You are learning...

Chapter 11 Class 11 - Intro to Three Dimensional Geometry

Click on any of the links below to start learning from Teachoo...

Updated according to new NCERT - NCERT Book for 2023-2024 Batch.

Get solutions of all NCERT Questions, Examples and Miscellaneous Exercises of Chapter 11 Class 11 Introduction to Three Dimensional Geometry free at teachoo. Answers to all the questions are explained in a step by step manner. All answers are prepared by Davneet Singh.

 

Let's see what this chapter is all about.

 

In Coordinate Geometry of Class 10, we studied x and y axes, and points on the graph.

But, in real life, there are x, y and z axes, that is 3 Dimensions.

Imagine you are in a room. From the corner, we can see 1 line going upwards, one going towards the left, and one moving towards us. Those are the x-axis, y-axis and z-axis.

 

In this chapter

  • We will learn about x, y, z axis,
  • the 8 octants
  • and the coordinates of points in a 3-Dimensional Space
  • We see that
    • Any point on x-axis is of the form (x, 0, 0)
    • Any point on y-axis is of the form (0, y, 0)
    • Any point on z-axis is of the form (0, 0, z).
  • We will also learn the Distance formula for 3D points, and do some questions
  • Then, we will see section formula for points of the type (x, y, z), both internal and external division

 

Click on an exercise or topic link below to start

Serial order wise

  Ex 11.1
  Ex 11.2
  Examples
  Miscellaneous
  Section Formula in 3D Geometry

Concept wise

  Definition
  Distance between two points - Defination
  Distance between two points - Collinear
  Distance between two points - Verifying
  Distance between two points - Set of points
  Section - Defination
  Section - Collinear
  Section - Plane dividing line segement
  Section - Centroid
  Section - Median

What's in it?

Updated according to new NCERT - NCERT Book for 2023-2024 Batch.

Get solutions of all NCERT Questions, Examples and Miscellaneous Exercises of Chapter 11 Class 11 Introduction to Three Dimensional Geometry free at teachoo. Answers to all the questions are explained in a step by step manner. All answers are prepared by Davneet Singh.

 

Let's see what this chapter is all about.

 

In Coordinate Geometry of Class 10, we studied x and y axes, and points on the graph.

But, in real life, there are x, y and z axes, that is 3 Dimensions.

Imagine you are in a room. From the corner, we can see 1 line going upwards, one going towards the left, and one moving towards us. Those are the x-axis, y-axis and z-axis.

 

In this chapter

  • We will learn about x, y, z axis,
  • the 8 octants
  • and the coordinates of points in a 3-Dimensional Space
  • We see that
    • Any point on x-axis is of the form (x, 0, 0)
    • Any point on y-axis is of the form (0, y, 0)
    • Any point on z-axis is of the form (0, 0, z).
  • We will also learn the Distance formula for 3D points, and do some questions
  • Then, we will see section formula for points of the type (x, y, z), both internal and external division

 

Click on an exercise or topic link below to start