NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry

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.

Three Dimensional Geometry is not an easy chapter and that is why you must keep class 11 chapter 12 Maths NCERT solutions very handy.

NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry

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.

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. 

You can download CBSE Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry from below.

Download NCERT Class 11 Maths Chapter 12 Solutions

What will you learn in CBSE Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry?

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.

  • Coordinates of a point lying on x-axis is given as-(x, 0, 0)
  • Coordinates of a point lying on y-axis is given as- (0, y, 0)
  • Coordinates of a point lying on z-axis is given as- (0, 0, z)
  • Coordinates of points lying on xy- (x, y, 0)
  • Coordinates of points lying on yz – plane- (0, y, z)
  • Coordinates of a point lying on xz – plane- (x, 0, z)
  • The reflection of the point (x, y, z) in xy – plane is (x, y, –z)
  • The reflection of the point (x, y, z) in plane yz is (–x, y, z)
  • The reflection of the point (x, y, z) in xz plane is (x,–y, z)

P is a point of the coordinates where the perpendicular distances of P from three coordinate planes are YZ, ZX and XY respectively.

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.

The sections of chapter 12 are given as follows:

Section Topic

  • 12 Introduction to Three Dimensional Geometry
  • 12.1 Introduction
  • 12.2 Coordinate Axes and Coordinate Planes in Three Dimensional Space
  • 12.3 Coordinates of a Point in Space
  • 12.4 Distance between Two Points
  • 12.5 Section Formula

Chapter 12 Maths solutions cover the following excercises. 

  • EXERCISE 12.1 – 4 Questions with Solutions
  • EXERCISE 12.2 – 5 Questions with Solutions
  • EXERCISE 12.3 – 5 Questions with Solutions. 

We have covered the complete guide on CBSE NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry. Feel free to ask us any questions in the comment section below.

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