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

 

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

In our previous classes, we studied the basic concepts of geometry in two-dimensional space. In this Chapter, we will study the basic concepts of geometry in three-dimensional space. This is a new chapter for students so it is important to pay careful attention while studying this chapter. There is a total of 14 questions in 3 exercises in this chapter. The NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry are solved by our subject experts to help students in their preparation of CBSE class 11 final examination and in various competitive exams like BITSAT, JEE Mains, etc.

The NCERT Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry explains what is 3D coordinate geometry, how a coordinate space can be determined. For example, P is the point in the YZ plane, the only coordinates include in this plane are coordinates from Y and Z planes and X coordinate will be zero. So the P point can be represented as P(0, Y, Z) in a YZ plane. In Chapter 12 Introduction to Three Dimensional Geometry, we will also learn Coordinates of a Point in Space,  the distance between two points and section formula.

To represent the position of a point in a plane let say XY-plane, we need two intersecting mutually perpendicular lines which are X-axis and Y-axis in the plane. These two lines are called coordinate axes and the two numbers which represent the position of a point are called the coordinates of the point. In real life, points are not only lying in a plane only. For example, consider the position of an aeroplane change with time when it flies from one place to another. So, to represent the perpendicular distances of the point from three planes which are mutually perpendicular, we need three numbers. These three numbers are called the coordinates of the point. So, a point in space has three coordinates. So, in NCERT Solutions for  Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry, we will study the basic concepts of geometry in three-dimensional space.

What is the 3D Coordinate Geometry?

In geometry, a 3D shape can be defined as an object or a solid figure or shape that has 3 dimensions length, width and height. Unlike 2D shapes, 3D shapes have depth or thickness. In three dimensional geometry, a coordinate space is determined by a vector perpendicular to that particular plane. Thus, a point in a three-dimensional plane will include the coordinates of three planes named as X- plane, Y- plane and Z-plane.                                        

Topics of NCERT Grade 11 Maths Chapter 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

The complete Solutions of NCERT Class 11 Mathematics Chapter 12 is provided below:

 

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