NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry PDF – is designed and prepared by the best teachers across India. All the important topics are covered in the exercises and each answer comes with a detailed explanation to help students understand concepts better. These NCERT Solutions for Class 12 Maths Chapter 11 play a crucial role in your preparation for all exams conducted by the CBSE, including the JEE.
CBSE NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry covers multiple exercises. The answer to each question in every exercise is provided along with complete, step-wise solutions for your better understanding. This will prove to be most helpful to you in your home assignments as well as practice sessions.
NCERT Solutions for Class 12 Maths Chapter 11
The topics and sub-topics included in the Three Dimensional Geometry chapter are the following:
|2||Direction Cosines and Direction Ratios of a Line|
|3||Relation between the direction cosines of a line|
|4||Direction cosines of a line passing through two points|
|5||Equation of a Line in Space|
|6||Equation of a line through a given point and parallel to a given vector|
|7||Equation of a line passing through two given points|
|8||Angle between Two Lines|
|9||Shortest Distance between Two Lines|
|10||Distance between two skew lines|
|11||Distance between parallel lines|
|13||Equation of a plane in normal form|
|14||Equation of a plane perpendicular to a given vector and passing through a given point|
|15||Equation of a plane passing through three non collinear points|
|16||Intercept form of the equation of a plane|
|17||Plane passing through the intersection of two given planes|
|18||Coplanarity of Two Lines|
|19||Angle between Two Planes|
|20||Distance of a Point from a Plane|
|21||Angle between a Line and a Plane.|
CBSE NCERT Solutions For Class 12 Maths Chapter 11 PDF Download
Candidates can download the NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry PDF for free study in offline mode. All the solutions provided in this page are solved by top academic experts of Embibe in order to help students in their studies.
NCERT Solutions For Class 12 Maths Chapter 11 – Three Dimensional Geometry NCERT Solutions
In Class XI, while studying Analytical Geometry in two dimensions, and the introduction to three-dimensional geometry, we confined to the Cartesian methods only. In the previous chapter of this book, we have studied some basic concepts of vectors. We will now use vector algebra to three-dimensional geometry. The purpose of this approach to 3-dimensional geometry is that it makes the study simple and elegant.
In this chapter, we shall study the direction cosines and direction ratios of a line joining two points and also discuss about the equations of lines and planes in space under different conditions, angle between two lines, two planes, a line and a plane, shortest distance between two skew lines and distance of a point from a plane. Most of the above results are obtained in vector form. Nevertheless, we shall also translate these results in the Cartesian form which, at times, presents a more clear geometric and analytic picture of the situation.
Embibe provides CBSE study material that covers the whole CBSE Class 12 syllabus for Maths. You can also solve Maths practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will also help you in your preparation of JEE as well.
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