Three Dimensional Geometry - Full Chapter Explanation | Class 12 Maths Chapter 11 | 2022-23
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✅ In this video,
✔️ Class: 12th
✔️ Subject: Maths
✔️ Chapter: Three Dimensional Geometry (Chapter 11)
✔️ Topic Name: Three Dimensional Geometry - Full Chapter Explanation, NCERT Solutions and MCQs | Class 12 Maths Chapter 11 | 2022-23
✔️ Topics Covered In This Video : This video by Shivani Mam will provide detailed explanation of the chapter Three Dimensional Geometry. In this video, she will discuss and explain all the important concepts, NCERT Exercise solutions, MCQs and will also provide helpful tips on how to answer them during the exams. The video will help students to prepare for their upcoming board exams and score better in the examination.
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00:00 Introduction: Three Dimensional Geometry
00:47 Chapter 11: Three Dimensional Geometry
01:45 Exercise Introduction 11.1
03:58 Direction Cosines of a Line
18:58 Notes
23:29 Relation between direction cosines of line
24:30 Direction Ratio of a Line
30:28 How to find direction cosines when direction ratios are given
43:44 Direction cosines of a line passing through two points
01:18:59 Question 1 to 10: Exercise 11.1: (Page No. 467): Three Dimensional Geometry
Que. 1 If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines.
01:57:07 Exercise Introduction 11.2
02:02:50 Equation of a line in space
02:05:41 Equation of a line through a given point and parallel to a vector b given
02:17:57 Cartesian equation
02:33:54 Equation of a line passing through two given points
03:03:47 Shortest distance between two lines
03:17:29 Distance between parallel lines
03:47:12 Question 4 to 17: Exercise 11.2: (Page No. 477 & 478): Three Dimensional Geometry
05:26:27 Exercise Introduction 11.3
05:27:18 Plan
05:30:35 Equation of a plane in normal form
06:21:17 Vector Form
07:40:06 Coplanarity of Two Lines
07:51:48 Distance of a Point from a Plane
08:00:33 Plan in 3D
08:09:39 Question 1 to 14: Exercise 11.3: (Page No. 493): Three Dimensional Geometry
10:10:37 Question 1 to 10: Miscellaneous Exercise: (Page No. 497): Three Dimensional Geometry
Que. 1 Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1), (4, 3, -1).
11:31:14 Question 11 to 20: Miscellaneous Exercise: (Page No. 498): Three Dimensional Geometry
13:25:08 Question 21 to 23: Miscellaneous Exercise: (Page No. 498): Three Dimensional Geometry
13:36:09 Quick Recap
13:47:35 Question 1 to 10: Multiple Choice Questions (MCQs): Three Dimensional Geometry
Que. 1 If the directions cosines of a line are k, k, k then:
14:38:03 Question 11 to 15: Multiple Choice Questions (MCQs): Three Dimensional Geometry
14:56:08 Three Dimensional Geometry: Complete Chapter Revision
17:24:44 Website Overview
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