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Revision Notes

Co-ordinate Geometry — Revision Notes

ICSE · Class 9 · Mathematics

Co-ordinate Geometry revision notes for ICSE Class 9 Mathematics: 4 topics in quick points. Part of the ICSE Class 9 Mathematics syllabus.

37 questions28 flashcards4 formulas & key relations5 concepts

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A diagram illustrating the basic concept of coordinate geometry, showing how a point's position is represented by a pair of numbers (coordinates) relative to two perpendicular number lines.
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Key Topics to Revise

1

1. Basic Ideas: Co-ordinates, Ordered Pairs, and Axes

  • A pair of two numbers is used to show the position of a point.
  • An ordered pair has a fixed order: (5,7) and (7,5) are different.
  • The first component is the abscissa and the second component is the ordinate.
2

2. Quadrants and Sign Convention

  • The axes divide the plane into four quadrants.
  • Quadrants are named from OX in the anti-clockwise direction.
  • First quadrant: both abscissa and ordinate are positive.
3

3. Points on the Axes

  • A point on the x-axis has ordinate zero, so its form is (x, 0).
  • A point on the y-axis has abscissa zero, so its form is (0, y).
  • The origin is the only point common to both axes.
4

4. Linear Equations, Dependence, and Graphs

  • If the graph of an equation is a straight line, the equation is called a linear equation.
  • In an equation written with y as the subject, y is the dependent variable and x is the independent variable.
  • In an equation written with x as the subject, x is the dependent variable and y is the independent variable.

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Full Notes

Key Concepts

An ordered pair is a pairA cartesian plane consists of twoThe axes divide the plane intoA point on the xTo plot a point

Frequently Asked Questions

What are the important topics in Co-ordinate Geometry for ICSE Class 9 Mathematics?
Key topics in Co-ordinate Geometry include Basic Ideas: Co-ordinates, Ordered Pairs, and Axes, Quadrants and Sign Convention, Points on the Axes, Linear Equations, Dependence, and Graphs. Study these first, then practise questions on each for Class 9 exams.
How should I revise Co-ordinate Geometry for Class 9 exams?
Learn the core ideas first, then work through the 37 practice questions on Co-ordinate 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 Co-ordinate Geometry

All ICSE Class 9 Mathematics Revision Notes

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