{"id":126861,"date":"2023-09-13T17:12:00","date_gmt":"2023-09-13T11:42:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=126861"},"modified":"2023-11-20T12:01:15","modified_gmt":"2023-11-20T06:31:15","slug":"rd-sharma-class-10-solutions-chapter-8-exercise-8-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.2 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126880\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.2.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.2.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-8-Exercise-8.2-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2:\u00a0<\/strong>Students can refer to the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Class 10 Solutions<\/strong><\/a> carefully prepared by subject experts at Kopykitab in simple language for a full understanding of how to answer these questions. Below is a PDF file containing <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-quadratic-equations\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 8<\/strong><\/a> Exercise 8.2.<\/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-69e753449b660\" 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\" 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: #000000;color:#000000\" 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-69e753449b660\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/#download-rd-sharma-class-10-solutions-chapter-8-exercise-82-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 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-class-10-solutions-chapter-8-exercise-8-2\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-8-exercise-82-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.2- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.2- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/#faqs-on-rd-sharma-class-10-solutions-chapter-8-exercise-82\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2\">FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/#how-is-rd-sharma-class-10-solutions-chapter-8-exercise-82-helpful-for-board-exams\" title=\"How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 helpful for board exams?\">How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 helpful for board exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/#is-the-rd-sharma-class-10-solutions-chapter-8-exercise-82-available-on-the-kopykitab-website\" title=\"Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 available on the Kopykitab website?\">Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 available on the Kopykitab website?<\/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-class-10-solutions-chapter-8-exercise-8-2\/#where-can-i-get-rd-sharma-class-10-solutions-chapter-8-exercise-82-free-pdf\" title=\"Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF?\">Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-8-exercise-82-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/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\/09\/RD-Sharma-Solution-Class-10-Chapter-8-Exercise-8.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-8-Exercise-8.2.pdf\">RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-8-exercise-82-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 8 Exercise 8.2- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<br \/>The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer. [NCERT]<br \/>Solution:<br \/>Let the first number = x<br \/>The second number = x + 1<br \/>Their product = 306<br \/>x (x + 1) = 306<br \/>\u21d2 x<sup>2<\/sup>\u00a0+ x \u2013 306 = 0<br \/>Required quadratic equation will be x<sup>2<\/sup>\u00a0+ x \u2013 306 = 0<\/p>\n<p>Question 2.<br \/>John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 128. Form the quadratic equation to find how many marbles they had to start with if John had x marbles.<br \/>Solution:<br \/>No. of marbles John and Jivanti have = 45<br \/>Let the number of marbles John has = x<br \/>Then the number of marbles Jivanti has = 45 -x<br \/>Everyone lost 5 marbles, then John\u2019s marbles = x \u2013 5<br \/>and Jivanti\u2019s marbles = 45 \u2013 x \u2013 5 = 40 \u2013 x<br \/>According to the condition,<br \/>(x \u2013 5) (40 \u2013 x) = 128<br \/>\u21d2 40x \u2013 x<sup>2<\/sup>\u00a0\u2013 200 + 5x \u2013 128 = 0<br \/>\u21d2 -x<sup>2<\/sup>\u00a0+ 45x \u2013 328 = 0<br \/>\u21d2 x<sup>2<\/sup>\u00a0\u2013 45x + 328 = 0<\/p>\n<p>Question 3.<br \/>A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation of finding x.<br \/>Solution:<br \/>Let the number of toys in a day = x<br \/>Cost of each toy = x \u2013 55<br \/>on a particular cost of production = Rs. 750<br \/>x (x \u2013 55) = 750<br \/>\u21d2 x<sup>2<\/sup>\u00a0\u2013 55x \u2013 750 = 0<br \/>Hence required quadratic equation will be x<sup>2<\/sup>\u00a0\u2013 55x \u2013 750 = 0<\/p>\n<p>Question 4.<br \/>The height of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, form the quadratic equation to find the base of the triangle.<br \/>Solution:<br \/>Let the base of a right triangle = x<br \/>Its height = x \u2013 7<br \/>and hypotenuse = 13 cm<br \/>\u21d2 By Pythagoras Theorem<br \/>(Hypotenuse)<sup>2<\/sup>\u00a0= (Base)<sup>2<\/sup>\u00a0+ (Height)<sup>2<\/sup><br \/>(13 )<sup>2<\/sup>\u00a0= x<sup>2<\/sup>\u00a0+ (x \u2013 7)<sup>2<\/sup><br \/>\u21d2 169 = x<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0\u2013 14x + 49<br \/>\u21d2 2x<sup>2<\/sup>\u00a0\u2013 14x + 49 \u2013 169 = 0<br \/>\u21d2 2x<sup>2<\/sup>\u00a0\u2013 14x \u2013 120 = 0<br \/>\u21d2 x<sup>2<\/sup>\u00a0\u2013 7x \u2013 60 = 0 (Dividing by 2)<br \/>Hence required quadratic equation will be x<sup>2<\/sup>\u00a0\u2013 7x \u2013 60 = 0<\/p>\n<p>Question 5.<br \/>An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore. If the average speed of the express train is 11 km\/hr more than that of the passenger train, form the quadratic equation to find the average speed of the express train.<br \/>Solution:<br \/>Distance between Mysore and Bangalore = 132 km<br \/>Let the average speed of passenger train=x km\/ hr<br \/>The average speed of express train = (x + 11) km\/hr<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1728\/41655432225_ab4bdf3628_o.png\" alt=\"RD Sharma Class 10 Chapter 8 Quadratic Equations \" width=\"335\" height=\"290\" \/><\/p>\n<p>Question 6.<br \/>A train travels 360 km at a uniform speed. If the speed had been 5 km\/hr more, it would have taken 1 hour less for the same journey. Form the quadratic equation to find the speed of the train.<br \/>Solution:<br \/>Total distance = 360 km<br \/>Let the uniform speed of the train = x km\/hr<br \/>Time taken =\u00a0360x<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1721\/41655432165_099e005781_o.png\" alt=\"Quadratic Equations Class 10 RD Sharma \" width=\"315\" height=\"232\" \/><\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>\u00a0Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-8-exercise-82\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2<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-1631524250826\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-is-rd-sharma-class-10-solutions-chapter-8-exercise-82-helpful-for-board-exams\"><\/span>How is RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 helpful for board exams?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>For self-evaluation, RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 provides solutions with thorough descriptions as per term limits specified by the Board. Students will gain valuable experience solving these problems, allowing them to complete the assignment on time.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631526242782\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-the-rd-sharma-class-10-solutions-chapter-8-exercise-82-available-on-the-kopykitab-website\"><\/span>Is the RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 available on the Kopykitab website?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the PDFs of RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 are available. These solutions are created in a unique method by Kopykitab\u2019s expert faculty.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631526464966\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-class-10-solutions-chapter-8-exercise-82-free-pdf\"><\/span>Where can I get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 8 Exercise 8.2:\u00a0Students can refer to the RD Sharma Class 10 Solutions carefully prepared by subject experts at Kopykitab in simple language for a full understanding of how to answer these questions. Below is a PDF file containing RD Sharma Solutions for Class 10 Maths Chapter 8 Exercise 8.2. &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.2 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-8-exercise-8-2\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 8 Quadratic Equations Exercise 8.2 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":126880,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126861"}],"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=126861"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126861\/revisions"}],"predecessor-version":[{"id":509821,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126861\/revisions\/509821"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126880"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=126861"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=126861"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=126861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}