{"id":1092,"date":"2021-12-17T16:35:20","date_gmt":"2021-12-17T11:05:20","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1092"},"modified":"2022-04-15T14:49:40","modified_gmt":"2022-04-15T09:19:40","slug":"ncert-solutions-for-class-12-maths-chapter-11-three-dimensional-geometry","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry, which includes thorough solutions for reference. All of the questions from the textbook&#8217;s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 12 provide useful solutions for improving conceptual knowledge.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12pupils perform well in upcoming competitive exams.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 92px;\">\n<tbody>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry-exercise-11-1\" target=\"_blank\" rel=\"noopener\">Exercise 11.1 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry-exercise-11-2\" target=\"_blank\" rel=\"noopener\">Exercise 11.2 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/ncert-solutions-for-class-12-maths-chapter-11-three-dimensional-geometry-11-3\/\" target=\"_blank\" rel=\"noopener\">Exercise 11.3 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry-exercise-miscellaneous\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise solutions<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/1092\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Chapter-11.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Chapter-11.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Chapter 11<br\/><\/a>\n<p><b><span data-contrast=\"auto\">NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">The topics and subtopics covered in Chapter 11- Three Dimensional Geometry of NCERT Solutions for Class 12 are as follows:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.1 Introduction<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.2 Direction Cosines and Direction Ratios of a Line<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.2.1 Relation between the direction cosines of a line<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.2.2 Direction cosines of a line passing through two points<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.3 Equation of a Line in Space<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.3.1 Equation of a line through a given point and parallel to a given vector b.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.3.2 Equation of a line passing through two given points<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.4 Angle between Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.5 Shortest Distance between Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.5.1 Distance between two skew lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.5.2 Distance between parallel lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6 Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6.1 Equation of a plane in normal form<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6.2 Equation of a plane perpendicular to a given vector, passing through a given point<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6.3 Equation of a plane passing through three non-collinear points<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6.4 Intercept form of the equation of a plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6.5 Plane passing through the intersection of two given planes<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.7 Coplanarity of Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.8 Angle between Two Planes<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.9 Distance of a Point from a Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.10 Angle between a Line and a Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">NCERT Solutions for Class 12 Maths Chapter 11- Three Dimensional Geometry<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">According to the new CBSE Syllabus 2021-22, the chapter Three Dimensional Geometry is part of the unit Vectors and Three\u2013Dimensional Geometry in term II. It accounts for 14 of the total marks. This chapter includes three activities, as well as a random, practice to assist students to grasp the fundamentals of Three Dimensional Geometry. The following are some of the topics covered in Chapter 11 of NCERT Solutions for Class 12 Maths:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"none\">The cosines of the angles formed by a line with the positive directions of the coordinate axes are called the direction cosines of a line.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">If l, m, n are the direction cosines of a line, then l^2+m^2+n^2 = 1<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">A line&#8217;s direction ratios are the numbers that are proportional to the line&#8217;s direction cosines.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Skewed lines are lines that are neither parallel nor intersecting in space. They are positioned on distinct planes.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">The angle between skew lines is the angle formed by two intersecting lines drawn parallel to one other from any point (ideally through the origin).<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">If l1 , m1, n1 and l2, m2, n2 are the direction cosines of two lines; and \u03b8 is the acute angle between the two lines; then cos\u03b8 = |l<\/span><span data-contrast=\"none\">1<\/span><span data-contrast=\"none\">l<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> + m1m2 + n1n2|<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">These are some of the topics covered in the three-dimensional geometry chapter. NCERT Solutions for Class 12 Maths Chapter 11 can be used as a quick reference to help students understand complicated concepts. Refer to the NCERT Textbook and NCERT Solutions of Class 12 Maths for further information on the chapter.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">Key Features of NCERT Solutions for Class 12 Maths Chapter 11- Three Dimensional Geometry<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Students who study Class 12 Three Dimensional Geometry utilizing the NCERT Solutions will be able to comprehend the following:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A line connecting two places has direction cosines and direction ratios. The shortest distance between two lines, coplanar and skew lines, and the Cartesian equation and vector equation of a line. A plane&#8217;s Cartesian and vector equations. The angle is formed by two lines, two planes, or a line and a plane. A point&#8217;s distance from a plane.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 11<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<ol>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\">What is three-dimensional geometry in NCERT Solutions for Class 12 Maths Chapter 11? <\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\" data-contrast=\"none\">What are the important topics covered in Chapter 11 of NCERT Solutions for Class 12 Maths?<\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\">Is NCERT Solutions for Class 12 Maths Chapter 11 the best study material for the students during revision? <\/span><\/li>\n<\/ol>\n<p aria-level=\"3\"><strong>1. What is three-dimensional geometry in NCERT Solutions for Class 12 Maths Chapter 11? <\/strong><\/p>\n<p><span data-contrast=\"none\">It is an area of mathematics that deals with three-dimensional coordinate systems and the study of lines, points, and solid objects. It will teach students how to use the z-coordinate in conjunction with the x and y coordinates to identify the precise location of a point in three-dimensional coordinate planes.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>2. What are the important topics covered in Chapter 11 of NCERT Solutions for Class 12 Maths?<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The topics and subtopics covered in NCERT Solutions for Class 12 Maths Chapter 11 are listed below:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.1 Introduction<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.2 Direction Cosines and Direction Ratios of a Line<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.3 Equation of a Line in Space<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.4 Angle between Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.5 Shortest Distance between Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.6 Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.7 Coplanarity of Two Lines<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.8 Angle between Two Planes<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.9 Distance of a Point from a Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">11.10 Angle between a Line and a Plane<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>3. Is NCERT Solutions for Class 12 Maths Chapter 11 the best study material for the students during revision? <\/strong><\/p>\n<p><span data-contrast=\"none\">Yes, the NCERT Solutions for Class 12 Maths Chapter 11 is the finest study material for students who want to easily revise complicated ideas. Each solution includes a reasonable explanation to assist pupils in learning. INFINITY LEARN&#8217;s in-house team of professionals has framed the step-by-step answers to encourage students to think analytically. These solutions can also be compared to obtain an idea of what different options are available for solving textbook problems.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry, which includes thorough solutions for [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 12 Maths Chapter 11 Three Dimensional Geometry","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry - Free Download","_yoast_wpseo_metadesc":"NCERT Solutions for Class 12 Maths Chapter 11 - Three Dimensional Geometry solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Three Dimensional Geometry Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-11-3-dimensional-geometry\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry - Free Download<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 12 Maths Chapter 11 - Three Dimensional Geometry solved by Expert Teachers as per NCERT (CBSE) Book guidelines. 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