{"id":61643,"date":"2023-10-05T12:50:00","date_gmt":"2023-10-05T07:20:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61643"},"modified":"2023-12-18T10:50:54","modified_gmt":"2023-12-18T05:20:54","slug":"rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/","title":{"rendered":"RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry (Updated For 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-141246\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-22-Introduction-To-Coordinate-Geometry-1.jpg\" alt=\"RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-22-Introduction-To-Coordinate-Geometry-1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-22-Introduction-To-Coordinate-Geometry-1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry: <\/strong>Kick start your Class 8 Maths exam preparation with the <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-8-maths-solutions\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 8 Maths<\/a>. All the solutions of RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry are designed by subject matter experts, which are credible and accurate.<\/p>\n<p>To download the Free PDF of RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry, use the link given in this blog. To know more, read the whole blog.<\/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-69eabd9a918da\" 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\" 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Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry 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\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-%e2%80%93-overview\" title=\"RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry &#8211; Overview\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry &#8211; Overview<\/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\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#faqs-on-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\" title=\"FAQs on RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry\">FAQs on RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry<\/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\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf\" title=\"From where can I find the download link for the RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry\u00a0PDF?\">From where can I find the download link for the RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry\u00a0PDF?<\/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\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf\" title=\"How much does it cost to download the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF?\">How much does it cost to download the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry 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\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#can-i-access-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf-offline\" title=\"Can I access the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF Offline?\">Can I access the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF Offline?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/#is-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-a-credible-source-for-class-8-maths-exam-preparation\" title=\"Is the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry a credible source for Class 8 Maths exam preparation?\">Is the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry a credible source for Class 8 Maths exam preparation?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Solutions-Class-8-Maths-Chapter-22-Introduction-To-Coordinate-Geometry.pdf\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry<\/a><\/p>\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\/10\/RS-Aggarwal-Solutions-Class-8-Maths-Chapter-22-Introduction-To-Coordinate-Geometry.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-%e2%80%93-overview\"><\/span><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry &#8211; Overview<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22, you will learn about coordinate geometry, based on analytic geometry that uses coordinate points to find the distance between any two points, get the midpoint of a line, divide lines, and calculate a triangle area in the cartesian plane, and more.<\/span><\/p>\n<p>You must know the key terms used in this chapter.<\/p>\n<ul>\n<li>Coordinate geometry: It is a study of geometry where coordinates are used to define a point. This helps to find the exact position of a point in a coordinate plane.\u00a0<\/li>\n<li>Coordinate and Coordinate Plane: A cartesian plane (or a 2D plane) is divided into 4 quadrants where 2 axes are perpendicular to each other, i.e., x-axis and y-axis where the two lines XOX&#8217; and YOY&#8217; are perpendicular to each other.\u00a0\n<p dir=\"ltr\">\u00a0<\/p>\n<\/li>\n<\/ul>\n<ol>\n<li dir=\"ltr\">XOX&#8217; represents the x-axis which is horizontal to the cartesian plane<\/li>\n<li dir=\"ltr\">YOY&#8217; represents the y axis which is vertical to the cartesian plane<\/li>\n<\/ol>\n<ul>\n<li>Quadrants: The four quadrants which are present in the cartesian plane, mentioned below:\u00a0<\/li>\n<\/ul>\n<ol>\n<li>Quadrant 1- XOY, sign (+,+)<\/li>\n<li>Quadrant 2- YOX&#8217; , sign (-,+)<\/li>\n<li>Quadrant 3- X&#8217;OY&#8217; , sign (-,-)<\/li>\n<li>Quadrant 4- Y&#8217;OX, sign (+,-)<\/li>\n<\/ol>\n<ul>\n<li>Ordered Pair: An ordered pair of coordinates is any point in the cartesian plane is represented in the form of (x,y), where x is present in the x-coordinate called as abscissa of the point, and y is present at y-coordinate known as ordinate of the point.\u00a0<\/li>\n<li>Origin: The origin is a point at which both the axis intersects with each other.<\/li>\n<\/ul>\n<p><strong>Equation Of A Line In Cartesian Plane<\/strong><\/p>\n<p>As per the <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry, an equation of a line can be represented in various ways, mentioned below:<\/span><\/p>\n<ul>\n<li dir=\"ltr\" role=\"presentation\">The General Form of A Line: The general form of a line can be written as Ax+By+C= 0<\/li>\n<li dir=\"ltr\" role=\"presentation\">Slope-Intercept Form: If x and y are coordinates of a point from where a line passes with am being the slope of a line which c is the y-intercept, then the equation of a line is written as:\u00a0<\/li>\n<\/ul>\n<p dir=\"ltr\">y = mx+c<\/p>\n<ul>\n<li dir=\"ltr\" role=\"presentation\">Intercept Form: If x and y are the x-intercept and y-intercept of a line, then the equation of a line\u00a0 is written as<\/li>\n<\/ul>\n<p dir=\"ltr\">y = mx+c<\/p>\n<ul>\n<li dir=\"ltr\" role=\"presentation\">The Slope of a Line: let the general form of a line is Ax+By+C= 0, the slope can be found by converting the general form of a line to slope-intercept form.\u00a0<\/li>\n<\/ul>\n<p dir=\"ltr\">Ax+By+C= 0<\/p>\n<p dir=\"ltr\">or, By= -Ax -C<\/p>\n<p dir=\"ltr\">or, y = -A\/B x &#8211; C\/ B<\/p>\n<p dir=\"ltr\">Comparing this equation with the slope-intercept equation<\/p>\n<p dir=\"ltr\">m= -A\/B<\/p>\n<p dir=\"ltr\"><strong>Theorems And Formulae<\/strong><\/p>\n<ul>\n<li dir=\"ltr\">Distance Formula: The distance between two points, i.e., A and B,\n<p dir=\"ltr\">with coordinates (x1, y1 ) and ( x2, y2 ) respectively can be calculated as<\/p>\n<p dir=\"ltr\">d= <span style=\"font-family: 'Open Sans', sans-serif; font-size: 17px; text-align: center; white-space: nowrap; word-spacing: normal; background-color: initial;\">\u221a<span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msqrt&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;Y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;Y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/msqrt&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msqrt\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"mo\">(<\/span><span id=\"MathJax-Span-6\" class=\"msubsup\"><span id=\"MathJax-Span-7\" class=\"mi\">X<\/span><span id=\"MathJax-Span-8\" class=\"texatom\"><span id=\"MathJax-Span-9\" class=\"mrow\"><span id=\"MathJax-Span-10\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-11\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-12\" class=\"msubsup\"><span id=\"MathJax-Span-13\" class=\"mi\">X<\/span><span id=\"MathJax-Span-14\" class=\"texatom\"><span id=\"MathJax-Span-15\" class=\"mrow\"><span id=\"MathJax-Span-16\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-17\" class=\"msubsup\"><span id=\"MathJax-Span-18\" class=\"mo\">)<\/span><span id=\"MathJax-Span-19\" class=\"texatom\"><span id=\"MathJax-Span-20\" class=\"mrow\"><span id=\"MathJax-Span-21\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-22\" class=\"mo\">+<\/span><span id=\"MathJax-Span-23\" class=\"mo\">(<\/span><span id=\"MathJax-Span-24\" class=\"msubsup\"><span id=\"MathJax-Span-25\" class=\"mi\">Y<\/span><span id=\"MathJax-Span-26\" class=\"texatom\"><span id=\"MathJax-Span-27\" class=\"mrow\"><span id=\"MathJax-Span-28\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-29\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-30\" class=\"msubsup\"><span id=\"MathJax-Span-31\" class=\"mi\">Y<\/span><span id=\"MathJax-Span-32\" class=\"texatom\"><span id=\"MathJax-Span-33\" class=\"mrow\"><span id=\"MathJax-Span-34\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-35\" class=\"msubsup\"><span id=\"MathJax-Span-36\" class=\"mo\">)<\/span><span id=\"MathJax-Span-37\" class=\"texatom\"><span id=\"MathJax-Span-38\" class=\"mrow\"><span id=\"MathJax-Span-39\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li dir=\"ltr\">Midpoint Theorem: The midpoint, M(x,y) of a line connecting two points, i.e., A and B with coordinates( x1, y1 ) and ( x2, y2) \u00a0respectively\u00a0 is given as\u00a0\n<p dir=\"ltr\">M (x,y) = <span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;mo&gt;,&lt;\/mo&gt;&lt;mspace width=&quot;thickmathspace&quot; \/&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-40\" class=\"math\"><span id=\"MathJax-Span-41\" class=\"mrow\"><span id=\"MathJax-Span-42\" class=\"mo\">(<\/span><span id=\"MathJax-Span-43\" class=\"mfrac\"><span id=\"MathJax-Span-44\" class=\"mrow\"><span id=\"MathJax-Span-45\" class=\"msubsup\"><span id=\"MathJax-Span-46\" class=\"mi\">x<\/span><span id=\"MathJax-Span-47\" class=\"texatom\"><span id=\"MathJax-Span-48\" class=\"mrow\"><span id=\"MathJax-Span-49\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-50\" class=\"mo\">+<\/span><span id=\"MathJax-Span-51\" class=\"msubsup\"><span id=\"MathJax-Span-52\" class=\"mi\">x<\/span><span id=\"MathJax-Span-53\" class=\"texatom\"><span id=\"MathJax-Span-54\" class=\"mrow\"><span id=\"MathJax-Span-55\" class=\"mn\">2\/<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-56\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-57\" class=\"mo\">,<\/span><span id=\"MathJax-Span-58\" class=\"mspace\"><\/span><span id=\"MathJax-Span-59\" class=\"mfrac\"><span id=\"MathJax-Span-60\" class=\"mrow\"><span id=\"MathJax-Span-61\" class=\"msubsup\"><span id=\"MathJax-Span-62\" class=\"mi\">y<\/span><span id=\"MathJax-Span-63\" class=\"texatom\"><span id=\"MathJax-Span-64\" class=\"mrow\"><span id=\"MathJax-Span-65\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-66\" class=\"mo\">+<\/span><span id=\"MathJax-Span-67\" class=\"msubsup\"><span id=\"MathJax-Span-68\" class=\"mi\">y<\/span><span id=\"MathJax-Span-69\" class=\"texatom\"><span id=\"MathJax-Span-70\" class=\"mrow\"><span id=\"MathJax-Span-71\" class=\"mn\">2\/<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-72\" class=\"mn\">2<\/span><\/span><span id=\"MathJax-Span-73\" class=\"mo\">)<\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li dir=\"ltr\">Angle Formula: Two lines A and B with slopes m1 and m2 respectively where \u03b8 is the angle between these two lines. The angle between them is given as\n<p dir=\"ltr\">Tan \u03b8 = <span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msub&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-74\" class=\"math\"><span id=\"MathJax-Span-75\" class=\"mrow\"><span id=\"MathJax-Span-76\" class=\"mfrac\"><span id=\"MathJax-Span-77\" class=\"mrow\"><span id=\"MathJax-Span-78\" class=\"msubsup\"><span id=\"MathJax-Span-79\" class=\"mi\">m<\/span><span id=\"MathJax-Span-80\" class=\"texatom\"><span id=\"MathJax-Span-81\" class=\"mrow\"><span id=\"MathJax-Span-82\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-83\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-84\" class=\"msubsup\"><span id=\"MathJax-Span-85\" class=\"mi\">m<\/span><span id=\"MathJax-Span-86\" class=\"texatom\"><span id=\"MathJax-Span-87\" class=\"mrow\"><span id=\"MathJax-Span-88\" class=\"mn\">2\/<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-89\" class=\"mrow\"><span id=\"MathJax-Span-90\" class=\"mn\">1<\/span><span id=\"MathJax-Span-91\" class=\"mo\">+<\/span><span id=\"MathJax-Span-92\" class=\"msubsup\"><span id=\"MathJax-Span-93\" class=\"mi\">m<\/span><span id=\"MathJax-Span-94\" class=\"texatom\"><span id=\"MathJax-Span-95\" class=\"mrow\"><span id=\"MathJax-Span-96\" class=\"mn\">1<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-97\" class=\"msubsup\"><span id=\"MathJax-Span-98\" class=\"mi\">m<\/span><span id=\"MathJax-Span-99\" class=\"texatom\"><span id=\"MathJax-Span-100\" class=\"mrow\"><span id=\"MathJax-Span-101\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p dir=\"ltr\">If the two lines are parallel to each other then: m1 = m2 = m<\/p>\n<p dir=\"ltr\">If the two lines are perpendicular to each other then: m1 x m2 = -1<\/p>\n<\/li>\n<li dir=\"ltr\">Section Formula: Line A and B which have (x<sub style=\"background-color: initial;\">1<\/sub><span style=\"font-size: inherit; background-color: initial;\">,y<\/span><sub style=\"background-color: initial;\">1<\/sub><span style=\"font-size: inherit; background-color: initial;\">) and x<\/span><sub style=\"background-color: initial;\">2<\/sub><span style=\"font-size: inherit; background-color: initial;\">,y<\/span><sub style=\"background-color: initial;\">2<\/sub><span style=\"font-size: inherit; background-color: initial;\"> as coordinates respectively and P point divides the lines into m:n ratio, then the coordinates of point P are:<\/span><\/li>\n<\/ul>\n<p dir=\"ltr\">m:n (internal) (<span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-102\" class=\"math\"><span id=\"MathJax-Span-103\" class=\"mrow\"><span id=\"MathJax-Span-104\" class=\"mfrac\"><span id=\"MathJax-Span-105\" class=\"mrow\"><span id=\"MathJax-Span-106\" class=\"mi\">m<\/span><span id=\"MathJax-Span-107\" class=\"msubsup\"><span id=\"MathJax-Span-108\" class=\"mi\">x<\/span><span id=\"MathJax-Span-109\" class=\"texatom\"><span id=\"MathJax-Span-110\" class=\"mrow\"><span id=\"MathJax-Span-111\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-112\" class=\"mo\">+<\/span><span id=\"MathJax-Span-113\" class=\"mi\">n<\/span><span id=\"MathJax-Span-114\" class=\"msubsup\"><span id=\"MathJax-Span-115\" class=\"mi\">x<\/span><span id=\"MathJax-Span-116\" class=\"texatom\"><span id=\"MathJax-Span-117\" class=\"mrow\"><span id=\"MathJax-Span-118\" class=\"mn\">1<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-119\" class=\"mrow\"><span id=\"MathJax-Span-120\" class=\"mi\">m<\/span><span id=\"MathJax-Span-121\" class=\"mo\">+<\/span><span id=\"MathJax-Span-122\" class=\"mi\">n<\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\" role=\"presentation\">mx2+nx1\/m+n<\/span><\/span>, <span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-123\" class=\"math\"><span id=\"MathJax-Span-124\" class=\"mrow\"><span id=\"MathJax-Span-125\" class=\"mfrac\"><span id=\"MathJax-Span-126\" class=\"mrow\"><span id=\"MathJax-Span-127\" class=\"mi\">m<\/span><span id=\"MathJax-Span-128\" class=\"msubsup\"><span id=\"MathJax-Span-129\" class=\"mi\">y<\/span><span id=\"MathJax-Span-130\" class=\"texatom\"><span id=\"MathJax-Span-131\" class=\"mrow\"><span id=\"MathJax-Span-132\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-133\" class=\"mo\">+<\/span><span id=\"MathJax-Span-134\" class=\"mi\">n<\/span><span id=\"MathJax-Span-135\" class=\"msubsup\"><span id=\"MathJax-Span-136\" class=\"mi\">y<\/span><span id=\"MathJax-Span-137\" class=\"texatom\"><span id=\"MathJax-Span-138\" class=\"mrow\"><span id=\"MathJax-Span-139\" class=\"mn\">1<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-140\" class=\"mrow\"><span id=\"MathJax-Span-141\" class=\"mi\">m<\/span><span id=\"MathJax-Span-142\" class=\"mo\">+<\/span><span id=\"MathJax-Span-143\" class=\"mi\">n<\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\" role=\"presentation\">my2+ny1\/m+n<\/span><\/span>)<\/p>\n<p dir=\"ltr\">m:n (external) (<span id=\"MathJax-Element-6-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-144\" class=\"math\"><span id=\"MathJax-Span-145\" class=\"mrow\"><span id=\"MathJax-Span-146\" class=\"mfrac\"><span id=\"MathJax-Span-147\" class=\"mrow\"><span id=\"MathJax-Span-148\" class=\"mi\">m<\/span><span id=\"MathJax-Span-149\" class=\"msubsup\"><span id=\"MathJax-Span-150\" class=\"mi\">x<\/span><span id=\"MathJax-Span-151\" class=\"texatom\"><span id=\"MathJax-Span-152\" class=\"mrow\"><span id=\"MathJax-Span-153\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-154\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-155\" class=\"mi\">n<\/span><span id=\"MathJax-Span-156\" class=\"msubsup\"><span id=\"MathJax-Span-157\" class=\"mi\">x<\/span><span id=\"MathJax-Span-158\" class=\"texatom\"><span id=\"MathJax-Span-159\" class=\"mrow\"><span id=\"MathJax-Span-160\" class=\"mn\">1<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-161\" class=\"mrow\"><span id=\"MathJax-Span-162\" class=\"mi\">m<\/span><span id=\"MathJax-Span-163\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-164\" class=\"mi\">n<\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\" role=\"presentation\">mx2\u2212nx1\/m\u2212n<\/span><\/span>, <span id=\"MathJax-Element-7-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mi&gt;n&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-165\" class=\"math\"><span id=\"MathJax-Span-166\" class=\"mrow\"><span id=\"MathJax-Span-167\" class=\"mfrac\"><span id=\"MathJax-Span-168\" class=\"mrow\"><span id=\"MathJax-Span-169\" class=\"mi\">m<\/span><span id=\"MathJax-Span-170\" class=\"msubsup\"><span id=\"MathJax-Span-171\" class=\"mi\">y<\/span><span id=\"MathJax-Span-172\" class=\"texatom\"><span id=\"MathJax-Span-173\" class=\"mrow\"><span id=\"MathJax-Span-174\" class=\"mn\">2<\/span><\/span><\/span><\/span><span id=\"MathJax-Span-175\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-176\" class=\"mi\">n<\/span><span id=\"MathJax-Span-177\" class=\"msubsup\"><span id=\"MathJax-Span-178\" class=\"mi\">y<\/span><span id=\"MathJax-Span-179\" class=\"texatom\"><span id=\"MathJax-Span-180\" class=\"mrow\"><span id=\"MathJax-Span-181\" class=\"mn\">1<\/span><\/span><\/span><\/span><\/span><span id=\"MathJax-Span-182\" class=\"mrow\"><span id=\"MathJax-Span-183\" class=\"mi\">m<\/span><span id=\"MathJax-Span-184\" class=\"mo\">\u2212<\/span><span id=\"MathJax-Span-185\" class=\"mi\">n<\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML MJX_Assistive_MathML_Block\" role=\"presentation\">my2\u2212ny1\/m\u2212n<\/span><\/span>)<\/p>\n<p dir=\"ltr\">Area of triangle in a Cartesian plane: The area of a triangle whose vertices are x1,y1 , x2,y2 and x3,y3 is\u00a0<\/p>\n<p dir=\"ltr\">\u00bd\u00a0 [x1(y2- y3) + x2 (y3-y1) + x3 (y1-y2)]<\/p>\n<p dir=\"ltr\">If the area of the triangle whose vertices are x1,y1, x2,y2, and x3,y3 is 0, then the 3 points are collinear.\u00a0<\/p>\n<div class=\"MathJax_Display\"><span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"box-sizing: border-box; font-family: 'Open Sans', sans-serif; -webkit-tap-highlight-color: rgba(255, 255, 255, 0); display: unset; font-style: normal; font-weight: normal; line-height: 1.7em; font-size: 17px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msqrt&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;Y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;Y&lt;\/mi&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msup&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/msqrt&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msqrt\"><\/span><\/span><\/span><\/span>This is the complete blog on the <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 8 Maths exam, ask in the comments.<\/span><\/div>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\"><\/span>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry<\/span><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-1634629983606\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry\u00a0PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634629997791\" 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-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf\"><\/span>How much does it cost to download the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF?<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-1634630011007\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-pdf-offline\"><\/span>Can I access the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry PDF Offline?<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 whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634630024658\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-the-rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry-a-credible-source-for-class-8-maths-exam-preparation\"><\/span>Is the\u00a0RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry a credible source for Class 8 Maths exam preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the solutions are prepared by the subject matter experts, hence credible.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry: Kick start your Class 8 Maths exam preparation with the RS Aggarwal Solutions Class 8 Maths. All the solutions of RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry are designed by subject matter experts, which are credible and accurate. &#8230; <a title=\"RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry (Updated For 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-8-maths-chapter-22-introduction-to-coordinate-geometry\/\" aria-label=\"More on RS Aggarwal Solutions Class 8 Maths Chapter 22 Introduction To Coordinate Geometry (Updated For 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":141246,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73412,73410],"tags":[73325,77390,77429],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61643"}],"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\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=61643"}],"version-history":[{"count":6,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61643\/revisions"}],"predecessor-version":[{"id":573992,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61643\/revisions\/573992"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/141246"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}