<ol>\n<li>1034 cm<sup>3<\/sup><\/li>\n<li>1024 cm<sup>3<\/sup><\/li>\n<li>1204 cm<sup>3<\/sup><\/li>\n<li>4021 cm<sup>3<\/sup><\/li>\n<\/ol>\n<\/li>\n<li>The smallest value of the polynomial x<sup>3<\/sup>\u00a0\u2013 18x<sup>2<\/sup>\u00a0+ 96x in [0, 9] is:\n<ol>\n<li>126<\/li>\n<li>0<\/li>\n<li>135<\/li>\n<li>160<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Matrices_-1\"><\/span><strong>Case Study Questions <\/strong><strong>Matrices -1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Read the case study carefully and answer any four out of the following questions:<\/strong><br \/>\nThree friends Ravi, Raju and Rohit were buying and selling stationery items in a market. The price of per dozen of Pen, notebooks and toys are Rupees x, y and z respectively.<br \/>\nRavi purchases 4 dozen of notebooks and sells 2 dozen pens and 5 dozen toys. Raju purchases 2 dozen toys and sells 3 dozen pens and 1 dozen of notebooks. Rohit purchases one dozen of pens and sells 3 dozen notebooks and one dozen toys.<br \/>\nIn the process, Ravi, Raju and Rohit earn \u20b9 1500, \u20b9 100 and \u20b9400 respectively.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/1610605387-xtw9f6.jpg\" alt=\"\" width=\"230\" height=\"196\" data-imgur-src=\"iPDjT2b.png\" \/><br \/>\nAnswer the following questions using the matrix method:<\/p>\n<ol start=\"1\">\n<li>What is the price of one dozen of pens?\n<ol start=\"1\">\n<li>\u20b9 100<\/li>\n<li>\u20b9 200<\/li>\n<li>\u20b9 300<\/li>\n<li>\u20b9 400<\/li>\n<\/ol>\n<\/li>\n<li>What is the total price of one dozen of pens and one dozen of notebooks?\n<ol start=\"1\">\n<li>\u20b9 100<\/li>\n<li>\u20b9 200<\/li>\n<li>\u20b9 300<\/li>\n<li>\u20b9 400<\/li>\n<\/ol>\n<\/li>\n<li>What is the sale amount\u00a0of Ravi?\n<ol start=\"1\">\n<li>\u20b9 1000<\/li>\n<li>\u20b9 1100<\/li>\n<li>\u20b9 1300<\/li>\n<li>\u20b9 1200<\/li>\n<\/ol>\n<\/li>\n<li>What is the amount of purchases made by all three friends?\n<ol start=\"1\">\n<li>\u20b9 1200<\/li>\n<li>\u20b9 1500<\/li>\n<li>\u20b9 1300<\/li>\n<li>\u20b9 1400<\/li>\n<\/ol>\n<\/li>\n<li>What is the price of sales made by all three friends?\n<ol start=\"1\">\n<li>\u20b9 3000<\/li>\n<li>\u20b9 2500<\/li>\n<li>\u20b9 2700<\/li>\n<li>\u20b9 2400<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(a) \u20b9 100<\/li>\n<li>(c) \u20b9 300<\/li>\n<li>(d) \u20b9 1200<\/li>\n<li>(b) \u20b9 1500<\/li>\n<li>(c) \u20b9 2700<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Matrices_%E2%80%93_2\"><\/span><strong>Case Study Questions <\/strong><strong>Matrices &#8211; 2<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Read the case study carefully and answer any four out of the following questions:<\/strong><br \/>\nOnce a mathematics teacher drew a triangle ABC on the blackboard. Now he asked Jose,&#8221; If I increase AB by 11 cm and decrease the\u00a0side BC by 11 cm, then what type of triangle it would be?&#8221;<br \/>\nJose said, &#8220;It will become an equilateral triangle.&#8221;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/1610605392-k9bhd6.jpg\" width=\"382\" height=\"181\" data-imgur-src=\"6q2K9NI.jpg\" \/><\/p>\n<p>Again teacher asked\u00a0Suraj,&#8221; If I multiply the side AB by 4 then what will be the relation of this with side AC?&#8221;<br \/>\nSuraj said it will be 10 cm more than the three times AC.<\/p>\n<p><strong>Find the sides of the triangle using the matrix method and\u00a0 answer the following questions:<\/strong><\/p>\n<ol start=\"1\">\n<li>What is the length of the smallest side?\n<ol start=\"1\">\n<li>54 cm<\/li>\n<li>43 cm<\/li>\n<li>30 cm<\/li>\n<li>35 cm<\/li>\n<\/ol>\n<\/li>\n<li>What is the length of the largest side?\n<ol start=\"1\">\n<li>54 cm<\/li>\n<li>43 cm<\/li>\n<li>65 cm<\/li>\n<li>35 cm<\/li>\n<\/ol>\n<\/li>\n<li>What is the perimeter of the triangle?\n<ol start=\"1\">\n<li>150 cm<\/li>\n<li>160 cm<\/li>\n<li>165 cm<\/li>\n<li>162cm<\/li>\n<\/ol>\n<\/li>\n<li>What is the side of the equilateral triangle formed?\n<ol start=\"1\">\n<li>54 cm<\/li>\n<li>43 cm<\/li>\n<li>30 cm<\/li>\n<li>35 cm<\/li>\n<\/ol>\n<\/li>\n<li>What is the order of the matrix formed?\n<ol start=\"1\">\n<li>3\u00a0<span class=\"math-tex\">\u00d7<\/span>\u00a03<\/li>\n<li>2\u00a0<span class=\"math-tex\">\u00d7<\/span>\u00a03<\/li>\n<li>3\u00a0<span class=\"math-tex\">\u00d7<\/span>\u00a02<\/li>\n<li>2\u00a0<span class=\"math-tex\">\u00d7<\/span>\u00a02<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(b) 43 cm<\/li>\n<li>(c)\u00a065 cm<\/li>\n<li>(d) 162 cm<\/li>\n<li>(a) 54 cm<\/li>\n<li>(a) 3\u00a0<span class=\"math-tex\">\u00d7<\/span>\u00a03<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Determinants_%E2%80%93_01\"><\/span><strong>Case Study Questions <\/strong><strong>Determinants &#8211; 01<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>DETERMINANTS:\u00a0<\/strong>A determinant is a square array of numbers (written within a pair of vertical lines) that represents a certain sum of products.<br \/>\nWe can solve a system of equations using determinants, but it becomes very tedious for large systems. We will only do 2 \u00d7 2 and 3 \u00d7 3 systems using determinants. Using the properties of determinants solve the problem given below and answer the questions that follow:<\/p>\n<p>Three shopkeepers Ram Lal, Shyam Lal, and Ghansham are using polythene bags, handmade bags (prepared by prisoners), and newspaper envelopes as carrying bags. It is found that the shopkeepers Ram Lal, Shyam Lal, and Ghansham are using (20,30,40), (30,40,20), and (40,20,30) polythene bags, handmade bags, and newspapers envelopes respectively. The shopkeeper&#8217;s Ram Lal, Shyam Lal, and Ghansham spent \u20b9250, \u20b9270, and \u20b9200 on these carry bags respectively.<\/p>\n<ol start=\"1\">\n<li>\u00a0What is\u00a0the cost of one\u00a0polythene bag?\n<ol start=\"1\">\n<li>\u20b9 1<\/li>\n<li>\u20b9 2<\/li>\n<li>\u20b9 3<\/li>\n<li>\u20b9 5<\/li>\n<\/ol>\n<\/li>\n<li>What is\u00a0the cost of one handmade\u00a0bag?\n<ol start=\"1\">\n<li>\u20b9 1<\/li>\n<li>\u20b9 2<\/li>\n<li>\u20b9 3<\/li>\n<li>\u20b9 5<\/li>\n<\/ol>\n<\/li>\n<li>What is\u00a0the cost of one newspaper bag?\n<ol>\n<li>\u20b9 1<\/li>\n<li>\u20b9 2<\/li>\n<li>\u20b9 3<\/li>\n<li>\u20b9 5<\/li>\n<\/ol>\n<\/li>\n<li>Keeping in mind the social conditions, which shopkeeper is better?\n<ol start=\"1\">\n<li>Ram Lal<\/li>\n<li>Shyam Lal<\/li>\n<li>Ghansham<\/li>\n<li>None of these<\/li>\n<\/ol>\n<\/li>\n<li>Keeping in mind the environmental conditions, which shopkeeper is better?\n<ol start=\"1\">\n<li>Ram Lal<\/li>\n<li>Shyam Lal<\/li>\n<li>Ghansham<\/li>\n<li>None of these<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(a)\u00a0\u20b91<\/li>\n<li>(b)\u00a0\u20b9 2<\/li>\n<li>(d)\u00a0\u20b9 5<\/li>\n<li>(b) Shyam Lal<\/li>\n<li>(a) Ram Lal<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Determinants_%E2%80%93_02\"><\/span><strong>Case Study Questions <\/strong><strong>Determinants &#8211; 02<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Matrices\/Determinants:<\/strong>\u00a0In linear algebra, the\u00a0<b>determinant<\/b>\u00a0is a scalar value that can be computed from the elements of a square matrix and encodes certain properties of the linear transformation described by the matrix. The\u00a0<b>determinant<\/b>\u00a0of a matrix A is denoted det(A) or |A|. Using determinants\/ Matrices calculate the following:<br \/>\nRam purchases 3 pens, 2 bags, and 1 instrument box and pays\u00a0\u20b9 41. From the same shop, Dheeraj purchases 2 pens, 1 bag, and 2 instrument boxes and pays\u00a0\u20b929, while Ankur purchases 2 pens, 2 bags, and 2 instrument boxes and pays\u00a0\u20b944.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/ByPjA8A.png\" alt=\"\" width=\"281\" height=\"187\" data-imgur-src=\"ByPjA8A.png\" \/><br \/>\nRead the above information and answer the following questions:<\/p>\n<ol start=\"1\">\n<li>Find the cost of one pen.\n<ol start=\"1\">\n<li>\u20b9 2<\/li>\n<li>\u20b9 5<\/li>\n<li>\u20b9 10<\/li>\n<li>\u20b915<\/li>\n<\/ol>\n<\/li>\n<li>What are the cost of one pen and one bag?\n<ol start=\"1\">\n<li>\u20b9 12<\/li>\n<li>\u20b9 15<\/li>\n<li>\u20b9 17<\/li>\n<li>\u20b925<\/li>\n<\/ol>\n<\/li>\n<li>What is the cost of one pen &amp; one instrument box?\n<ol start=\"1\">\n<li>\u20b9 7<\/li>\n<li>\u20b9 12<\/li>\n<li>\u20b9 17<\/li>\n<li>\u20b925<\/li>\n<\/ol>\n<\/li>\n<li>What is the cost of one bag &amp; one instrument box?\n<ol start=\"1\">\n<li>\u20b9 20<\/li>\n<li>\u20b9 25<\/li>\n<li>\u20b9 10<\/li>\n<li>\u20b915<\/li>\n<\/ol>\n<\/li>\n<li>Find the cost of one pen, one bag, and one instrument box.\n<ol start=\"1\">\n<li>\u20b9 22<\/li>\n<li>\u20b9 25<\/li>\n<li>\u20b9 20<\/li>\n<li>\u20b924<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(a)\u00a0\u20b9 2<\/li>\n<li>(c)\u00a0\u20b917<\/li>\n<li>(a) \u20b97<\/li>\n<li>(a) \u20b920<\/li>\n<li>(a)\u00a0\u20b922<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Application_of_Derivatives\"><\/span><strong>Case Study Questions <\/strong><strong>Application of Derivatives<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A telephone company in a town has 500 subscribers on its list and collects fixed charges of 300 per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of 1 one subscriber will discontinue the service.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/6bJ5b3G.png\" alt=\"\" width=\"295\" height=\"225\" data-imgur-src=\"6bJ5b3G.png\" \/><\/p>\n<ol start=\"1\">\n<li>If x be the annual subscription\u00a0 then the total revenue of the company after increment will be:\n<ol start=\"1\">\n<li>R(x) =\u00a0-x<sup>2<\/sup>\u00a0+ 200x + 150000<\/li>\n<li>R(x) = x<sup>2<\/sup>\u00a0&#8211;\u00a0200x &#8211; 140000<\/li>\n<li>R(x) = 200x<sup>2<\/sup>\u00a0+ x + 150000<\/li>\n<li>R(x) = -x<sup>2<\/sup>\u00a0+ 100 x + 100000<\/li>\n<\/ol>\n<\/li>\n<li>To find maximum profit we put\n<ol start=\"1\">\n<li>R'(x) = 0<\/li>\n<li>R'(x) &gt;\u00a00<\/li>\n<li>R'(x) &lt;\u00a00<\/li>\n<li>R&#8221;(x) = 0<\/li>\n<\/ol>\n<\/li>\n<li>How much fee the company should increase to have maximum profit?\n<ol start=\"1\">\n<li>Rs. 150<\/li>\n<li>Rs. 100<\/li>\n<li>Rs. 200<\/li>\n<li>Rs. 250<\/li>\n<\/ol>\n<\/li>\n<li>Find the maximum profit that the company can make if the profit function is given by P(x) = 41 + 24x &#8211; 18x<sup>2<\/sup>.\n<ol start=\"1\">\n<li>25<\/li>\n<li>44<\/li>\n<li>45<\/li>\n<li>49<\/li>\n<\/ol>\n<\/li>\n<li>Find both the maximum and minimum values respectively of 3x<sup>4<\/sup>\u00a0&#8211; 8x<sup>3<\/sup>\u00a0+ 48x + 1 on the interval [1, 4].\n<ol start=\"1\">\n<li>-63, 257<\/li>\n<li>258, -63<\/li>\n<li>257, -63<\/li>\n<li>-63, -257<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(a) -x<sup>2\u00a0<\/sup>+ 200x + 150000<\/li>\n<li>(a) R'(x) = 0<\/li>\n<li>(b) Rs.100<\/li>\n<li>(d) 49<\/li>\n<li>(c) 257, -63<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Case_Study_Questions_Vector_Algebra\"><\/span><strong>Case Study Questions <\/strong><strong>Vector Algebra<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/EixoHy9.png\" alt=\"\" width=\"361\" height=\"197\" data-imgur-src=\"EixoHy9.png\" \/><br \/>\nA plane started from airport O with a velocity of 120 m\/s towards east. Air is blowing at a velocity of 50 m\/s towards the north As shown in the figure.<br \/>\nThe plane travelled 1 hr in OA direction with the resultant velocity. From A and B travelled 1 hr with keeping velocity of 120 m\/s and finally landed at B.<\/p>\n<ol start=\"1\">\n<li>What is the resultant velocity from O to A?\n<ol start=\"1\">\n<li>100 m\/s<\/li>\n<li>130 m\/s<\/li>\n<li>120 m\/s<\/li>\n<li>170 m\/s<\/li>\n<\/ol>\n<\/li>\n<li>What is the direction of travel of plane O to A with east?\n<ol start=\"1\">\n<li><span class=\"math-tex\">tan\u22121\u2061(5\/12)<\/span><\/li>\n<li><span class=\"math-tex\">tan\u22121\u2061(12\/3)<\/span><\/li>\n<li>40<sup>o<\/sup><\/li>\n<li>30<sup>o<\/sup><\/li>\n<\/ol>\n<\/li>\n<li>What is the total displacement from O to A?\n<ol start=\"1\">\n<li>500 km<\/li>\n<li>468 km<\/li>\n<li>432 km<\/li>\n<li>400 km<\/li>\n<\/ol>\n<\/li>\n<li>What is the resultant velocity from A to B?\n<ol start=\"1\">\n<li>120 m\/s<\/li>\n<li>70 m\/s<\/li>\n<li>170 m\/s<\/li>\n<li>200 m\/s<\/li>\n<\/ol>\n<\/li>\n<li>What is the displacement from A to B?\n<ol start=\"1\">\n<li>550 km<\/li>\n<li>432 km<\/li>\n<li>600 km<\/li>\n<li>612 km<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><strong>Answer Key:<\/strong><\/p>\n<ol start=\"1\">\n<li>(b) 130 m\/s<\/li>\n<li>(a)\u00a0<span class=\"math-tex\">tan\u22121\u2061(5\/12)<\/span><\/li>\n<li>(b) 468 km<\/li>\n<li>(b) 170 m\/s<\/li>\n<li>(d) 612 km<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"More_Case_Study_Questions\"><\/span>More Case Study Questions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>These are only some samples. If you wish to get more case study questions for CBSE class 12 maths, install the myCBSEguide App. It has class 12 Maths chapter-wise case studies with solutions.<\/p>\n<p style=\"text-align: center;\"><a class=\"mks_button mks_button_medium rounded\" href=\"http:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide\" target=\"_blank\" style=\"color: #FFFFFF; background-color: #106cbc;\" ><i class=\"icon-cloud-download\"><\/i>12 Maths Case Study Questions<\/a>\n<h2><span class=\"ez-toc-section\" id=\"12_Maths_Exam_pattern\"><\/span>12 Maths Exam pattern<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Question Paper Design of CBSE class 12 maths is as below. It clearly shows that 20% weightage will be given to HOTS questions. Whereas 55% of questions will be easy to solve.<\/p>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td><strong>S.No.<\/strong><\/td>\n<td><strong>Typology of Questions<\/strong><\/td>\n<td><strong>Total Marks<\/strong><\/td>\n<td><strong>% Weightage<\/strong><\/td>\n<\/tr>\n<tr>\n<td>1.<\/td>\n<td><strong>Remembering:<\/strong>\u00a0Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.<br \/>\n<strong>Understanding:<\/strong>\u00a0Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas<\/td>\n<td>44<\/td>\n<td>55<\/td>\n<\/tr>\n<tr>\n<td>2.<\/td>\n<td><strong>Applying:<\/strong>\u00a0Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.<\/td>\n<td>20<\/td>\n<td>25<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"3\">3.<\/td>\n<td><strong>Analysing:<\/strong><br \/>\nExamine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations<\/td>\n<td rowspan=\"3\">16<\/td>\n<td rowspan=\"3\">20<\/td>\n<\/tr>\n<tr>\n<td><strong>Evaluating:<\/strong><br \/>\nPresent and defend opinions by making judgments about information, the validity of ideas, or quality of work based on a set of criteria.<\/td>\n<\/tr>\n<tr>\n<td><strong>Creating:<\/strong><br \/>\nCompile information together in a different way by combining elements in a new pattern or proposing alternative solutions<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><strong>Total<\/strong><\/td>\n<td>80<\/td>\n<td>100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>No. chapter-wise weightage. Care to be taken to cover all the chapters<\/li>\n<li>Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.<\/li>\n<\/ol>\n<p><strong>Choice(s):<\/strong><br \/>\nThere will be no overall choice in the question paper.<br \/>\nHowever, 33% of internal choices will be given in all the sections<\/p>\n<table border=\"1\" width=\"100%\" cellspacing=\"0\" cellpadding=\"3\">\n<tbody>\n<tr>\n<td><strong>INTERNAL ASSESSMENT<\/strong><\/td>\n<td><strong>20 MARKS<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Periodic Tests ( Best 2 out of 3 tests conducted)<\/td>\n<td>10 Marks<\/td>\n<\/tr>\n<tr>\n<td>Mathematics Activities<\/td>\n<td>10 Marks<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"12_Maths_Prescribed_Books\"><\/span>12 Maths Prescribed Books<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Mathematics Part I &#8211; Textbook for Class XII, NCERT Publication<\/li>\n<li>Mathematics Part II &#8211; Textbook for Class XII, NCERT Publication<\/li>\n<li>Mathematics Exemplar Problem for Class XII, Published by NCERT<\/li>\n<li>Mathematics Lab Manual class XII, published by NCERT<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Class 12 Maths question paper will have 1-2 Case Study Questions. These questions will carry 5 MCQs and students will attempt any four of them. As all of these are only MCQs, it is easy to score good marks with a little practice. Class 12 Maths Case Study Questions are available on the myCBSEguide App &#8230; <a title=\"Class 12 Maths Case Study Questions\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/\" aria-label=\"More on Class 12 Maths Case Study Questions\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,1432,7,6],"tags":[1895,1894],"class_list":["post-28737","post","type-post","status-publish","format-standard","hentry","category-exam-alert","category-mathematics-cbse-class-12","category-site-updates","category-tips-and-tricks","tag-case-study-questions","tag-cbse-sample-papers-2021"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Class 12 Maths Case Study Questions | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/case-study-questions-class-12-maths\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Class 12 Maths Case Study Questions | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Class 12 Maths question paper will have 1-2 Case Study Questions. These questions will carry 5 MCQs and students will attempt any four of them. As all of these are only MCQs, it is easy to score good marks with a little practice. Class 12 Maths Case Study Questions are available on the myCBSEguide App ... 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