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Introduction to Three Dimensional Geometry — Chapter Summary

CBSE · Class 11 · Mathematics

Summary of Introduction to Three Dimensional Geometry for CBSE Class 11 Mathematics. Part of the CBSE Class 11 Mathematics syllabus.

162 questions48 flashcards2 formulas & key relations5 concepts

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Overview

Three dimensional geometry studies the position of points in space using three mutually perpendicular coordinate axes and three coordinate planes. A point in space is described by an ordered triplet of real numbers, written as (x, y, z). These three numbers give the perpendicular distances from the

Key Concepts

Three mutually perpendicular lines intersect at

Three mutually perpendicular lines intersect at the origin and are called the x-axis, y-axis, and z-axis. They form the basic reference system for loc

The XY

The XY-plane, YZ-plane, and ZX-plane are formed by pairs of coordinate axes. Together they divide space into octants.

The origin is the point where

The origin is the point where all three axes meet. Its coordinates are (0,0,0).

For a point P(x

For a point P(x,y,z), x, y, and z are the perpendicular distances from the YZ-plane, ZX-plane, and XY-plane respectively.

The three coordinate planes divide space

The three coordinate planes divide space into eight parts known as octants, denoted by roman numerals I to VIII. The sign pattern of x, y, and z deter

Learning Objectives

  • Understand the rectangular coordinate system in three-dimensional space.
  • Identify the x-axis, y-axis, z-axis, and the three coordinate planes.
  • Locate points in different octants using the signs of x, y, and z.
  • Write the coordinates of points on the axes and coordinate planes.
  • Use the distance formula to find the distance between two points in space.

Frequently Asked Questions

What are the important topics in Introduction to Three Dimensional Geometry for CBSE Class 11 Mathematics?
Key topics in Introduction to Three Dimensional Geometry include Coordinate Axes, Coordinate Planes, and Octants, Coordinates of a Point in Space, Distance Between Two Points in Space, Worked Examples and Important Results. Study these first, then practise questions on each for Class 11 exams.
How should I revise Introduction to Three Dimensional Geometry for Class 11 exams?
Learn the core ideas first, then work through the 162 practice questions on Introduction to Three Dimensional Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Introduction to Three Dimensional Geometry

All CBSE Class 11 Mathematics Chapter Summary

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