{"id":55823,"date":"2020-10-01T15:30:00","date_gmt":"2020-10-01T10:00:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=55823"},"modified":"2020-10-05T16:23:44","modified_gmt":"2020-10-05T10:53:44","slug":"ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry"},"content":{"rendered":"\n<p>Class 11 Maths NCERT Solutions are very helpful for students who are preparing for the final exams. These solutions are also very useful when students are doing their homework. If there are several problems that cannot be immediately solved either because of the absence of teachers or due to any other difficulty, you can directly look up for the solutions here.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions For 11th Maths All Chapters<\/a><\/li>\n<\/ul>\n<p>Three Dimensional Geometry is not an easy chapter and that is why you must keep class 11 chapter 12 Maths NCERT solutions very handy.<\/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-69d0357d3267a\" 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-69d0357d3267a\"><\/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\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/#ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\" title=\"NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry\">NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry<\/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\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/#what-will-you-learn-in-cbse-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\" title=\"What will you learn in CBSE Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry?\">What will you learn in CBSE Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry?<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/#section-topic\" title=\"Section Topic\">Section Topic<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/#chapter-12-maths-solutions-cover-the-following-excercises\" title=\"Chapter 12 Maths solutions cover the following excercises.\u00a0\">Chapter 12 Maths solutions cover the following excercises.\u00a0<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\"><\/span>NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Free download for Class 11 Maths chapter 12 solutions pdf is directly available on the internet. Chapters from Three Dimensional Geometry Ex 12.1, Ex 12.2, Ex 12.3, and Miscellaneous Exercise PDF are also available below. You just have to click on the links for download and save it for any time use. For all the students who think Maths is a difficult subject, download CBSE class 11 Maths Chapter 12 solutions and solve Maths easily.<\/p>\n<p>The different sections in Chapter 12 of CBSE Maths Class 11 must be solved thoroughly before the exam starts. In addition to this, students must regularly revise the old topics.\u00a0<\/p>\n<p>You can download\u00a0CBSE Solutions for Class 11 Maths\u00a0Chapter 12 Introduction to Three Dimensional Geometry\u00a0from below.<\/p>\n<p style=\"margin-top: 24px; text-align: center;\"><a style=\"display: inline-block; width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; text-decoration-line: underline; color: #ffffff; background: #ff4500; box-shadow: rgba(0, 0, 0, 0.25) 0px 2px 6px 0px;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-11-Maths-Chapter-12.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Download NCERT Class 11 Maths Chapter 12 Solutions<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-learn-in-cbse-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\"><\/span>What will you learn in CBSE Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In a given plan, the perpendicular lines which are also mutual to each other and define the three mutually perpendicular planes are called the Coordinate planes. These Coordinate planes further divide the space into eight different sections known as Octants and the lines are known as Coordinate axes.<\/p>\n<ul>\n<li>Coordinates of a point lying on x-axis is given as-(x, 0, 0)<\/li>\n<li>Coordinates of a point lying on y-axis is given as- (0, y, 0)<\/li>\n<li>Coordinates of a point lying on z-axis is given as- (0, 0, z)<\/li>\n<li>Coordinates of points lying on xy- (x, y, 0)<\/li>\n<li>Coordinates of points lying on yz \u2013 plane- (0, y, z)<\/li>\n<li>Coordinates of a point lying on xz \u2013 plane- (x, 0, z)<\/li>\n<li>The reflection of the point (x, y, z) in xy \u2013 plane is (x, y, \u2013z)<\/li>\n<li>The reflection of the point (x, y, z) in plane yz is (\u2013x, y, z)<\/li>\n<li>The reflection of the point (x, y, z) in xz plane is (x,\u2013y, z)<\/li>\n<\/ul>\n<p>P is a point of the coordinates where the perpendicular distances of P from three coordinate planes are YZ, ZX and XY respectively.<\/p>\n<p>The different sections in Chapter 12 of CBSE Maths Class 11 must be solved thoroughly before the exam starts. In addition to this, students must regularly revise the old topics. Students can go through Class 11 Maths solutions chapter 12 pdf download on our website.<\/p>\n<p>The sections of chapter 12 are given as follows:<\/p>\n<h4><span class=\"ez-toc-section\" id=\"section-topic\"><\/span>Section Topic<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>12 Introduction to Three Dimensional Geometry<\/li>\n<li>12.1 Introduction<\/li>\n<li>12.2 Coordinate Axes and Coordinate Planes in Three Dimensional Space<\/li>\n<li>12.3 Coordinates of a Point in Space<\/li>\n<li>12.4 Distance between Two Points<\/li>\n<li>12.5 Section Formula<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"chapter-12-maths-solutions-cover-the-following-excercises\"><\/span>Chapter 12 Maths solutions cover the following excercises.\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>EXERCISE 12.1\u00a0&#8211; 4 Questions with Solutions<\/li>\n<li>EXERCISE 12.2\u00a0&#8211; 5 Questions with Solutions<\/li>\n<li>EXERCISE 12.3\u00a0&#8211; 5 Questions with Solutions.\u00a0<\/li>\n<\/ul>\n<p>We have covered the complete guide on\u00a0<a href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a>\u00a0NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry. Feel free to ask us any questions in the comment section below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Class 11 Maths NCERT Solutions are very helpful for students who are preparing for the final exams. These solutions are also very useful when students are doing their homework. If there are several problems that cannot be immediately solved either because of the absence of teachers or due to any other difficulty, you can directly &#8230; <a title=\"NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-12-introduction-to-three-dimensional-geometry\/\" aria-label=\"More on NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":55606,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934],"tags":[3428],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55823"}],"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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=55823"}],"version-history":[{"count":1,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55823\/revisions"}],"predecessor-version":[{"id":57750,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55823\/revisions\/57750"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/55606"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=55823"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=55823"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=55823"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}