{"id":2236,"date":"2021-12-24T14:54:21","date_gmt":"2021-12-24T09:24:21","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2236"},"modified":"2024-07-03T10:48:04","modified_gmt":"2024-07-03T05:18:04","slug":"ncert-solutions-for-class-12-maths-chapter-8-application-of-integrals-miscellaneous-exercise","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise"},"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\" 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id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#NCERT_Solutions_for_Class_12_Maths_Chapter_8_Miscellaneous_Exercise_-_CBSE_Free_PDF_Download\" title=\"NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise \u2013 CBSE Free PDF Download\">NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise \u2013 CBSE Free PDF Download<\/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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#NCERT_Solutions_for_Class_12_Maths_Chapter_8_Applications_of_Integrals_Miscellaneous_Exercise\" title=\"NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise\">NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise<\/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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#Frequently_Asked_Questions_FAQs\" title=\"Frequently Asked Questions (FAQs)\">Frequently Asked Questions (FAQs)<\/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:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#In_Class_12_Maths_Chapter_8_Miscellaneous_Exercise_how_many_important_examples_are_there\" title=\"In Class 12 Maths Chapter 8 Miscellaneous Exercise, how many important examples are there?\">In Class 12 Maths Chapter 8 Miscellaneous Exercise, how many important examples are there?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#How_will_I_be_able_to_comprehend_the_chapters_in_Class_12_Maths\" title=\"How will I be able to comprehend the chapters in Class 12 Maths?\">How will I be able to comprehend the chapters in Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/#What_is_the_underlying_concept_of_Chapter_8_Application_of_Integrals\" title=\"What is the underlying concept of Chapter 8 Application of Integrals?\">What is the underlying concept of Chapter 8 Application of Integrals?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"auto\">NCERT Solutions for Class 12 Maths Chapter 8, Application of Integrals, provides answers to all Miscellaneous Exercise questions. This topic is crucial for both CBSE exams and competitive exams, so students are encouraged to practice these questions to enhance their skills. Download the NCERT Maths Solutions for Class 12 to score well.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_8_Miscellaneous_Exercise_-_CBSE_Free_PDF_Download\"><\/span>NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise \u2013 CBSE Free PDF Download<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download the free PDF of NCERT Solutions for Class 12 Maths Chapter 8 application of integrals class 12 solutions pdf, prepared by expert Mathematics teachers at Infinity Learn, following CBSE (NCERT) guidelines. Access our miscellaneous exercise on chapter 8 class 12 Questions with Solutions to help you review the complete syllabus and score higher in your exams.<\/p>\n\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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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-8.-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-8.-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 8. Miscellaneous<br\/><\/a>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_8_Applications_of_Integrals_Miscellaneous_Exercise\"><\/span>NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>When it comes to exam preparation, the NCERT solutions for the Miscellaneous Exercise in Class 12 Maths are considered the best option for CBSE students. This chapter contains several exercises, and we have provided the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/\"><strong>application of integrals class 12 NCERT solutions<\/strong><\/a> Exercise in PDF format on this page. You can either download the solutions or study them directly from our website or app.<\/p>\n<p>Infinity Learn&#8217;s in-house subject matter experts have carefully and precisely addressed the exercise&#8217;s problems and questions, adhering to all CBSE guidelines. Any Class 12 student who understands the concepts from the Maths textbook and is familiar with all the exercise problems can easily achieve the highest possible grade on the final exam.<\/p>\n<p>These <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT solutions<\/strong><\/a> help students grasp the pattern of questions that may appear in the exam and understand the chapter&#8217;s marks weightage, allowing them to prepare adequately for the final examination.<\/p>\n<p>In addition to the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\"><strong>NCERT solutions for Class 12 Maths<\/strong><\/a> Chapter 8 Miscellaneous Exercise, the chapter contains numerous other exercises with many questions. As mentioned, our in-house subject experts have solved all these questions, ensuring high-quality solutions that anyone can use for exam preparation.<\/p>\n<p>It is crucial to understand all the topics in the textbooks and solve the provided exercise questions to achieve the highest grade in the class. Don&#8217;t wait any longer. For better exam preparation, get the NCERT solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise from the Infinity Learn website today. If you have the Infinity Learn app on your phone, you can also download it from there. The great thing about these solutions is that they are available both online and offline.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQs\"><\/span>Frequently Asked Questions (FAQs)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"In_Class_12_Maths_Chapter_8_Miscellaneous_Exercise_how_many_important_examples_are_there\"><\/span>In Class 12 Maths Chapter 8 Miscellaneous Exercise, how many important examples are there?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn Class 12 Maths Chapter 8, the Miscellaneous Examples section has five examples (from Example 11 to Example 15). These miscellaneous examples can be used to complete the NCERT textbook's Class 12 Maths Chapter 8 Miscellaneous Exercise. For fully solved exercise questions, including those in Chapter 8's miscellaneous exercise. Start practicing with the NCERT Solutions Class 12 Maths Chapter 8 PDF from Infinity Learn today.\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<h3><span class=\"ez-toc-section\" id=\"How_will_I_be_able_to_comprehend_the_chapters_in_Class_12_Maths\"><\/span>How will I be able to comprehend the chapters in Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNCERT Class 12 Maths can seem scary at first, but if you plan ahead of time, you can easily conquer your phobia of the subject. NCERT Solutions Class 12 Maths on Infinity Learn is the greatest way to comprehend all of the chapters in Class 12 Maths. All of Infinity Learn's Class 12 Maths solutions include detailed explanations for each topic and subtopic, as well as exercise questions.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_underlying_concept_of_Chapter_8_Application_of_Integrals\"><\/span>What is the underlying concept of Chapter 8 Application of Integrals?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe underlying concept of NCERT Class 12 Maths Chapter 8 Application of Integrals deals with the usage of geometric formulae for calculating the area of different geometric shapes and the area between two curves, area between curve and line, area between arbitrary positions, and trigonometric identities integrals. To get solutions to all exercises, you must refer to NCERT Class 12 Maths Chapter 8 on Infinity Learn.\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\": \"In Class 12 Maths Chapter 8 Miscellaneous Exercise, how many important examples are there?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In Class 12 Maths Chapter 8, the Miscellaneous Examples section has five examples (from Example 11 to Example 15). These miscellaneous examples can be used to complete the NCERT textbook's Class 12 Maths Chapter 8 Miscellaneous Exercise. For fully solved exercise questions, including those in Chapter 8's miscellaneous exercise. Start practicing with the NCERT Solutions Class 12 Maths Chapter 8 PDF from Infinity Learn today.\"\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\": \"How will I be able to comprehend the chapters in Class 12 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"NCERT Class 12 Maths can seem scary at first, but if you plan ahead of time, you can easily conquer your phobia of the subject. NCERT Solutions Class 12 Maths on Infinity Learn is the greatest way to comprehend all of the chapters in Class 12 Maths. All of Infinity Learn's Class 12 Maths solutions include detailed explanations for each topic and subtopic, as well as exercise questions.\"\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 is the underlying concept of Chapter 8 Application of Integrals?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The underlying concept of NCERT Class 12 Maths Chapter 8 Application of Integrals deals with the usage of geometric formulae for calculating the area of different geometric shapes and the area between two curves, area between curve and line, area between arbitrary positions, and trigonometric identities integrals. To get solutions to all exercises, you must refer to NCERT Class 12 Maths Chapter 8 on Infinity Learn.\"\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\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 8, Application of Integrals, provides answers to all Miscellaneous Exercise questions. This topic [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 12 Maths","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Ch- 8 Miscellaneous Exercise","_yoast_wpseo_metadesc":"Get NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise from Infinity Learn. Expert-made, step-by-step, CBSE-syllabus aligned solutions.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Ch- 8 Miscellaneous Exercise<\/title>\n<meta name=\"description\" content=\"Get NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise from Infinity Learn. 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