{"id":1253,"date":"2021-12-17T18:19:41","date_gmt":"2021-12-17T12:49:41","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1253"},"modified":"2024-01-17T16:11:14","modified_gmt":"2024-01-17T10:41:14","slug":"ncert-solutions-for-class-11-maths-chapter-14-mathematical-reasoning","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, which includes thorough solutions for reference. All of the questions from the textbook&#8217;s exercises are answered here. Students can use these answers to help them prepare for their exams. The <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 11<\/a><\/span><\/strong> provide useful solutions for improving conceptual knowledge.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT 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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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 data-ccp-props=\"{&quot;201341983&quot;:https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Maths_Class-11_Ch-14.pdf 0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">Get detailed NCERT Solutions for Class 11 Maths Chapter 14 of all exercises from below:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The  number of questions given in the exercise of chapter 14 is given below:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-exercise-14-1\/\" target=\"_blank\" rel=\"noopener\">Exercise 14.1 Solutions: 2 Questions (Short Answers) <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-exercise-14-2\/\" target=\"_blank\" rel=\"noopener\">Exercise 14.2 Solutions : 3 Questions(Short Answers) <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-exercise-14-3\/\" target=\"_blank\" rel=\"noopener\">Exercise 14.3 Solutions: 4 Questions(Short Answers) <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-exercise-14-4\/\" target=\"_blank\" rel=\"noopener\">Exercise 14.4 Solutions: 4 Questions(Short Answers) <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-exercise-14-5\/\" target=\"_blank\" rel=\"noopener\">Exercise 14.5 Solutions: 5 Questions(Short Answers) <\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning-miscellaneous-exercise\/\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise Solutions: 7 Questions (Short Answers) <\/a><\/span><\/li>\n<\/ul>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The important topics and sub-topics explained in the NCERT textbook of <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/\" target=\"_blank\" rel=\"noopener\"><strong>Class 11 Maths<\/strong><\/a><\/span> Chapter 14 Mathematical Reasoning are given below.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.1 Introduction<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Mathematical Statement: <\/span><\/b><span data-contrast=\"auto\">For a right-angled triangle, the Pythagorean Theorem is applicable.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Reasoning: <\/span><\/b><span data-contrast=\"auto\">The Pythagorean Theorem will be applied to triangle ABC if it is a right triangle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.2 Statements<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, a mathematical statement and mathematically acceptable statement are explained with the help of examples.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><b><span data-contrast=\"auto\">Statement<\/span><\/b><span data-contrast=\"auto\">: Men are more intelligent than women.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><b><span data-contrast=\"auto\">Mathematical Statement<\/span><\/b><span data-contrast=\"auto\">: The product of two negative numbers is positive.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.3 New statements from old<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, the production of new statements from the old ones is explained. Following are the technique used in this process.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.3.1 Negation of a statement<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This section covers the negation of a statement with a few solved examples.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Mumbai is a big city.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The negation of this statement would be :<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"auto\">[1] Mumbai is not a big city.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"auto\">[2] It is false that Mumbai is a big city.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.3.2 Compound Statements<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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 are explained.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">There is something wrong with the taste of the food or the vegetables being uncooked.<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The above sentence consists of two smaller statements which are as follows:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"auto\">There is something wrong with the taste of the food.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">There is something wrong with the vegetables being uncooked.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ol>\n<p><b><span data-contrast=\"auto\">14.4 Special Words \/ Phrases<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, connectives \u201cand\u201d, \u201cor\u201d etc are discussed.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.4.1 The word \u201cAnd\u201d<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">81 is divisible by 3, 9 and 27.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">There are 3 small statements in the above statement.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"auto\">81 is divisible by 3.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"auto\">81 is divisible by 9.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p style=\"padding-left: 40px;\"><span data-contrast=\"auto\">81 is divisible by 27.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.4.2 The word \u201cOr\u201d<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">A student who has taken mathematics or statistics can apply for the M.Sc statistics program.<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.4.3 Quantifiers<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, different types of quantifiers with the help of illustrations are discussed.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">There exists a square whose sides are equal.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">For all natural numbers <\/span><i><span data-contrast=\"auto\">n<\/span><\/i><span data-contrast=\"auto\">, 5<\/span><i><span data-contrast=\"auto\">n<\/span><\/i><span data-contrast=\"auto\"> is an odd number.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.5 Implications<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, different types of implications with the help of illustrations are discussed.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Connecting a person to a certain crime even if no evidence is found.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.5.1 Contrapositive and converse<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, contrapositive and converse statements with the help of examples are discussed.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">If you are not a citizen of India, then it will be difficult to obtain a passport in India. [contrapositive statement]<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">If you have solved all the exercises in the textbook, then you will get excellent marks in the exam.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">If you get excellent marks in the exam, then you have solved all the exercises in the textbook. [converse]<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">14.6 Validating Statements<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, the process of validating the statements with specific cases along with solved problems are discussed.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">1<\/span><b><span data-contrast=\"auto\">4.6.1 By contradiction<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In this section, information about contradiction, method of verifying a contradiction, counterexample along illustrations are explained.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">A few points on Chapter 14 Mathematical Reasoning<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li><span data-contrast=\"auto\">A statement that is either true or untrue is mathematically acceptable.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">If any statement is denoted by \u2018p\u2019 then the negation of p is denoted by \u223cp.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">In the compound statement, the words \u201cAnd\u201d, \u201cOr\u201d, \u201cThere exists\u201d, and \u201cFor every\u201d are present.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">The word \u201cIf \u201d, \u201conly if \u201d, \u201c if and only if \u201d are the implifications.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">To examine the validity of statements following steps are required: <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">(i) direct method <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(ii) contrapositive method <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(iii) method of contradiction <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(iv) using a counterexample.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The NCERT 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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 14<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ol>\n<li><span style=\"color: #ff0000;\">What is the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Solutions for Class 11 Maths? <\/span><\/li>\n<li><span style=\"color: #ff0000;\">Where can I get the NCERT Solutions for Class 11 Maths Chapter 14? <\/span><\/li>\n<li><span style=\"color: #ff0000;\" data-contrast=\"auto\">Write down the main topics of the NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning?<\/span><\/li>\n<\/ol>\n<p><strong>1. What is the importance of the concept of Mathematical Reasoning in Chapter 14 of NCERT Solutions for Class 11 Maths? <\/strong><\/p>\n<p><span data-contrast=\"auto\">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&#8217; 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.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><strong>2. Where can I get the NCERT Solutions for Class 11 Maths Chapter 14? <\/strong><\/p>\n<p><span data-contrast=\"auto\">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&#8217; exam preparation, each and every minute detail is given more weight.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><strong>3. Write down the main topics of the NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning?<\/strong><\/p>\n<p><span data-contrast=\"auto\">Following are the topics that are covered in the NCERT Maths Solutions of Class 11 Chapter 14 Mathematical Reasoning:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"auto\"> Introduction<\/span><\/li>\n<li><span data-contrast=\"auto\"> Statements<\/span><\/li>\n<li><span data-contrast=\"auto\"> New statements from old<\/span><\/li>\n<li><span data-contrast=\"auto\"> Special words \/ Phrases<\/span><\/li>\n<li><span data-contrast=\"auto\"> Implications<\/span><\/li>\n<li><span data-contrast=\"auto\"> Validating Statements.<\/span><\/li>\n<\/ol>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:200,&quot;335559740&quot;:276}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 14:Mathematical Reasoning, which includes thorough solutions for reference. All [&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 11 Maths Chapter 14","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Download Free PDF of NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning solved by Expert Teachers as per NCERT (CBSE) textbook guidelines. All Chapter 14: Mathematical Reasoning Exercises Questions with Solutions to help you to revise the complete Syllabus and boost your score in examinations.","custom_permalink":"study-materials\/ncert-solutions\/class-11\/maths\/chapter-14-mathematical-reasoning\/"},"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 Chapter 14: Mathematical Reasoning - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Download Free PDF of NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning solved by Expert Teachers as per NCERT (CBSE) textbook guidelines. 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