NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.1 Introduction to Three Dimensional Geometry - PDF Download

NCERT solutions for class 11 maths chapter 11 exercise 11.1 Introduction to three dimensional geometry states that if three planes meet at a point 'O' in such a manner that they are perpendicular to one another, then they tend to intersect each other along the x-axis, y-axis, and z-axis. This is illustrated in the chapter through the use of diagrams to assist students in comprehending the visual aspects of the system. The axes are connected to form a rectangular coordinate system composed of XY-planes, YZplanes, and ZX planes.

Class 11 maths chapter 11 exercise 11.1 NCERT solutions is composed of 4 questions, 3 of which are fill in the blank type questions, and the remaining three are short answer type questions. Ex 11.1 class 11 maths chapter 11 solutions are prepared by the academic team of mathematics. By practicing with these solutions you can build a strong foundation for chapter 11 and score good marks in exams. Ex 11.1 class 11 maths solutions are also provided here in free PDF format. You can download the PDF from eSaral website and practice all the questions offline. 

Topics Covered in Exercise 11.1 Class 11 Mathematics Questions

Ex 11.1 class 11 maths ch 11 Introduction to three dimensional geometry covers some essential topics like coordinate axes and coordinate planes in three dimensional space and coordinates of a point in space. Here, we have explained each topic in detail for you to understand the questions easily.

1. Coordinate Axes and Coordinate Planes in Three Dimensional Space

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.

The three planes determined by the pair of axes are the coordinate planes, called XY, YZ and ZX-planes.

The point at which all planes intersect is referred to as the origin.

The three coordinate planes divide the space into eight parts known as octants.

2. Coordinates of a Point in Space

Any point in three-dimensional space is supposed to have three coordinates that represent the x, y and z coordinates. To any point in space, there is an ordered triplet of x, y, z that indicates the location of that point in space. 

The coordinates of the origin O are (0,0,0). The coordinates of any point on the x-axis will be as (x,0,0) and the coordinates of any point in the YZ-plane will be as (0, y, z).

Tips for Solving Exercise 11.1 Class 11 Chapter 11 Introduction to Three Dimensional Geometry

NCERT Solutions Class 11 Maths Chapter 11 Ex 11.1 Introducing To 3 Dimensional Geometry Students need to have a good understanding of coordinate geometry in 2D; only then will they be able to understand the concept of 3D space. To solve ex 11.1 class 11 maths questions, you need to follow some essential tips provided by subject experts of eSaral.

1. Students are required to visualise three-dimensional geometries through practical examples, for which they can use NCERT solutions class 11 maths chapter 11 provided by eSaral.

2. NCERT solutions class 11 maths chapter 11 ex 11.1 includes illustrative diagrams for students to comprehend the concept of reference to three-dimensional space, students must go through these solutions to solve exercise questions. 

3. Students should also attempt to draw the diagrams to gain practice on the position of coordinates of any point in space.

Importance of Solving Ex 11.1 Class 11 Maths Chapter 11 Introduction to Three Dimensional Geometry

By solving questions of ex 11.1 class 11 maths chapter 11 NCERT solutions, you will get numerous benefits. Here, our expert teachers have provided some benefits that you can check below.

1. You should first read the theory of coordinate axes and coordinate planes in three dimensional space associated with ex 11.1 to solve all the questions that will clear your understanding of concepts.

2. NCERT solutions class 11 maths chapter 11 ex 11.1 are solved by subject experts of eSaral with step by step manner.

3. NCERT solutions PDF for chapter 11 ex 11.1 has questions along with their answers that will help you to cross check your answers.

4. Revising concepts and questions of ex 11.1 class 11 maths chapter 11 will improve your speed to solve questions in exams as well.

Frequently Asked Questions

Question 1. What are the octants of three-dimensional geometry?

Answer 1. The three coordinate planes divide the space into eight parts known as octants.

Question 2. What are the three coordinate planes in three-dimensional geometry?

Answer 2. The three planes determined by the pair of axes are the coordinate planes, called XY, YZ and ZX-planes.