{"id":3196,"date":"2021-12-29T12:38:43","date_gmt":"2021-12-29T07:08:43","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=3196"},"modified":"2024-07-03T16:12:48","modified_gmt":"2024-07-03T10:42:48","slug":"ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem-miscellaneous-exercise","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Miscellaneous Exercise\u00a0"},"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'><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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#NCERT_Solutions_for_Class_11_Maths_Chapter_8_Miscellaneous_Exercise\" title=\"NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise\">NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise<\/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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#NCERT_Solutions_for_Class_11_Maths_Chapter_8_Binomial_Theorem_Miscellaneous_Exercise\" title=\"NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Miscellaneous Exercise\">NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem 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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#What_Is_Arithmetic_Progression_and_How_Does_It_Work\" title=\"What Is Arithmetic Progression and How Does It Work?\">What Is Arithmetic Progression and How Does It Work?<\/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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#What_is_the_total_number_of_sections_in_Class_11_Maths_Chapter_9_Solutions\" title=\"What is the total number of sections in Class 11 Maths Chapter 9 Solutions?\">What is the total number of sections in Class 11 Maths Chapter 9 Solutions?<\/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-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/#How_can_I_earn_100_in_the_Sequence_and_Series_Chapters\" title=\"How can I earn 100% in the Sequence and Series Chapters?\">How can I earn 100% in the Sequence and Series Chapters?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_11_Maths_Chapter_8_Miscellaneous_Exercise\"><\/span>NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions are designed to help students understand the steps to solve mathematical problems in the textbook. The Miscellaneous Exercise of <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/\"><strong>NCERT Solutions for Class 11 Maths<\/strong><\/a> Chapter 8 \u2013 Binomial Theorem covers:<\/p>\n<ul>\n<li>Binomial Theorem for Positive Integral Indices<\/li>\n<li>General and Middle Terms<\/li>\n<\/ul>\n<p>These solutions include frequent, focused, and engaging challenges and activities that strengthen Maths concepts. Each exercise question in NCERT Class 11 Maths Solutions is carefully solved to aid student comprehension and exam preparation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_11_Maths_Chapter_8_Binomial_Theorem_Miscellaneous_Exercise\"><\/span>NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Miscellaneous Exercise<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Using the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT solutions<\/strong><\/a> for the miscellaneous exercise in Class 11 Maths is an excellent option for CBSE students preparing for their exams. This chapter includes several exercises, with solutions available in PDF format on this page. You can also download these solutions from our website or app. Infinity Learn subject matter experts have meticulously designed these solutions, adhering to all CBSE guidelines.<\/p>\n<p>Class 11 students who thoroughly prepare all exercises in this chapter can easily score well in their exams. By using these solutions, students understand the pattern of questions asked in the exam and the marks weightage for this chapter, enabling them to prepare effectively.<\/p>\n<p>In addition to this exercise, the chapter includes numerous other exercises with countless questions. All solutions are crafted by subject matter experts, ensuring high quality and reliability. Students should refer to these solutions to score well in their exams, practicing diligently and solving all related questions.<\/p>\n<p>Download the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-8-binomial-theorem\/\"><strong>NCERT solutions for Class 11 Maths Chapter 8<\/strong> <\/a>miscellaneous exercise from the Infinity Learn website now for better exam preparation. If you have the Infinity Learn app on your phone, you can download the solutions through the app as well. These solutions are accessible 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=\"What_Is_Arithmetic_Progression_and_How_Does_It_Work\"><\/span>What Is Arithmetic Progression and How Does It Work?<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 term progression refers to a series in which the terms follow a defined pattern. There are two successive terms in Arithmetic progression, and their difference is constant. Students should read through the Class 11 Maths 9th Chapter, especially this section, to better understand the topic. If one can look at the fundamental parts of it, it becomes a lot easier. Even though the textbook contains ample information on the subject, study materials can help you better comprehend the functionalities.\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_total_number_of_sections_in_Class_11_Maths_Chapter_9_Solutions\"><\/span>What is the total number of sections in Class 11 Maths Chapter 9 Solutions?<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\tApart from the introduction portion, which introduces the entire chapter, Chapter 9 of Class 11 Maths is divided into six major components. It also goes through the ideas of Sequence, Series, Arithmetic, and Geometric Progression, as well as the correlations between them and the sum of n terms of special series.\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_can_I_earn_100_in_the_Sequence_and_Series_Chapters\"><\/span>How can I earn 100% in the Sequence and Series Chapters?<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\tBecause it contains many challenging portions, the Sequence and Series chapter necessitates a lot of practice to eliminate conceptual errors. The fundamental principles can be challenging at first, but with the correct kind of instruction and advanced strategies, getting a solid grade is not tough.  If you want to get full points on all of the problems in this chapter, you should also practice other types of tough questions. The NCERT Solutions for Class 11 Maths Sequence and Series include a variety of quick-solving approaches that help you anticipate the types of questions you'll encounter in exams.\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\": \"What Is Arithmetic Progression and How Does It Work?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The term progression refers to a series in which the terms follow a defined pattern. There are two successive terms in Arithmetic progression, and their difference is constant. Students should read through the Class 11 Maths 9th Chapter, especially this section, to better understand the topic. If one can look at the fundamental parts of it, it becomes a lot easier. Even though the textbook contains ample information on the subject, study materials can help you better comprehend the functionalities.\"\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 total number of sections in Class 11 Maths Chapter 9 Solutions?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Apart from the introduction portion, which introduces the entire chapter, Chapter 9 of Class 11 Maths is divided into six major components. It also goes through the ideas of Sequence, Series, Arithmetic, and Geometric Progression, as well as the correlations between them and the sum of n terms of special series.\"\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 can I earn 100% in the Sequence and Series Chapters?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Because it contains many challenging portions, the Sequence and Series chapter necessitates a lot of practice to eliminate conceptual errors. The fundamental principles can be challenging at first, but with the correct kind of instruction and advanced strategies, getting a solid grade is not tough.  If you want to get full points on all of the problems in this chapter, you should also practice other types of tough questions. The NCERT Solutions for Class 11 Maths Sequence and Series include a variety of quick-solving approaches that help you anticipate the types of questions you'll encounter in exams.\"\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 11 Maths Chapter 8 Miscellaneous Exercise NCERT Solutions are designed to help students understand the steps [&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":"miscellaneous exercise chapter 8 class 11 maths","_yoast_wpseo_title":"NCERT Solutions for Class 11 Maths Ch- 8 Miscellaneous Exercise\u00a0","_yoast_wpseo_metadesc":"NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise provide detailed, expert-crafted answers, adhering to CBSE guidelines, aiding in effective exam preparation and high scores.","custom_permalink":"study-materials\/ncert-solutions\/class-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/"},"categories":[19,25],"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 11 Maths Ch- 8 Miscellaneous Exercise\u00a0<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise provide detailed, expert-crafted answers, adhering to CBSE guidelines, aiding in effective exam preparation and high scores.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-8-binomial-theorem-miscellaneous-exercise\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta 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