NCERT Solution Class 12 Maths Chapter 11- Three Dimensional Geometry

NCERT Solution Class 12 Maths Chapter 11- Three Dimensional Geometry

The NCERT Solutions For Class 12 Maths Chapter 11 - Three Dimensional Geometry, of the Class 12 NCERT textbooks are available here. Looking around, we can observe that everything in the real world is in a three-dimensional shape. In this chapter, students learn about three-dimensional geometry in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.

The class 12 NCERT solutions for Three Dimensional Geometry are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the class 12 maths chapter 11 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

NCERT Solutions For Class 12 Maths Chapter 11

The major concepts of Maths covered in Chapter 11- Three Dimensional Geometry of NCERT Solutions for Class 12 includes:

  • 11.1 Introduction
  • 11.2 Direction Cosines and Direction Ratios of a Line
  • 11.2.1 Relation between the direction cosines of a line
  • 11.2.2 Direction cosines of a line passing through two points
  • 11.3 Equation of a Line in Space
  • 11.3.1 Equation of a line through a given point and parallel to a given vector b.
  • 11.3.2 Equation of a line passing through two given points
  • 11.4 Angle between Two Lines
  • 11.5 Shortest Distance between Two Lines
  • 11.5.1 Distance between two skew lines
  • 11.5.2 Distance between parallel lines
  • 11.6 Plane
  • 11.6.1 Equation of a plane in normal form
  • 11.6.2 Equation of a plane perpendicular to a given vector, passing through a given point
  • 11.6.3 Equation of a plane passing through three non-collinear points
  • 11.6.4 Intercept form of the equation of a plane
  • 11.6.5 Plane passing through the intersection of two given planes
  • 11.7 Coplanarity of Two Lines
  • 11.8 Angle between Two Planes
  • 11.9 Distance of a Point from a Plane
  • 11.10 Angle between a Line and a Plane


  1. Exercise 11.1 Solutions 5 Questions
  2. Exercise 11.2 Solutions 17 Questions
  3. Exercise 11.3 Solutions 14 Questions
  4. Miscellaneous Exercise On Chapter 11 Solutions 23 Questions

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