{"id":60240,"date":"2022-01-29T17:56:19","date_gmt":"2022-01-29T12:26:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60240"},"modified":"2022-06-16T16:17:24","modified_gmt":"2022-06-16T10:47:24","slug":"study-materials-ncert-exemplar-solutions-class-11-maths-chapter-14-mathematical-reasoning","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 14 &#8211; Mathematical Reasoning"},"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-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_14_Mathematical_Reasoning\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning\">NCERT Exemplar Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning<\/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-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#A_few_points_on_Chapter_14_Mathematical_Reasoning\" title=\"A few points on Chapter 14 Mathematical Reasoning\">A few points on Chapter 14 Mathematical Reasoning<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#What_is_the_importance_of_the_concept_of_Mathematical_Reasoning_in_Chapter_14_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"What is the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Exemplar Solutions for Class 11 Maths?\">What is the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Exemplar Solutions for Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#Where_can_I_get_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_14\" title=\"Where can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 14?\">Where can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 14?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, <\/span><span style=\"font-weight: 400;\">which includes thorough solutions for reference. All of the unsolved questions from the textbook&#8217;s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE mains and advanced<\/a><\/span><\/strong>.<\/span><\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-174018 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions.webp\" alt=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 14\" width=\"626\" height=\"418\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions.webp 626w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions-300x200.webp 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><span style=\"font-weight: 400;\"> <\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\">\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\/securepdfs\/2022\/01\/Class11_Maths_Chapter14DE-14.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=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F01%2FClass11_Maths_Chapter14DE-14.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-download-nonce=\"422e4d4999\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class11_Maths_Chapter14(DE-14)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The  number of questions given in the exercise of chapter 14 is given below:<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Exercise 14.1 Solutions<\/span><span style=\"font-weight: 400;\">:<\/span> <span style=\"font-weight: 400;\">2 Questions (Short Answers)<\/span><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 14.2 Solutions : 3 Questions(Short Answers)<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 14.3 Solutions: 4 Questions(Short Answers)<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 14.4 Solutions: 4 Questions(Short Answers)<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 14.5 Solutions: 5 Questions(Short Answers)<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Exercise Solutions: 7 Questions (Short Answers)<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_14_Mathematical_Reasoning\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>NCERT Exemplar Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The important topics and sub-topics explained in the NCERT textbook of Class 11 Maths Chapter 14 Mathematical Reasoning are given below.<\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.1 Introduction<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">This section uses pictures to teach the principles presented in the chapter on Mathematical Reasoning, such as the reasoning process, distinct types of reasoning, and the fundamentals of deductive reasoning.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>Mathematical Statement: <\/b><span style=\"font-weight: 400;\">For a right-angled triangle, the Pythagorean Theorem is applicable.<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>Reasoning: <\/b><span style=\"font-weight: 400;\">The Pythagorean Theorem will be applied to triangle ABC if it is a right triangle.<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.2 Statements<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, a mathematical statement and mathematically acceptable statement are explained with the help of examples.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>Statement<\/b><span style=\"font-weight: 400;\">: Men are more intelligent than women.<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>Mathematical Statement<\/b><span style=\"font-weight: 400;\">: The product of two negative numbers is positive.<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.3 New statements from old<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, the production of new statements from the old ones is explained. Following are the technique used in this process.<\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.3.1 Negation of a statement<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">This section covers the negation of a statement with a few solved examples.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Mumbai is a big city.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The negation of this statement would be :<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">[1] Mumbai is not a big city.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">[2] It is false that Mumbai is a big city.<\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.3.2 Compound Statements<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, the compound statements which is obtained by using the words such as \u201cand\u201d, \u201cor\u201d etc with the help of solved problems is explained.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>There is something wrong with the taste of the food or the vegetables being uncooked.<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The above sentence consists of two smaller statements which are as follows:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">There is something wrong with the taste of the food.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">There is something wrong with the vegetables being uncooked.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.4 Special Words \/ Phrases<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, connectives \u201cand\u201d, \u201cor\u201d etc are discussed.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>14.4.1 The word \u201cAnd\u201d<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">81 is divisible by 3, 9 and 27.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">There are 3 small statements in the above statement.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">81 is divisible by 3.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">81 is divisible by 9.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">81 is divisible by 27.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>14.4.2 The word \u201cOr\u201d<\/b><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>A student who has taken mathematics or statistics can apply for the M.Sc statistics program.<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The above statement means that students who have taken both mathematics and statistics can apply for the program, also the students who have taken one of the two subjects can apply for the program.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>14.4.3 Quantifiers<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, different types of quantifiers with the help of illustrations are discussed.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">There exists a square whose sides are equal.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">For all natural numbers <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">, 5<\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\"> is an odd number.<\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.5 Implications<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, different types of implications with the help of illustrations are discussed.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Connecting a person to a certain crime even if no evidence is found.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b>14.5.1 Contrapositive and converse<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, contrapositive and converse statements with the help of examples are discussed.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If you are not a citizen of India, then it will be difficult to obtain a passport in India. [contrapositive statement]<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If you have solved all the exercises in the textbook, then you will get excellent marks in the exam.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">If you get excellent marks in the exam, then you have solved all the exercises in the textbook. [converse]<\/span><\/p>\n<p><span style=\"font-size: 12pt; color: #0000ff;\"><b>14.6 Validating Statements<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, the process of validating the statements with specific cases along with solved problems are discussed.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">1<\/span><b>4.6.1 By contradiction<\/b><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, information about contradiction, method of verifying a contradiction, counterexample along illustrations are explained.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"A_few_points_on_Chapter_14_Mathematical_Reasoning\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>A few points on Chapter 14 Mathematical Reasoning<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A statement that is either true or untrue is mathematically acceptable.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If any statement is denoted by \u2018p\u2019 then the negation of p is denoted by \u223cp.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A compound statement is a statement that is made up of two or more smaller statements. Such that the smaller statements are the component statements of the compound statement.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">In the compound statement, the words \u201cAnd\u201d, \u201cOr\u201d, \u201cThere exists\u201d, and \u201cFor every\u201d are present.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The word \u201cIf \u201d, \u201conly if \u201d, \u201c if and only if \u201d are the implifications.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The statement \u223c q \u21d2 \u223cp is the contrapositive of a statement p \u21d2 q. And the statement q \u21d2 p is the converse of a statement p \u21d2 q. p \u21d2 q together with its converse gives p if and only if q.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">To examine the validity of statements following steps are required: <\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">(i) direct method <\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">(ii) contrapositive method <\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">(iii) method of contradiction <\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">(iv) using a counterexample.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The NCERT Exemplar Solutions for Class 11 Maths modules offer important mathematical ideas to help students succeed in their studies. The NCERT syllabus guarantees that the knowledge taught is appropriate for students to progress further in their chosen fields. The notion of Mathematical Reasoning must be understood by a student because it is the most important part of the question paper and carries the most marks. The notion must be properly understood before real-world applications and issues can be solved.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>Frequently Asked Questions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_the_importance_of_the_concept_of_Mathematical_Reasoning_in_Chapter_14_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>What is the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Exemplar Solutions for Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tOne of the important chapters in the syllabus of Class 11 is Mathematical Reasoning that will help students enhance their reasoning and logical thinking skills. Our experts' solutions assist students in preparing for numerous competitive exams such as JEE Main, JEE Advanced, and yearly exams. These solutions assist students in comprehending fundamental concepts and their applicability in everyday life.\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<h5><span class=\"ez-toc-section\" id=\"Where_can_I_get_the_NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_14\"><\/span>Where can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 14?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tOur experts create the solutions after completing a detailed investigation on each subject. The solutions are available for students to obtain and apply in order to get their doubts resolved quickly. In order to improve Class 11 students' exam preparation, each and every minute detail is given more weight.\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<h5><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\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 the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Exemplar Solutions for Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"One of the important chapters in the syllabus of Class 11 is Mathematical Reasoning that will help students enhance their reasoning and logical thinking skills. Our experts' solutions assist students in preparing for numerous competitive exams such as JEE Main, JEE Advanced, and yearly exams. These solutions assist students in comprehending fundamental concepts and their applicability in everyday life.\"\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\": \"Where can I get the NCERT Exemplar Solutions for Class 11 Maths Chapter 14?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Our experts create the solutions after completing a detailed investigation on each subject. The solutions are available for students to obtain and apply in order to get their doubts resolved quickly. In order to improve Class 11 students' exam preparation, each and every minute detail is given more weight.\"\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\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\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<p><strong><span style=\"color: #0000ff;\">Question: Write down the main topics of the NCERT Exemplar Solutions for Class 11 Maths Chapter 14 Mathe<\/span><span style=\"color: #0000ff;\">m<\/span><span style=\"color: #0000ff;\">atical <\/span><span style=\"color: #0000ff;\">Reasoning.<\/span><\/strong><\/p>\n<p><strong><span style=\"color: #ff0000;\">Answer:<\/span><\/strong> Following are the topics that are covered in the NCERT Maths Solutions of Class 11 Chapter 14 Mathematical Reasoning:<\/p>\n<ol>\n<li>Introduction<\/li>\n<li>Statements<\/li>\n<li>New statements from old<\/li>\n<li>Special words \/ Phrases<\/li>\n<li>Implications<\/li>\n<li>Validating Statements.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, which includes thorough solutions for reference. [&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 Exemplar Solutions for Class 11 Maths Chapter 14","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/"},"categories":[107,113,105],"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 Exemplar Solutions for Class 11 Maths Chapter 14 - Mathematical Reasoning - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, which includes thorough solutions for reference.\" \/>\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-exemplar-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 14 - 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