NCERT Solution Class 11 Chapter 12- Introduction to Three Dimensional Geometry

NCERT Solutions For Class 11 Maths Chapter 12 PDF Free Download

The NCERT solutions for the questions given in Chapter 12, Introduction to Three Dimensional Geometry, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Introduction to 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 11 NCERT solutions for Introduction to 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 11 maths Chapter 12 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.

Download PDF of NCERT Solutions for Class 11 Maths Chapter 12- Introduction to Three Dimensional Geometry

Access Answers of Maths NCERT Class 11 Chapter 12- Introduction to Three Dimensional Geometry

NCERT Solution For Class 11 Maths Chapter 12 Introduction to 3D Geometry part 01
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NCERT Solutions for Class 11 Maths Chapter 12- Introduction to Three Dimensional Geometry

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

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

Exercise 12.1 Solutions 4 Questions

Exercise 12.2 Solutions 5 Questions

Exercise 12.3 Solutions 5 Questions

Miscellaneous Exercise On Chapter 12 Solutions 6 Questions

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

The chapter Introduction to Three Dimensional Geometry belongs to the unit Coordinate Geometry, that adds up to 10 marks of the total 80 marks. There are 3 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Introduction to Three Dimensional Geometry clearly. Some of the topics discussed in Chapter 12 of NCERT Solutions for Class 11 Maths are as follows:

  1. In three dimensions, the coordinate axes of a rectangular Cartesian coordinate system are three mutually perpendicular lines. The axes are called the x, y and z-axes.
  2. The three planes determined by the pair of axes are the coordinate planes, called XY, YZ and ZX-planes.
  3. The three coordinate planes divide the space into eight parts known as octants.
  4. The coordinates of a point P in three dimensional geometry is always written in the form of triplet like (x, y, z). Here x, y and z are the distances from the YZ, ZX and XY-planes.
  5. (i) Any point on the x-axis is of the form (x, 0, 0)

    (ii) Any point on y-axis is of the form (0, y, 0)

    (iii) Any point on z-axis is of the form (0, 0, z).

  1. Distance between two points P(x1 , y1 , z 1 ) and Q (x2 , y2 , z 2 ).
  2. The coordinates of the point R which divides the line segment joining two points P (x1,y1,z1) and Q (x2,y2,z2) internally and externally in the ratio m : n.
  3. The coordinates of the mid-point of the line segment joining two points.
  4. The coordinates of the centroid of the triangle.

Key Features of NCERT Solutions for Class 11 Maths Chapter 12- Introduction to Three Dimensional Geometry

Studying the Introduction to Three Dimensional Geometry of Class 11 enables the students to understand the following:

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

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