Introduction to Three Dimensional Geometry
CBSE · Class 11 · Mathematics
Summary of Introduction to Three Dimensional Geometry for CBSE Class 11 Mathematics. Key concepts, important points, and chapter overview.
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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.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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