{"id":73784,"date":"2021-02-08T13:18:21","date_gmt":"2021-02-08T07:48:21","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73784"},"modified":"2021-02-08T13:18:25","modified_gmt":"2021-02-08T07:48:25","slug":"rd-sharma-chapter-13-class-9-maths-exercise-13-4-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-4-solutions\/","title":{"rendered":"RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions is about the Equations of lines parallel to the x-axis and y-axis. Any point in the pattern(x, 0), where x is the real number, lies on the x-axis because the y-coordinate of every spot on the x-axis is zero. The equation of the x-axis is y= 0. Likewise, the equation of the y-axis is x= 0 as the x-coordinate of every spot on the y-axis is zero. Practicing questions based on the graph is comparatively from the other problems. Also, students can obtain the marks more easily as these questions get solved quickly. It is effortless to score well in the exam with the help of problems on graphs.<\/p>\n<p>We have attached the RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions PDF to practice with the various types of questions related to the x-axis and the y-axis. The PDF is prepared by our experts for the students in which the solutions of problems are provided in a stepwise and easy manner.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-13-linear-equations-in-two-variables\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Chapter 13 (Linear Equations In Two Variables) Class 9<\/strong><\/a><\/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-69dc829ab445f\" 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-69dc829ab445f\"><\/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-13-class-9-maths-exercise-13-4-solutions\/#download-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions-pdf\" title=\"Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions PDF\">Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions PDF<\/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-13-class-9-maths-exercise-13-4-solutions\/#important-definitions-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions\" title=\"Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions\">Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-4-solutions\/#equation-of-a-line-parallel-to-the-x-axis\" title=\"Equation of a Line Parallel to the x-Axis\">Equation of a Line Parallel to the x-Axis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-4-solutions\/#equation-of-a-line-parallel-to-the-y-axis\" title=\"Equation of a Line Parallel to the y-Axis\">Equation of a Line Parallel to the y-Axis<\/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-13-class-9-maths-exercise-13-4-solutions\/#examples-related-to-the-equations-of-lines-parallel-to-the-x-axis-and-y-axis-of-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions\" title=\"Examples related to the Equations of lines parallel to the x-axis and y-axis of RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions\">Examples related to the Equations of lines parallel to the x-axis and y-axis of RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions-pdf\"><\/span>Download RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions 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: 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\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-13-Linear-Equations-in-Two-Variables-Exercise-13.4.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-13-Linear-Equations-in-Two-Variables-Exercise-13.4.pdf\">Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions\"><\/span>Important Definitions RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the following points, we will discuss the Equation of a Line Parallel to the x-axis and the y-axis separately with definitions and examples.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"equation-of-a-line-parallel-to-the-x-axis\"><\/span><strong>Equation of a Line Parallel to the x-Axis<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To obtain the equation of the x-axis and a line parallel to the x-axis-<\/p>\n<p>Consider \u2018AB\u2019 to be a straight line parallel to the x-axis at the distance \u2018b\u2019 units from it. Then, all points on a line \u2018AB\u2019 have the corresponding ordinate \u2018b\u2019. Thus, \u2018AB\u2019 can be recognized as the locus of a point at a distance \u2018b\u2019 from the x-axis, and all points on a line \u2018AB\u2019 meet the condition y = b.<\/p>\n<p>If P(x, y) in any position on \u2018AB\u2019, then y = b.<\/p>\n<p><img class=\"alignnone size-full wp-image-73786\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/13.4-1.png\" alt=\"\" width=\"388\" height=\"257\"><\/p>\n<p>Consequently, the equation of a straight line parallels to the x-axis at a distance \u2018b\u2019 from it is y = b.<\/p>\n<p>The equation of the x-axis is y = 0 since the x-axis is parallel to itself at a distance of \u20180\u2019 from it.<\/p>\n<p>Or<\/p>\n<p>Let P(x,y) be any position on the x-axis. Simply, for all positions of \u2018P\u2019, we shall have the same ordinate 0 or y = 0.<\/p>\n<p>Therefore, an equation of the x-axis is y = 0.<\/p>\n<p>If a straight line is parallel and down to the x-axis at a distance \u2018b,\u2019 then the equation is y = -b.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"equation-of-a-line-parallel-to-the-y-axis\"><\/span><strong>Equation of a Line Parallel to the y-Axis<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Here, we will study how to obtain the equation of the y-axis and an equation of a line parallel to the y-axis.<\/p>\n<p>Consider \u2018AB\u2019 to be a straight line parallel to the y-axis at a distance \u2018a\u2019 units from it. Then, all points on a line AB have the same abscissa \u2018a\u2019. So, \u2018AB\u2019 can be recognized as the locus of the point at a distance \u2018a\u2019 from the y-axis, and all points on a line \u2018AB\u2019 meet the condition x = a.<\/p>\n<p>If P(x, y) in any position on \u2018AB\u2019, then x = a.<\/p>\n<p><img class=\"alignnone size-full wp-image-73787\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/13.4-2.png\" alt=\"RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions\" width=\"426\" height=\"271\" \/><\/p>\n<p>Consequently, the equation of a straight line parallels to the y-axis at the distance \u2018a\u2019 from it is x = a.<\/p>\n<p>The equation of the y-axis is x = 0 since the y-axis is the parallel to itself at a distance of \u20180\u2019 from it.<\/p>\n<p>Or<\/p>\n<p>Let P (x, y) be any position on the y-axis. Then simply, for all positions of \u2018P,\u2019 we shall have the same abscissa 0 or, x = 0.<\/p>\n<p>Accordingly, the equation of the y-axis is x = 0.<\/p>\n<p>If a straight line is parallel and to the left of the x-axis at a distance \u2018a\u2019, then the equation is x = -a.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-related-to-the-equations-of-lines-parallel-to-the-x-axis-and-y-axis-of-rd-sharma-chapter-13-class-9-maths-exercise-134-solutions\"><\/span><strong>Examples related to the Equations of lines parallel to the x-axis and y-axis of RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ques 1- Find an equation of a straight line parallels to the x-axis at the distance of 10 units above the x-axis.<\/p>\n<p>Ans- We know that an equation of a straight line parallel to the x-axis at a distance \u2018b\u2019 from it is y = b. Hence, an equation of a straight line parallels to the x-axis at a distance of 10 (ten) units above the x-axis is y = 10.<\/p>\n<p>Ques 2- Find an equation of a straight line parallels to the y-axis at the distance of 3 units on the left-hand side of the y-axis.<\/p>\n<p>Ans- We know that an equation of a straight line is parallel, and to the left of the x-axis at a distance \u2018a\u2019, then the equation is x = -a. Hence, an equation of the straight line parallel to the y-axis at the distance of 3 units on the left-hand side of the y-axis is x = -3.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions is about the Equations of lines parallel to the x-axis and y-axis. Any point in the pattern(x, 0), where x is the real number, lies on the x-axis because the y-coordinate of every spot on the x-axis is zero. The equation of the x-axis is &#8230; <a title=\"RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-13-class-9-maths-exercise-13-4-solutions\/\" aria-label=\"More on RD Sharma Chapter 13 Class 9 Maths Exercise 13.4 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73788,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73784"}],"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\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=73784"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73784\/revisions"}],"predecessor-version":[{"id":73941,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73784\/revisions\/73941"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73788"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}