Coordinate Geometry
Uttarakhand Board · Class 9 · Mathematics
Quick revision notes for Coordinate Geometry — Uttarakhand Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction to Coordinate System
- To locate a point in a plane, we need two perpendicular reference lines
- Real-life examples: Street addresses (street number + house number), seating arrangements (row + column)
- The dot positioning activity shows that two independent pieces of information are needed to fix a point's position
Cartesian Coordinate System Components
- Two perpendicular number lines form the coordinate system
- Horizontal line is called x-axis (X'X), vertical line is called y-axis (Y'Y)
- The intersection point of axes is called origin O with coordinates (0,0)
Coordinates and Their Properties
- x-coordinate (abscissa): perpendicular distance from y-axis
- y-coordinate (ordinate): perpendicular distance from x-axis
- Coordinates are written as (x,y) - x first, then y
Signs of Coordinates in Different Quadrants
- Quadrant I: (+,+) - both coordinates positive
- Quadrant II: (-,+) - x negative, y positive
- Quadrant III: (-,-) - both coordinates negative
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Coordinate Geometry covers several key topics that are frequently asked in Uttarakhand Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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