{"id":2055,"date":"2021-12-23T16:25:13","date_gmt":"2021-12-23T10:55:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2055"},"modified":"2024-01-11T18:36:43","modified_gmt":"2024-01-11T13:06:43","slug":"ncert-solutions-for-class-12-maths-chapter-11-three-dimensional-geometry-miscellaneous-exercise","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry-exercise-miscellaneous\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry miscellaneous exercise"},"content":{"rendered":"<p><span data-contrast=\"none\">All 10.4 exercise questions are answered in NCERT Solutions for Class 12 Maths Chapter 10 Vector algebra. The principals studied in Maths chapter 10 are the foundation for NCERT Solutions for Class 12 10.4 Exercise. This practice is crucial for both the CBSE Term I exam and competitive exams. 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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\/2021\/12\/Exercise-11.-Miscellaneous.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=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-11.-Miscellaneous.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-toolbar=\"top\" data-toolbar-fixed=\"on\">Exercise 11. Miscellaneous<br\/><\/a>\n<p><span style=\"color: #0000ff;\"><b>NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry miscellaneous exercise<\/b> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the NCERT solutions for miscellaneous exercise Class 12 Maths is the best option for the CBSE students when they are preparing for their exams. This chapter includes many exercises. One of them is the miscellaneous exercise whose solutions are available in pdf format on this page. You can also download these solutions online from our website or app.<\/span> <span data-contrast=\"none\">Infinite Learn subject matter experts have designed solutions from the exercise with the utmost care and by keeping in mind all the guidelines by CBSE. Class 12 Students who have prepared with all the exercises given in this chapter can easily score well in the exams. By using these solutions, students came to know about the pattern of questions that are asked in the exam from this chapter and also know about the marks weightage of the chapter. So they can prepare well.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Along with this exercise<\/span><span data-contrast=\"none\">, there are <\/span><span data-contrast=\"none\">many <\/span><span data-contrast=\"none\">exercises <\/span><span data-contrast=\"none\">included in<\/span><span data-contrast=\"none\"> this chapter that contain innumerable questions as well. All these <\/span><span data-contrast=\"none\">solutions<\/span> <span data-contrast=\"none\">are designed by<\/span><span data-contrast=\"none\"> subject <\/span><span data-contrast=\"none\">matter <\/span><span data-contrast=\"none\">experts as mentioned earlier. Hence all of these are <\/span><span data-contrast=\"none\">considered as<\/span><span data-contrast=\"none\"> superior quality and <\/span><span data-contrast=\"none\">students must refer to these solutions<\/span><span data-contrast=\"none\">. <\/span><span data-contrast=\"none\">To score well in the exam all these solutions must be practiced well and all other questions must be solved which are given next to it<\/span><span data-contrast=\"none\">.<\/span> <span data-contrast=\"none\">Do not delay any more. Download the <span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\">NCERT solutions for Class 12 Maths<\/a><\/span> Chapter 11 miscellaneous exercise from <\/span><span data-contrast=\"none\">Infinity Learn<\/span><span data-contrast=\"none\"> website now for better exam preparation. If you have the <\/span><span style=\"color: #3366ff;\">Infinity Learn<\/span><span data-contrast=\"none\"> App on your phone, you <\/span><span data-contrast=\"none\">should<\/span><span data-contrast=\"none\"> download the same through the app as well. <\/span><span data-contrast=\"none\">You can use these solutions online and offline as well<\/span><\/p>\n<p><span style=\"color: #0000ff;\"><b>FAQs (Frequently Asked Questions)<\/b> <\/span><\/p>\n<ol>\n<li><b><span data-contrast=\"none\"> What is the weightage of miscellaneous exercise of class 12 Maths?<\/span><\/b><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>The weightage of any exercise is decided randomly based on the chapter and the format. For board exams, the sums of any chapter can be randomly selected and hence, it is important to practice all the sums to be ready for any question that is set. Apart from this students are advised to check the chapter-wise weightage to get a clearer picture.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ol start=\"2\">\n<li><b><span data-contrast=\"none\"> Which is the most important question from this Exercise?<\/span><\/b><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>In reality, there is no such essential question! You can notice, the easier questions help you recall the concept, while the difficult ones enhances your problem-solving abilities and how you can use your concepts in the problems for practice. That\u2019s why all the questions are necessary. For miscellaneous exercise of Chapter 10 of Class 12 Maths, you must be attentive. Students must solve all the questions difficult or easy<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ol start=\"3\">\n<li><b><span data-contrast=\"none\"> What is the need for 3D Geometry<\/span><\/b><span data-contrast=\"none\">?<\/span><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>As the name suggests, 3D geometry is the study of three-dimensional forms in space. A z-coordinate may be determined by subtracting the x-coordinate from the value of the y-coordinate. If you want to discover the precise position of a point in three-dimensional space, you need three parameters. It is a vast field and also has multiple applications in the domain of mathematics<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>All 10.4 exercise questions are answered in NCERT Solutions for Class 12 Maths Chapter 10 Vector algebra. 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