Coordinate Geometry
Punjab Board · Class 9 · Mathematics
Complete topic list for Coordinate Geometry in Punjab Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Coordinate Geometry
The Cartesian Plane – Building the Framework
- Two perpendicular number lines are drawn on a plane – one horizontal and one vertical.
- The horizontal line is called the x-axis (also written as X'X).
- The vertical line is called the y-axis (also written as Y'Y).
Coordinates of a Point – Abscissa and Ordinate
- Every point in the Cartesian plane is described by an ordered pair of numbers (x, y) called its coordinates.
- The x-coordinate (abscissa) is the perpendicular distance of the point from the y-axis, measured along the x-axis.
- The y-coordinate (ordinate) is the perpendicular distance of the point from the x-axis, measured along the y-axis.
Signs of Coordinates in Different Quadrants
- Quadrant I: Both x and y are positive → (+, +). Example: (3, 5)
- Quadrant II: x is negative, y is positive → (−, +). Example: (−4, 2)
- Quadrant III: Both x and y are negative → (−, −). Example: (−3, −7)
Plotting Points on the Cartesian Plane – Step-by-Step
- Step 1: Draw the x-axis (horizontal) and y-axis (vertical) intersecting at origin O.
- Step 2: Mark equal units on both axes.
- Step 3: To plot point (a, b) – start at origin, move 'a' units along x-axis (right if positive, left if negative).
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