Brand Logo
LoginDownload App
Search
Brand Logo

Edzy for Classes 6-12

Edzy is a personal AI tutor for CBSE and State Board students, with curriculum-aligned guidance, practice, revision, and study plans that adapt to each learner.

  • Email: always@edzy.ai
  • Phone: +91 96256 68472
  • WhatsApp: +91 96256 68472
  • Address: Sector 63, Gurgaon, Haryana

Follow Edzy

Browse by Class

  • CBSE Class 6
  • CBSE Class 7
  • CBSE Class 8
  • CBSE Class 9
  • CBSE Class 10
  • CBSE Class 11
  • CBSE Class 12
Explore the CBSE resource hub

Explore Edzy

  • Study Resources
  • Free Study Tools
  • Best Apps for Board Exams
  • Edzy vs ChatGPT
  • About Us
  • Why We Built Edzy
  • Blog
  • CBSE AI Tutor

Support & Legal

  • Help & FAQs
  • Accessibility
  • Privacy Policy
  • Terms & Conditions
  • Refund Policy
  • Cookie Policy
  • Site Directory

© 2026 Edzy. All rights reserved.

Curriculum-aligned learning paths for students in Classes 6-12.

Chapter Hub

COORDINATE GEOMETRY

The chapter 'Coordinate Geometry' introduces the fundamental concepts of representing points in a two-dimensional space using a Cartesian system. It explains how to describe the position of points using x and y coordinates derived from their distances from the axes.

Summary, practice, and revision
CBSE
Class 9
Mathematics
Mathematics

COORDINATE GEOMETRY

Chapter Summary

Playing 00:00 / 00:00

Download NCERT Chapter PDF for COORDINATE GEOMETRY – Latest Edition

Access Free NCERT PDFs & Study Material on Edzy – Official, Anytime, Anywhere

Live Challenge Mode

Ready to Duel?

Challenge friends on the same chapter, answer fast, and sharpen your concepts in a focused 1v1 battle.

NCERT-aligned questions
Perfect for friends and classmates

Why start now

Quick, competitive practice with instant momentum and zero setup.

More about chapter "COORDINATE GEOMETRY"

In this chapter, students explore the essential principles of Coordinate Geometry, which allows for the precise description of points in a plane using a system established by René Descartes. The chapter begins with the introduction of locating points with reference to two perpendicular lines—a horizontal x-axis and a vertical y-axis—collectively forming the Cartesian plane. Examples illustrate how two coordinates (x, y) specify each point's location uniquely, reinforcing the importance of understanding quadrants, the origin, and the relationships between points. Engaging activities and exercises promote practical application of these concepts, fostering students' skills in identifying and working with coordinates effectively. The chapter concludes with a summary highlighting key concepts and their significance in mathematics.
Learn Better On The App
A clearer daily roadmap

Your Study Plan, Ready

Start every day with a clear learning path tailored to what matters next.

Daily plan
Less decision fatigue

Faster access to practice, revision, and daily study flow.

Edzy mobile app preview

Coordinate Geometry - Class 9 Mathematics

Explore the chapter on Coordinate Geometry designed for Class 9 students. Understand the Cartesian system, the significance of coordinates, and how to represent points in a two-dimensional space.

Coordinate Geometry is a branch of mathematics that studies geometric figures through a coordinate system, where every point is represented by a pair of numbers (x, y). This chapter emphasizes how to locate points in a two-dimensional space, making it easier to analyze shapes and lines.
The Cartesian coordinate system was developed by René Descartes in the 17th century. He devised this method to represent points in a plane by using perpendicular lines called axes, which allow us to specify the position of a point with two coordinates.
The x-axis is the horizontal line in the Cartesian coordinate system, while the y-axis is the vertical line. These axes intersect at the origin (0,0) and allow the identification of points in a two-dimensional plane by their respective distances from these lines.
The origin is the point where the x-axis and the y-axis intersect in a Cartesian coordinate system. It is denoted by the coordinates (0, 0) and serves as the reference point for measuring distances along the axes.
To find the coordinates of a point, identify its distances from the x-axis and the y-axis. The x-coordinate represents the distance from the y-axis, while the y-coordinate indicates the distance from the x-axis. These two measurements give the point's specific location as (x, y).
A coordinate plane is divided into four quadrants based on the signs of the x and y coordinates. Quadrant I contains positive coordinates, Quadrant II has a negative x-coordinate and a positive y-coordinate, Quadrant III has negative coordinates for both axes, and Quadrant IV has a positive x-coordinate and a negative y-coordinate.
Certainly! For example, the coordinates (3, 4) mean that the point is located 3 units to the right of the y-axis and 4 units above the x-axis. This positioning allows for clear identification of the point's location within the coordinate plane.
Understanding Coordinate Geometry is fundamental for more advanced mathematics, as it provides tools for analyzing geometric shapes, solving problems involving distances and areas, and is widely used in fields such as engineering, physics, and computer graphics.
The distance between two points in the coordinate plane, say A(x1, y1) and B(x2, y2), can be calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]. This formula derives from the Pythagorean theorem.
In a coordinate pair (x, y), the x-coordinate is called the abscissa, representing the horizontal distance from the y-axis. The y-coordinate is called the ordinate, representing the vertical distance from the x-axis.
The Cartesian coordinate system is applied in various real-world contexts, such as mapping locations on a grid, directing movements in navigation systems, and graphing data in statistics or business analytics.
An example of a classroom activity could be creating a seating plan where students represent their location as points on a grid. Each point will identify their row and column, allowing for practical understanding of coordinates.
The significance of x and y coordinates lies in their ability to uniquely describe the position of a point in a two-dimensional space. This unique identification is crucial for mathematical accuracy in geometry and various applications.
A Cartesian plane is a two-dimensional surface defined by an x-axis and a y-axis that intersect at the origin. It is used to graph points, lines, and curves, allowing for a visual representation of algebraic equations.
Points in the Cartesian plane are labeled using their coordinates in the form (x, y). Each coordinate indicates a specific position in relation to the axes, where the first number represents the x-coordinate and the second number represents the y-coordinate.
A point of intersection occurs where two lines or curves meet on the Cartesian plane. This point can be uniquely determined by the coordinates that satisfy the equations of both lines.
Distances in Coordinate Geometry can be measured using the distance formula, which calculates the length between two points based on their coordinates. Additionally, horizontal and vertical distances can be measured along the axes for right triangle analysis.
If the coordinates are reversed, for example changing (x, y) to (y, x), the point's position on the Cartesian plane will change unless x and y are equal. It will be located in a different quadrant or on a different location compared to the original point.
To graph a point such as (2, 3), start at the origin (0, 0). Move 2 units to the right along the x-axis to reach x = 2, then move 3 units up to reach y = 3. Mark the point where you land. This represents the point (2, 3) on the graph.
To identify which quadrant a point lies in, examine the signs of its coordinates. Points with both x and y positive are in Quadrant I, those with x negative and y positive in Quadrant II, x negative and y negative in Quadrant III, and x positive and y negative in Quadrant IV.
The midpoint M between two points A(x1, y1) and B(x2, y2) is given by the formula M = ((x1+x2)/2, (y1+y2)/2). This results in the average of the x-coordinates and the y-coordinates.
Yes, parentheses are necessary when writing coordinates to clearly indicate the related x and y coordinates of a point, ensuring that the interpretation of data as pairs is maintained correctly.
Plotting points on a coordinate plane relates to solving equations by visually representing solutions. Each point that corresponds to a solution of an equation can help visualize the graph of the equation and understand its behavior.

Chapters related to "COORDINATE GEOMETRY"

NUMBER SYSTEMS

This chapter introduces the number system, covering types of numbers such as natural, whole, integers, rational, and irrational numbers.

Start chapter

POLYNOMIALS

This chapter introduces polynomials, their types, and essential theorems for factorization, essential for solving algebraic equations.

Start chapter

LINEAR EQUATIONS IN TWO VARIABLES

This chapter introduces linear equations in two variables, expanding on previous knowledge of equations with one variable. Understanding these equations is crucial for solving real-world problems.

Start chapter

INTRODUCTION TO EUCLID’S GEOMETRY

This chapter explores the foundations of geometry as established by Euclid, including key concepts like definitions, axioms, and postulates that shape geometric reasoning.

Start chapter

LINES AND ANGLES

This chapter covers the properties of angles formed by intersecting lines and parallel lines. Understanding these properties is essential for geometry and real-life applications such as architecture.

Start chapter

TRIANGLES

This chapter explains triangles, their properties, and the concept of congruence. Understanding triangles is essential in geometry as they form the basis for many other shapes and concepts.

Start chapter

QUADRILATERALS

This chapter covers the properties of quadrilaterals, particularly parallelograms. Understanding these concepts is crucial as they form the foundation for geometry and various real-world applications.

Start chapter

CIRCLES

This chapter introduces key concepts related to circles, including angles formed by chords and arcs, and the properties of cyclic quadrilaterals.

Start chapter

HERON’S FORMULA

This chapter explains Heron’s Formula, which allows you to find the area of a triangle using the lengths of its sides without needing the height.

Start chapter

SURFACE AREAS AND VOLUMES

This chapter covers the surface areas and volumes of various three-dimensional shapes, essential for understanding geometry and real-world applications.

Start chapter

COORDINATE GEOMETRY Summary, Important Questions & Solutions | All Subjects

Question Bank

Worksheet

Revision Guide

Formula Sheet