{"id":15314,"date":"2022-01-30T13:42:08","date_gmt":"2022-01-30T08:12:08","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=15314"},"modified":"2024-10-08T11:56:40","modified_gmt":"2024-10-08T06:26:40","slug":"jee-main-mathematics-binomial-theorem-and-mathematical-induction-previous-year-papers-questions-with-solutions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/iit-jee\/study-materials\/maths\/jee-main-mathematics-binomial-theorem-and-mathematical-induction-previous-year-papers-questions-with-solutions\/","title":{"rendered":"JEE Main Mathematics Binomial Theorem and Mathematical Induction Previous Year Papers Questions With Solutions"},"content":{"rendered":"<h2><span style=\"color: #00bdeb;\"><strong>JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction<\/strong><\/span><\/h2>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579215546_f3b0bdd7cd_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-1\" width=\"485\" height=\"150\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237788389_2eacd73df3_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-27\" width=\"449\" height=\"96\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25605325155_b488ab3cf8_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-2\" width=\"486\" height=\"120\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486702772_ef4595a05a_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-28\" width=\"449\" height=\"134\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24978625193_449e4a7f4a_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-3\" width=\"485\" height=\"93\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237787879_ce3bcfbb55_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-29\" width=\"534\" height=\"319\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974846274_8a6608256c_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-4\" width=\"491\" height=\"148\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974837384_b5aafba31e_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-30\" width=\"414\" height=\"179\" \/><\/p>\n<div class=\"card\" style=\"text-align: center;\">\n<p><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/10\/class-12-jee-test-series.jpg.webp\" alt=\"class 12 jee test series\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/10\/class-12-jee-test-series.jpg.webp\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS\"><button><strong>All India Test Series for Class 12 JEE Main &amp; Advanced 2025<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost Your Preparation With Our All India Test Series for Class 12 JEE Main &amp; Advanced 2025<\/div>\n<\/div>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237795499_b1595706a4_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-5\" width=\"485\" height=\"168\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512637701_5f3a9a220e_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-31\" width=\"463\" height=\"180\" \/><\/p>\n<div class=\"card\" style=\"text-align: center;\">\n<p><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/10\/class-12-jee-test-series.jpg.webp\" alt=\"class 12 jee test series\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/10\/class-12-jee-test-series.jpg.webp\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS\"><button><strong>All India Test Series for Class 12 JEE Main &amp; Advanced 2025<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost Your Preparation With Our All India Test Series for Class 12 JEE Main &amp; Advanced 2025<\/div>\n<\/div>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512646581_ec870bea3c_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-6\" width=\"486\" height=\"113\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486701652_296c2aef7a_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-32\" width=\"461\" height=\"96\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24978624603_692bb998b0_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-7\" width=\"488\" height=\"92\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512637311_a05e2eb701_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-33\" width=\"569\" height=\"303\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25605324465_e70d2478fc_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-8\" width=\"485\" height=\"172\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974836364_9b8e714f12_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-34\" width=\"512\" height=\"185\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512646201_8c86560db6_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-9\" width=\"493\" height=\"141\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486700932_966789247d_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-35\" width=\"449\" height=\"180\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974845314_41db611641_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-10\" width=\"517\" height=\"129\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237785979_6ae529d5fb_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-36\" width=\"452\" height=\"134\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309726530_becd6cc5ae_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-11\" width=\"551\" height=\"255\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512636121_5d93e67c13_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-37\" width=\"442\" height=\"176\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579214196_8a456cf08e_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-12\" width=\"548\" height=\"237\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237785479_ba511e6000_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-38\" width=\"449\" height=\"66\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512645281_e294051232_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-13\" width=\"538\" height=\"277\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237785259_4fe3fdba84_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-39\" width=\"446\" height=\"467\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25605322675_3de990e1a4_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-14\" width=\"551\" height=\"285\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579204046_38119b6f2a_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-40\" width=\"501\" height=\"189\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309725260_a1c73cde3b_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-15\" width=\"480\" height=\"262\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512634961_6fda1954e5_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-41\" width=\"432\" height=\"57\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512634971_b0c2d387cc_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-42\" width=\"434\" height=\"171\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579212586_2bb8cabed4_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-16\" width=\"483\" height=\"152\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486699102_a2517e0229_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-43\" width=\"478\" height=\"309\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974842734_d6bd258cfa_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-17\" width=\"484\" height=\"185\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579203456_69b825e7e9_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-44\" width=\"397\" height=\"108\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237792239_d4dc6ed402_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-18\" width=\"482\" height=\"214\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579203416_ba081f0776_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-45\" width=\"505\" height=\"236\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237792099_9063d49475_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-19\" width=\"486\" height=\"423\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512634431_9264dd50ff_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-46\" width=\"416\" height=\"405\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512634291_1218367871_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-47\" width=\"394\" height=\"258\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974842124_87326dbf1d_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-20\" width=\"543\" height=\"401\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237783859_e665b1a43b_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-48\" width=\"376\" height=\"371\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25579209546_de6d29ea81_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-21\" width=\"567\" height=\"312\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309715320_be1d6ba5a4_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-49\" width=\"369\" height=\"124\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974839664_daf34d0d3c_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-22\" width=\"547\" height=\"105\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237783679_fc5e9fba17_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-50\" width=\"415\" height=\"270\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486704462_e5089597b3_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-23\" width=\"557\" height=\"442\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309715170_320e61673e_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-51\" width=\"432\" height=\"412\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309721140_621d056f73_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-24\" width=\"485\" height=\"108\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/24974833304_72736c1aee_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-52\" width=\"410\" height=\"204\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25237789059_544e4afc9e_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-25\" width=\"485\" height=\"410\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25512633561_a9e1957cf5_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-53\" width=\"454\" height=\"310\" \/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25309720620_1417864395_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-26\" width=\"490\" height=\"200\" \/><br \/>\n<strong>Ans.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/25486697722_c5e6981675_o.png\" alt=\"JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction-54\" width=\"426\" height=\"116\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>JEE Main Previous Year Papers Questions With Solutions Maths Binomial Theorem and Mathematical Induction Ans. Ans. Ans. Ans. 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