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Chapter Summary

Co-ordinate Geometry — Chapter Summary

ICSE · Class 9 · Mathematics

Summary of Co-ordinate Geometry for ICSE Class 9 Mathematics. Part of the ICSE Class 9 Mathematics syllabus. Co-ordinate Geometry is the branch.

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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Overview

Co-ordinate Geometry is the branch of mathematics in which a pair of two numbers, called co-ordinates, is used to represent the position of a point with respect to two mutually perpendicular number lines called co-ordinate axes. The horizontal number line is the x-axis, the vertical number line is t

Key Concepts

An ordered pair is a pair

An ordered pair is a pair of two numbers written in a fixed order, such as (a, b). The first component is the abscissa and the second component is the

A cartesian plane consists of two

A cartesian plane consists of two mutually perpendicular number lines intersecting at their zeros. The x-axis is the horizontal number line, the y-axi

The axes divide the plane into

The axes divide the plane into four quadrants. In the first quadrant both abscissa and ordinate are positive. In the second quadrant the abscissa is n

A point on the x

A point on the x-axis has ordinate zero, so its coordinates are of the form (x, 0). A point on the y-axis has abscissa zero, so its coordinates are of

To plot a point

To plot a point, first move along the x-axis from the origin, then move parallel to the y-axis. For example, to plot A(4,2), move 4 units along positi

Learning Objectives

  • Understand how a point is represented by an ordered pair on the cartesian plane.
  • Identify the x-axis, y-axis, origin, and the four quadrants.
  • Use the correct sign convention in each quadrant.
  • Plot points by moving along the x-axis first and then parallel to the y-axis.
  • Recognise points on the axes using the forms (x, 0) and (0, y).

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 Chapter Summary

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