{"id":9573,"date":"2018-02-13T10:25:52","date_gmt":"2018-02-13T04:55:52","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=9573"},"modified":"2018-03-17T10:00:22","modified_gmt":"2018-03-17T04:30:22","slug":"mathematical-reasoning-class-11-notes-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/","title":{"rendered":"Mathematical Reasoning class 11 Notes Mathematics"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/#CBSE_Guide_Mathematical_Reasoning_class_11_Notes\" >CBSE Guide Mathematical Reasoning class 11 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/#Mathematical_Reasoning_class_11_Notes_Mathematics\" >Mathematical Reasoning class 11 Notes Mathematics<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/#Download_Revision_Notes_as_PDF\" >Download Revision Notes as PDF<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/#Mathematical_Reasoning_class_11_Notes\" >Mathematical Reasoning class 11 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/#CBSE_Class-11_Revision_Notes_and_Key_Points\" >CBSE Class-11 Revision Notes and Key Points<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>CBSE Mathematics Chapter 14 Mathematical Reasoning class 11 Notes Mathematics in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Mathematical Reasoning class 11 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 11 Mathematics notes on Chapter 14 Mathematical Reasoning class 11 Notes Mathematics are also available for download in CBSE Guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Guide_Mathematical_Reasoning_class_11_Notes\"><\/span>CBSE Guide Mathematical Reasoning class 11 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE guide notes are the comprehensive notes which covers the latest syllabus of CBSE and NCERT. It includes all the topics given in NCERT class 11 Mathematics text book. Users can download CBSE guide quick revision notes from myCBSEguide mobile app and my CBSE guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mathematical_Reasoning_class_11_Notes_Mathematics\"><\/span>Mathematical Reasoning class 11 Notes Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download CBSE class 11th revision notes for Chapter 14 Mathematical Reasoning class 11 Notes Mathematics in PDF format for free. Download revision notes for Mathematical Reasoning class 11 Notes Mathematics and score high in exams. These are the Mathematical Reasoning class 11 Notes Mathematics prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.<\/p>\n<h1 style=\"text-align: center\"><span class=\"ez-toc-section\" id=\"Download_Revision_Notes_as_PDF\"><\/span><a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-revision-notes\/7\/\">Download Revision Notes as PDF<\/a><span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p style=\"text-align: center\"><strong>CBSE Class 11 Mathematics<br \/>\nRevision Notes<br \/>\nChapter-14<br \/>\nMathematical Reasoning class 11 Notes Mathematics<\/strong><\/p>\n<p><strong>1. Statements: <\/strong>A statement is a sentence which either true or false, but not both simultaneously.<\/p>\n<p>For example: &#8220;A triangle has a four sides.&#8221;, &#8220;New Delhi is the capital of India.&#8221; are the statements.<\/p>\n<p><strong>2. Negaiton of a statement<\/strong>: Negation of a statement p: If p denote a statement, then the negation of p is denoted by \u223cp.<\/p>\n<p><strong>3. Compound statement<\/strong>: A statement is a compound statement if it is made up of two or more smaller statements. The smaller statements are called component statements of the compound statement.<\/p>\n<p>The Compound statements are made by:<br \/>\n(i) <strong>Connectives<\/strong>: &#8220;AND&#8221;, &#8220;OR&#8221;<br \/>\n(ii) <strong>Quantifiers<\/strong>: &#8220;There exists&#8221;, &#8220;For every&#8221;<br \/>\n(iii) <strong>Implications:<\/strong> The meaning of implications \u201cIf \u201d, \u201conly if \u201d, \u201c if and only if \u201d.<\/p>\n<p>(a) &#8220;p <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Rightarrow\" \/><\/span><\/span>\u00a0q&#8221; : p is sufficient condition for q or p implies q.<br \/>\nq is necessary condition for p.<br \/>\nThe converse of a statement p \u21d2 q is the statement q \u21d2 p.<br \/>\np\u21d2 q together with its converse, gives p if and only if q.<\/p>\n<p>(b) &#8220;p <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi? \\Leftrightarrow\" \/><\/span><\/span>\u00a0q&#8221;<br \/>\nA sentence with if p, then q can be written in the following ways.<\/p>\n<ul>\n<li>p implies q (denoted by p \u21d2 q)<\/li>\n<li>p is a sufficient condition for q<\/li>\n<li>q is a necessary condition for p<\/li>\n<li>p only if q<\/li>\n<li>\u223cq implies \u223cp<\/li>\n<\/ul>\n<p><strong>4. Contrapositive<\/strong>: The contrapositive of a statement p \u21d2 q is the statement \u223c q \u21d2\u223cp .<\/p>\n<p><strong>New statements, Special words\/phrases<\/strong><\/p>\n<p><strong>5. Contradiction : <\/strong>If to check whether p is true we assume negation p is true.<\/p>\n<p><strong>6. Validating statements<\/strong>: Checking of a statement whether it is true or false. The validity of a statement depends upon which of the special.<\/p>\n<ul>\n<li>The following methods are used to check the validity of statements:<\/li>\n<\/ul>\n<p>(i) direct method<\/p>\n<p>(ii) contrapositive method<\/p>\n<p>(iii) method of contradiction<\/p>\n<p>(iv) using a counter example.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mathematical_Reasoning_class_11_Notes\"><\/span>Mathematical Reasoning class 11 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>CBSE Revision notes (PDF Download) Free<\/li>\n<li>CBSE Revision notes for Class 11 Mathematics PDF<\/li>\n<li>CBSE Revision notes Class 11 Mathematics \u2013 CBSE<\/li>\n<li>CBSE Revisions notes and Key Points Class 11 Mathematics<\/li>\n<li>Summary of the NCERT books all chapters in Mathematics class 11<\/li>\n<li>Short notes for CBSE class 11th Mathematics<\/li>\n<li>Key notes and chapter summary of Mathematics class 11<\/li>\n<li>Quick revision notes for CBSE exams<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Class-11_Revision_Notes_and_Key_Points\"><\/span><strong>CBSE Class-11 Revision Notes and Key Points<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Mathematical Reasoning class 11 Notes Mathematics. CBSE quick revision note for class-11 Mathematics, Physics, Chemistry, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Physics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-chemistry\/1356\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Chemistry<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-biology\/1388\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Biology<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-accountancy\/1411\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Accountancy<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-economics\/1423\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Economics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-business-studies\/1740\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Business Studies<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-computer-science\/1852\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Computer Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-informatics-practices\/1874\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Informatics Practices<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-geography\/1864\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Geography<\/a><\/li>\n<\/ul>\n<p>To download Mathematical Reasoning class 11 Notes, sample paper for class 11 Chemistry, Physics, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<ul>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/sets-class-11-notes-mathematics\/\">Sets class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/relations-functions-class-11-notes-mathematics\/\">Relations And Functions class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/trigonometric-functions-class-11-notes-mathematics\/\">Trigonometric Functions class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/principles-mathematical-induction-class-11-notes-mathematics\/\">Principles Of Mathematical Induction class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/complex-numbers-and-quadratic-equations-class-11-notes-mathematics\/\">Complex Numbers And Quadratic Equations class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/linear-inequalities-class-11-notes-mathematics\/\">Linear Inequalities class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/permutations-combinations-class-11-notes-mathematics\/\">Permutations And Combinations class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/binomial-theorem-class-11-notes-mathematics\/\">Binomial Theorem class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/sequences-and-series-class-11-notes-mathematics\/\">Sequences And Series class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/straight-lines-class-11-notes-mathematics\/\">Straight Lines class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/conic-sections-class-11-notes-mathematics\/\">Conic Sections class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/limits-and-derivatives-class-11-notes-mathematics\/\">Limits And Derivatives class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/\">Mathematical Reasoning class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/statistics-class-11-notes-mathematics\/\">Statistics class 11 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/probability-class-11-notes-mathematics\/\">Probability class 11 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Mathematics Chapter 14 Mathematical Reasoning class 11 Notes Mathematics in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Mathematical Reasoning class 11 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 11 Mathematics notes on &#8230; <a title=\"Mathematical Reasoning class 11 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/mathematical-reasoning-class-11-notes-mathematics\/\" aria-label=\"More on Mathematical Reasoning class 11 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":9298,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,456],"tags":[457,150,658,461,426,240],"class_list":["post-9573","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-11","category-revision-notes","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-mathematical-reasoning","tag-mathematics-notes","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematical Reasoning class 11 Notes Mathematics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Mathematical Reasoning class 11 Notes Mathematics Chapter 14 in PDF format for free download. 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