Co-Ordinate Geometry — Chapter Summary
Telangana Board · Class 9 · Mathematics
Summary of Co-Ordinate Geometry for Telangana Board Class 9 Mathematics. Part of the Telangana Board Class 9 Mathematics syllabus.
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Overview
Co-ordinate Geometry is a branch of mathematics that combines algebra and geometry by using coordinates to represent points on a plane. Developed by René Descartes, this system allows us to locate any point uniquely using two references - the x-coordinate (abscissa) and y-coordinate (ordinate). Just
Key Concepts
To locate a point exactly on
To locate a point exactly on a plane, we need two references. For example, if a teacher says 'mark a point 6 cm from the left edge', infinite points a
Named after René Descartes
Named after René Descartes, this system uses two perpendicular number lines: X-axis (horizontal) and Y-axis (vertical) intersecting at origin O(0,0).
The coordinate plane is divided into
The coordinate plane is divided into four regions: Q1 (both coordinates positive), Q2 (x negative, y positive), Q3 (both coordinates negative), Q4 (x
Every point is represented as (x
Every point is represented as (x,y) where x is the abscissa (distance from Y-axis) and y is the ordinate (distance from X-axis). The order matters: (4
To plot point P(4
To plot point P(4,6): Start at origin O, move 4 units right along X-axis, then 6 units up parallel to Y-axis. For negative coordinates, move in opposi
Learning Objectives
- Understand the need for two references to locate a point in a plane
- Learn about the Cartesian coordinate system with X-axis and Y-axis
- Identify and understand the four quadrants and their properties
- Learn to read coordinates of points marked on a coordinate plane
- Master the skill of plotting points when coordinates are given
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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