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Coordinate Geometry — Revision Notes

Gujarat Board · Class 9 · Mathematics

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

45 questions5 concepts

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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Key Topics to Revise

1

Why Do We Need Two References? — The Basic Idea

  • To locate a point on a NUMBER LINE, one number (distance from origin) is enough.
  • To locate a point on a PLANE (flat surface), we need TWO numbers — one for each direction.
  • Example: To find a friend's house, knowing only the street name is NOT enough. You also need the house number. Similarly, a point in a plane needs TWO coordinates.
2

The Cartesian Plane — Axes, Origin, and Quadrants

  • Two number lines are placed PERPENDICULAR to each other on a plane.
  • The HORIZONTAL number line is called the X-AXIS (also written as X'OX).
  • The VERTICAL number line is called the Y-AXIS (also written as Y'OY).
3

Coordinates of a Point — Abscissa and Ordinate

  • Every point in the Cartesian plane has an ADDRESS called its COORDINATES, written as (x, y).
  • The X-COORDINATE (also called ABSCISSA) of a point = its perpendicular distance from the Y-axis, measured along the X-axis.
  • The Y-COORDINATE (also called ORDINATE) of a point = its perpendicular distance from the X-axis, measured along the Y-axis.
4

Signs of Coordinates in Each Quadrant

  • The sign (+ or -) of each coordinate depends on which QUADRANT the point lies in.
  • QUADRANT I (top-right): Both x and y are POSITIVE → (+, +)
  • QUADRANT II (top-left): x is NEGATIVE, y is POSITIVE → (-, +)

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Full Notes

Key Concepts

The Cartesian coordinate system consistsThe origin is the point whereThe xThe yThe coordinates of a point

Frequently Asked Questions

What are the important topics in Coordinate Geometry for Gujarat Board Class 9 Mathematics?
Key topics in Coordinate Geometry include Why Do We Need Two References? — The Basic Idea, The Cartesian Plane — Axes, Origin, and Quadrants, Coordinates of a Point — Abscissa and Ordinate, Signs of Coordinates in Each Quadrant. 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 Gujarat Board Class 9 Mathematics Revision Notes

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