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Coordinate Geometry — Revision Notes

Punjab Board · Class 9 · Mathematics

Coordinate Geometry revision notes for Punjab Board Class 9 Mathematics: 4 topics in quick points. Part of the Punjab Board Class 9 Mathematics syllabus.

45 questions25 flashcards2 formulas & key relations5 concepts

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Key Topics to Revise

1

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).
2

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.
3

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)
4

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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Full Notes

Key Concepts

The Cartesian system consists of twoThe XEvery point on the coordinate planeThe two axes divide the coordinateSpecial cases arise when points lie

Frequently Asked Questions

What are the important topics in Coordinate Geometry for Punjab Board Class 9 Mathematics?
Key topics in Coordinate Geometry include The Cartesian Plane – Building the Framework, Coordinates of a Point – Abscissa and Ordinate, Signs of Coordinates in Different Quadrants, Plotting Points on the Cartesian Plane – Step-by-Step. Study these first, then practise questions on each for Class 9 exams.
How should I revise Coordinate Geometry for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Coordinate Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Coordinate Geometry

All Punjab Board Class 9 Mathematics Revision Notes

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