{"id":55810,"date":"2020-10-01T09:11:00","date_gmt":"2020-10-01T03:41:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=55810"},"modified":"2020-10-05T15:25:07","modified_gmt":"2020-10-05T09:55:07","slug":"ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-55602\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-8.jpg\" alt=\"NCERT-Solutions-for-Class-11-Maths-Chapter-8\" width=\"785\" height=\"400\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-8.jpg 785w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-8-768x391.jpg 768w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-8-30x15.jpg 30w\" sizes=\"(max-width: 785px) 100vw, 785px\" \/><\/p>\n<p>NCERT solutions for class 11 maths chapter 8 binomial theorem are prepared precisely according to the CBSE guidelines. These solutions have step by step answers to all the exercise questions available in the textbook &amp; are easy to understand.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions For 11th Maths All Chapters<\/a><\/li>\n<\/ul>\n<p>The students can download NCERT solutions for class 11 maths chapter 8 PDF to study offline. Practicing these solutions assist the students to clear their doubts &amp; solve the problems faster. These solutions assist students while doing their homework.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d0357c62cdc\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69d0357c62cdc\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-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:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\/#ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\" title=\"NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem\">NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\/#what-will-you-learn-in-cbse-class-11-maths-chapter-8-binomial-theorem\" title=\"What will you learn in CBSE Class 11 Maths Chapter 8 Binomial Theorem?\">What will you learn in CBSE Class 11 Maths Chapter 8 Binomial Theorem?<\/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:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\/#theorems-and-formulas-used-in-chapter\" title=\"Theorems and formulas used in chapter\">Theorems and formulas used in chapter<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\"><\/span>NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT solutions for class 11 maths chapter 8 include the study of essential topics like Positive Integral Indices, Pascal\u2019s Triangle, Binomial theorem for any positive integer and some special cases. The students can get high marks in the exams with ease by practicing these solutions for all the questions available in the textbook.<\/p>\n<p>There is a total of three exercises including the miscellaneous exercise in this chapter that assists the students to understand the concepts related to the Binomial Theorem in detail.<\/p>\n<p>You can download CBSE Solutions for Class 11 Maths Chapter 8 Binomial Theorem from below.<\/p>\n<p style=\"margin-top: 24px; text-align: center;\"><a style=\"display: inline-block; width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; text-decoration-line: underline; color: #ffffff; background: #ff4500; box-shadow: rgba(0, 0, 0, 0.25) 0px 2px 6px 0px;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-11-Maths-Chapter-8.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Download NCERT Class 11 Maths Chapter 8 Solutions<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-learn-in-cbse-class-11-maths-chapter-8-binomial-theorem\"><\/span>What will you learn in CBSE Class 11 Maths Chapter 8 Binomial Theorem?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In previous classes, the students have learned how to find the squares and cubes of binomials like (a + b) and (a \u2013 b). Using them, they can evaluate the numerical values of numbers such as (98)2 = (100 \u2013 2)2 , (999)3 = (1000 \u2013 1)3, more.<\/p>\n<p>But for higher powers such as (98)5, (101)6, the calculations become difficult &amp; this difficulty was overcome by a theorem i.e Binomial Theorem that provides an easier way to expand (a + b)n, where n is an integer or a rational number. In class 11 maths chapter 8 solutions, they will study the Binomial Theorem for positive integral indices only. In elementary algebra, the binomial theorem defines the algebraic expansion of powers of a binomial.<\/p>\n<p>The students well versed in the history of Binomial Theorem, statement and proof of the binomial theorem for positive integral indices, Pascal\u2019s triangle, General and middle term in binomial expansion, &amp; simple applications of Binomial theorem.<\/p>\n<p>The major concepts of Maths covered in class 11 maths chapter 8 are:<\/p>\n<ul>\n<li>Introduction to Binomial Theorem<\/li>\n<li>Binomial Theorem for Positive Integral Indices (Pascal\u2019s Triangle)\n<ul>\n<li>Binomial theorem for any positive integer n,<\/li>\n<li>Some special cases<\/li>\n<\/ul>\n<\/li>\n<li>General and Middle Terms<\/li>\n<\/ul>\n<p>Exercises<\/p>\n<ul>\n<li>Class 11 maths chapter 8 exercise 8.1 solutions &#8211; 14 Questions<\/li>\n<li>Class 11 maths chapter 8 exercise 8.2 solutions &#8211; 12 Questions<\/li>\n<li>solutions for class 11 maths chapter 8 miscellaneous exercise &#8211; 10 Questions<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"theorems-and-formulas-used-in-chapter\"><\/span>Theorems and formulas used in chapter<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>The expansion of a binomial for any positive integral n is given by the Binomial Theorem i.e (a+b)n = nC0 an + nC1 an \u2013 1b + nC2 an \u2013 2b2 + \u2026+ nCn \u2013 1a.bn \u2013 1 + nCn bn<\/li>\n<\/ul>\n<ul>\n<li>The coefficients of the expansions are arranged in an array which is called Pascal\u2019s triangle.<\/li>\n<\/ul>\n<ul>\n<li>The general term of an expansion (a + b)n is Tr + 1 = nCr an \u2013 r . br<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p>We have covered the complete guide on\u00a0<a href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a>\u00a0NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem. Feel free to ask us any questions in the comment section below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT solutions for class 11 maths chapter 8 binomial theorem are prepared precisely according to the CBSE guidelines. These solutions have step by step answers to all the exercise questions available in the textbook &amp; are easy to understand. NCERT Solutions For 11th Maths All Chapters The students can download NCERT solutions for class 11 &#8230; <a title=\"NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-8-binomial-theorem\/\" aria-label=\"More on NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":55602,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934],"tags":[3428],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55810"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=55810"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55810\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/55602"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=55810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=55810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=55810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}