Coordinate Geometry
Gujarat Board · Class 9 · Mathematics
Quick revision notes for Coordinate Geometry — Gujarat Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Introduction to Position and Location
- To locate a point in a plane, we need two independent pieces of information
- Real-life examples include house addresses (street number + house number) and seating plans (row + column)
- A single reference point is insufficient to precisely locate a position in a plane
The Cartesian System
- Named after René Descartes, the French mathematician who developed this system
- Consists of two perpendicular number lines intersecting at their origins
- The horizontal line is called the x-axis, the vertical line is called the y-axis
Coordinates of a Point
- Every point in the Cartesian plane has unique coordinates (x,y)
- x-coordinate (abscissa): perpendicular distance from y-axis
- y-coordinate (ordinate): perpendicular distance from x-axis
Points on Axes and Quadrants
- Points on x-axis have coordinates (x,0) where y-coordinate is always 0
- Points on y-axis have coordinates (0,y) where x-coordinate is always 0
- Origin has coordinates (0,0)
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