{"id":66922,"date":"2023-09-12T12:39:00","date_gmt":"2023-09-12T07:09:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=66922"},"modified":"2023-11-10T10:25:30","modified_gmt":"2023-11-10T04:55:30","slug":"rd-sharma-chapter-4-class-10-maths-exercise-4-12-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-10-maths-exercise-4-12-solutions\/","title":{"rendered":"RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions(Updated for 2024)"},"content":{"rendered":"\n<p>RD Sharma Chapter 4 Class 10 Maths Exercise 4.1 Solutions: Quadratic Equations have been compiled to help you score well in the CBSE board exam. It is a compulsory subject of the CBSE class 10 syllabus as questions of this subject always get sufficient coverage in the question papers every year. Our RD Sharma Class 10 Maths Solutions Quadratic Equation tells you about quadratic equations, including factoring methods like finding a solution to a quadratic equation and completing class methods. Here you will also understand the nature of the root and the applications of quadratic equations in daily life.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-maths-solutions-chapter-4-quadratic-equations\/\">RD Sharma Chapter 4<\/a><span style=\"font-size: inherit; background-color: initial;\"> Class 10 Maths Exercise 4.12 Solutions has 2 questions, both of which are word problems from time to time, where they must be converted into quadratic equations before they can find solutions.<\/span><\/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-69d095d5081a9\" 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-69d095d5081a9\"><\/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-chapter-4-class-10-maths-exercise-4-12-solutions\/#download-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\" title=\"Download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions\">Download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-10-maths-exercise-4-12-solutions\/#important-definition-for-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\" title=\"Important Definition for RD Sharma\u00a0Chapter 4 Class 10 Maths Exercise 4.12 Solutions\">Important Definition for RD Sharma\u00a0Chapter 4 Class 10 Maths Exercise 4.12 Solutions<\/a><\/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-chapter-4-class-10-maths-exercise-4-12-solutions\/#faqs-on-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\" title=\"FAQs On RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions\">FAQs On RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions<\/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-chapter-4-class-10-maths-exercise-4-12-solutions\/#where-can-i-download-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions-free-pdf\" title=\"Where can I download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions free PDF?\">Where can I download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions free PDF?<\/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-chapter-4-class-10-maths-exercise-4-12-solutions\/#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\" title=\"How much does it cost to download the PDF of RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions?\">How much does it cost to download the PDF of RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions?<\/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-chapter-4-class-10-maths-exercise-4-12-solutions\/#can-i-access-the-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions-pdf-offline\" title=\"Can I access the RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions PDF offline?\">Can I access the RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\"><\/span>Download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions<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: 500px;}<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\/2020\/12\/RD-SHARMA-Solutions-Class-10-Maths-Chapter-8-Ex-8.12.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-SHARMA-Solutions-Class-10-Maths-Chapter-8-Ex-8.12.pdf\">RD SHARMA Solutions Class 10 Maths Chapter 8 Ex 8.12<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\"><\/span>Important Definition for RD Sharma\u00a0Chapter 4 Class 10 Maths Exercise 4.12 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><b><\/b><strong><b>Quadratic Equations<\/b><\/strong><\/li>\n<\/ul>\n<p>Here you will learn that an equation with the form a<em><i>x<\/i><\/em>2\u00a0+ b<em><i>x<\/i><\/em>\u00a0+ c = 0, with\u00a0<em><i>x<\/i><\/em>\u00a0as the variable and a, b, c as real numbers (where a \u2260 0) is known as a quadratic equation. A quadratic equation is obtained upon equating the quadratic polynomial of the form a<em><i>x<\/i><\/em>2\u00a0+ b<em><i>x<\/i><\/em> + c, a \u2260 0 to zero.\u00a0Some equations may be of a higher degree and need to be simplified before deciding whether it is quadratic or not. We often\u00a0come across quadratic equations in real-life situations.<\/p>\n<ul>\n<li><b><\/b><strong><b>Solving Quadratic Equations by Factorisation<\/b><\/strong><\/li>\n<\/ul>\n<p>This part of the Chapter tells you that\u00a0the first method of solving a quadratic equation is the factorisation method. Here values of\u00a0the variable\u00a0<em><i>x<\/i><\/em>\u00a0are determined, for which a quadratic equation is satisfied. These particular values of\u00a0<em><i>x<\/i><\/em>\u00a0are called the roots of the quadratic equation.<\/p>\n<ul>\n<li><b><\/b><strong><b>Solving Quadratic Equations by Completing the Square<\/b><\/strong><\/li>\n<\/ul>\n<p>This section teaches you that a quadratic equation can also be solved by the method of completing the square like-<\/p>\n<p>(<em><i>x<\/i><\/em>\u00a0+ a)2\u00a0\u2013 b2\u00a0= 0<\/p>\n<ul>\n<li><b><\/b><strong><b>Nature of Roots<\/b><\/strong><\/li>\n<\/ul>\n<p>This part of Cass 10 Maths Quadratic Equations teaches you that values of real roots vary for a quadratic equation of the form a<em><i>x<\/i><\/em>2\u00a0+ b<em><i>x<\/i><\/em>\u00a0+ c = 0.vWhen b2\u00a0\u2013 4ac &gt; 0, then the equation possesses two distinct real roots. In case b2\u00a0\u2013 4ac = 0, then the equation has two equal roots (known as coincident roots).\u00a0<\/p>\n<p>Know more at the <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">official website<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\"><\/span>FAQs On RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions<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-1699591612800\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions-free-pdf\"><\/span>Where can I download RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.1 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1699591644690\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions\"><\/span><strong>How much does it cost to download the PDF of RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1699591676762\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-chapter-4-class-10-maths-exercise-412-solutions-pdf-offline\"><\/span><strong>Can I access the RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions<\/strong> PDF<strong> offline?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline as well.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 4 Class 10 Maths Exercise 4.1 Solutions: Quadratic Equations have been compiled to help you score well in the CBSE board exam. It is a compulsory subject of the CBSE class 10 syllabus as questions of this subject always get sufficient coverage in the question papers every year. Our RD Sharma Class &#8230; <a title=\"RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions(Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-4-class-10-maths-exercise-4-12-solutions\/\" aria-label=\"More on RD Sharma Chapter 4 Class 10 Maths Exercise 4.12 Solutions(Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":66961,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,73396,73718,73411,73410],"tags":[3243,9206,73520],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66922"}],"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\/236"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=66922"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66922\/revisions"}],"predecessor-version":[{"id":505681,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66922\/revisions\/505681"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/66961"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=66922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=66922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=66922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}