{"id":68106,"date":"2021-08-31T11:15:00","date_gmt":"2021-08-31T05:45:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=68106"},"modified":"2021-08-31T15:02:56","modified_gmt":"2021-08-31T09:32:56","slug":"rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/","title":{"rendered":"RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-121604\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.1.jpg\" alt=\"RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-31-Exercise-31.1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1:&nbsp;<\/strong>We will learn some basics of mathematical reasoning in this exercise. In the context of mathematics, reasoning is a process. Students can use <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-rd-sharma-solutions\/\"><strong>RD Sharma Class 11 Solutions<\/strong><\/a> to help them get good grades in their board exams. The pdf of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-mathematical-reasoning\/\"><strong>RD Sharma Solutions Class 11 Maths Chapter 31<\/strong><\/a> Exercise 31.1 is available in the links below, which may be readily downloaded and saved for future reference.<\/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-69d319006764b\" 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\" 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/#download-rd-sharma-class-11-solutions-chapter-31-exercise-311-free-pdf\" title=\"Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 Free PDF\">Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 Free PDF<\/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:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/#access-answers-to-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1- Important Question with Answers\">Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/#where-can-i-download-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311-free-pdf\" title=\"Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1 free PDF?\">Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1 free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/#what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311\" title=\"What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1?\">What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-11-solutions-chapter-31-exercise-311-free-pdf\"><\/span>Download RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-31-Ex-31.1-1.pdf\">RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-31-Ex-31.1-1.pdf\", \"#example1\");<\/script><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1.<\/strong>&nbsp;<strong>Find out which of the following sentences are statements and which are not. Justify your answer.<br>(i) Listen to me, Ravi!<\/strong><\/p>\n<p><strong>(ii) Every set is a finite set.<\/strong><\/p>\n<p><strong>(iii) Two non-empty sets have always a non-empty intersection.<\/strong><\/p>\n<p><strong>(iv) The cat&#8217;s pussy is black.<\/strong><\/p>\n<p><strong>(v) Are all circles round?<\/strong><\/p>\n<p><strong>(vi) All triangles have three sides.<\/strong><\/p>\n<p><strong>(vii) Every rhombus is a square.<\/strong><\/p>\n<p><strong>(viii) x<sup>2<\/sup>&nbsp;+ 5|x| + 6 = 0 has no real roots.<\/strong><\/p>\n<p><strong>(ix) This sentence is a statement.<\/strong><\/p>\n<p><strong>(x) Is the earth round?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)&nbsp;<\/strong>Listen to me, Ravi!<\/p>\n<p>The sentence \u201cListen to me, Ravi! \u201cIs an exclamatory sentence.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p><strong>(ii)&nbsp;<\/strong>Every set is a finite set.<\/p>\n<p>This sentence is always false because there are sets that are not finite.<\/p>\n<p>\u2234 It is a statement.<\/p>\n<p><strong>(iii)&nbsp;<\/strong>Two non-empty sets have always a non-empty intersection.<\/p>\n<p>This sentence is always false because there are non-empty sets whose intersection is empty.<\/p>\n<p>\u2234 It is a statement.<\/p>\n<p><strong>(iv)&nbsp;<\/strong>The cat&#8217;s pussy is black.<\/p>\n<p>Some cats are black, and not black, So, the given sentence may or may not be true.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p><strong>(v)&nbsp;<\/strong>Are all circles round?<\/p>\n<p>The given sentence is interrogative.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p><strong>(vi)&nbsp;<\/strong>All triangles have three sides.<\/p>\n<p>The given sentence is a true declarative sentence.<\/p>\n<p>\u2234 It is a true statement.<\/p>\n<p><strong>(vii)&nbsp;<\/strong>Every rhombus is a square.<\/p>\n<p>This sentence is always false because Rhombuses are not square.<\/p>\n<p>\u2234 It is a statement.<\/p>\n<p><strong>(viii)&nbsp;<\/strong>x<sup>2<\/sup>&nbsp;+ 5|x| + 6 = 0 has no real roots.<\/p>\n<p>Firstly, let us solve the given expression.<\/p>\n<p>If x&gt;0,<\/p>\n<p>x<sup>2<\/sup>+5|x|+6=0<\/p>\n<p>x<sup>2<\/sup>+5x+6=0<\/p>\n<p>x = -3 or x = -2<\/p>\n<p>Since x&gt;0, the equation has no roots.<\/p>\n<p>If x&lt;0,<\/p>\n<p>x<sup>2<\/sup>+5|x|+6=0<\/p>\n<p>x<sup>2<\/sup>&nbsp;\u2013 5x+6=0<\/p>\n<p>Since x&lt;0, the equation has no real roots.<\/p>\n<p>\u2234 It is a statement.<\/p>\n<p><strong>(ix)&nbsp;<\/strong>This sentences is a statement.<\/p>\n<p>The statement is not indicating the correct value, hence we can say that value contradicts the sense of the sentence.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p><strong>(x)&nbsp;<\/strong>Is the earth round?<\/p>\n<p>The given sentence is interrogative.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p><strong>Mathematical Reasoning Ex 31.1 Q1 (xi)<\/strong><br><img src=\"https:\/\/farm9.staticflickr.com\/8651\/16152481111_bf522538a0_o.png\" alt=\"RD-Sharma-class-11 Solutions-Chapter-31-Mathematical-Reasoning-Ex-31.1-Q-1-x\" width=\"550\" height=\"97\"><br><strong>Mathematical Reasoning Ex 31.1 Q1 (xii)<\/strong><br><img src=\"https:\/\/farm8.staticflickr.com\/7473\/15968319579_93e058bb0e_o.png\" br alt=\"\"> Solutions-Mathematical-Reasoning-Ex-31.1-Q-1-xi&#8221; width=&#8221;582&#8243; height=&#8221;102&#8243;><br><strong>Mathematical Reasoning Ex 31.1 Q1 (xiii)<\/strong><br><img src=\"https:\/\/farm8.staticflickr.com\/7489\/16153631572_359010b9d0_o.png\" alt=\"RD-Sharma-class-11 Solutions-Chapter-31-Mathematical-Reasoning-Ex-31.1-Q-1-xii\" width=\"565\" height=\"79\"><br><strong>Mathematical Reasoning Ex 31.1 Q1 (xiv)<\/strong><br><img src=\"https:\/\/farm9.staticflickr.com\/8676\/16153631502_b8bc840767_o.png\" alt=\"RD-Sharma-class-11 Solutions-Chapter-31-Mathematical-Reasoning-Ex-31.1-Q-1-xiii\" width=\"597\" height=\"106\"><br><strong>Mathematical Reasoning Ex 31.1 Q1 (xv)<\/strong><br><img src=\"https:\/\/farm8.staticflickr.com\/7490\/16153631462_78ccb087cd_o.png\" alt=\"RD-Sharma-class-11 Solutions-Chapter-31-Mathematical-Reasoning-Ex-31.1-Q-1-xiv\" width=\"558\" height=\"81\"><br><strong>Mathematical Reasoning Ex 31.1 Q1 (xvi)<\/strong><br><img src=\"https:\/\/farm8.staticflickr.com\/7476\/16128598466_8bc3b735b2_o.png\" alt=\"RD-Sharma-class-11 Solutions-Chapter-31-Mathematical-Reasoning-Ex-31.1-Q-1-xv\" width=\"579\" height=\"89\"><\/p>\n<p><strong>2. Give three examples of sentences that are not statements. Give reasons for the answers.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>a) \u201cWe won the match!\u201d<\/p>\n<p>The sentence \u201cWe won the match!\u201d Is an exclamatory sentence.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p>b) Can u get me a cup of tea?<\/p>\n<p>This sentence is interrogative.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p>c) Please get me the book which is kept on the table.<\/p>\n<p>This sentence is expressed either as a request or as a command, hence it is an imperative sentence.<\/p>\n<p>\u2234 It is not a statement.<\/p>\n<p>We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>&nbsp;Class 11, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-11-solutions-chapter-31-exercise-311\"><\/span>FAQs on RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630397558881\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311\"><\/span>How many questions are there in RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 2 questions in RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630397638732\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311-free-pdf\"><\/span>Where can I download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630397639678\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-31-exercise-311\"><\/span>What are the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The following are some of the benefits of using Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1:<br \/>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The solutions are written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 11 Maths Chapter 31 Exercise 31.1:&nbsp;We will learn some basics of mathematical reasoning in this exercise. In the context of mathematics, reasoning is a process. Students can use RD Sharma Class 11 Solutions to help them get good grades in their board exams. The pdf of RD Sharma Solutions Class 11 &#8230; <a title=\"RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-31-exercise-31-1\/\" aria-label=\"More on RD Sharma Class 11 Solutions Chapter 31 Exercise 31.1 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":121604,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3428,73334,73564,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68106"}],"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\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=68106"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68106\/revisions"}],"predecessor-version":[{"id":121747,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68106\/revisions\/121747"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/121604"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=68106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=68106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=68106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}