Introduction to 3 dimensional Geometry Question Answers: NCERT Class 11 Mathematics

Welcome to the Chapter 12 - Introduction to 3 dimensional Geometry, Class 11 Mathematics - NCERT Solutions page. Here, we provide detailed question answers for Chapter 12 - Introduction to 3 dimensional Geometry.The page is designed to help students gain a thorough understanding of the concepts related to natural resources, their classification, and sustainable development.

Our solutions explain each answer in a simple and comprehensive way, making it easier for students to grasp key topics and excel in their exams. By going through these Introduction to 3 dimensional Geometry question answers, you can strengthen your foundation and improve your performance in Class 11 Mathematics. Whether you're revising or preparing for tests, this chapter-wise guide will serve as an invaluable resource.

After the knowledge of 2d geometry, it is time to add a new dimension to the geometry after that it is called 3d geometry. This is just an introduction but details of this chapter is in the next class. This chapter is for basics. This chapter consists of coordinate axis and coordinate planes in three dimensions, coordinates of a point, distance between two points and section formula.

Download PDF - Chapter 12 Introduction to 3 dimensional Geometry - Class 11 Mathematics

Download PDF - NCERT Examplar Solutions - Chapter 12 Introduction to 3 dimensional Geometry - Class 11 Mathematics

Exercise 1

  • Q1

    A point is on the x-axis. What are its y-coordinates and z-coordinates?

    Ans:

    If a point is on the x-axis, then its y-coordinates and z-coordinates are zero.


    Q2

    A point is in the XZ-plane. What can you say about its y-coordinate?

    Ans:

    If a point is in the XZ plane, then its y-coordinate is zero.


    Q3

    Name the octants in which the following points lie:

    (1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)

    Ans:

    The x-coordinate, y-coordinate, and z-coordinate of point (1, 2, 3) are all positive. Therefore, this point lies in octant I.

    The x-coordinate, y-coordinate, and z-coordinate of point (4, –2, 3) are positive, negative, and positive respectively. Therefore, this point lies in octant IV.

    The x-coordinate, y-coordinate, and z-coordinate of point (4, –2, –5) are positive, negative, and negative respectively. Therefore, this point lies in octant VIII.

    The x-coordinate, y-coordinate, and z-coordinate of point (4, 2, –5) are positive, positive, and negative respectively. Therefore, this point lies in octant V.

    The x-coordinate, y-coordinate, and z-coordinate of point (–4, 2, –5) are negative, positive, and negative respectively. Therefore, this point lies in octant VI.

    The x-coordinate, y-coordinate, and z-coordinate of point (–4, 2, 5) are negative, positive, and positive respectively. Therefore, this point lies in octant II.

    The x-coordinate, y-coordinate, and z-coordinate of point (–3, –1, 6) are negative, negative, and positive respectively. Therefore, this point lies in octant III.

    The x-coordinate, y-coordinate, and z-coordinate of point (2, –4, –7) are positive, negative, and negative respectively. Therefore, this point lies in octant VIII.


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