Class 9 Math Chapter 7 Coordinate Geometry – Complete Notes

 This post provides complete and easy notes for Class 9 Math Chapter 7 Coordinate Geometry. In this chapter, you will learn about coordinate plane, axes, origin, plotting points, and how to locate positions using coordinates.

Coordinate Geometry is an important chapter in Class 9 Mathematics that connects algebra with geometry. It helps students understand how to represent points on a graph using coordinates and solve problems visually.

In this article, you will learn the Cartesian plane, coordinates, distance formula, solved examples, and practice questions, along with a PDF download link.

📌 What is Coordinate Geometry?

Coordinate Geometry is the study of geometry using numbers and coordinates.

👉 It helps in:

Locating points on a graph

Understanding geometric shapes

Solving real-life problems

📌 Cartesian Plane

A Cartesian plane consists of two perpendicular axes:

X-axis (horizontal)

Y-axis (vertical)

👉 The point where they intersect is called the origin (0,0).

📌 Coordinates of a Point

A point is written as (x, y)

👉 Example: (3, 4) means:

Move 3 units along x-axis

Move 4 units along y-axis

📌 Quadrants

The plane is divided into 4 parts:

First Quadrant (+, +)

Second Quadrant (−, +)

Third Quadrant (−, −)

Fourth Quadrant (+, −)

📏 Distance Formula

👉 This formula is used to find the distance between two points.

📊 Solved Examples

✅ Example 1:

Find distance between (1,2) and (4,6)

👉 Solution:

d = √[(4−1)² + (6−2)²]

d = √[9 + 16]

d = √25 = 5

✅ Example 2:

Identify quadrant of point (−3, 2)

👉 Solution:

Negative x, positive y → Second quadrant

📝 Practice Questions

Define coordinate geometry

What is origin?

Find distance between (2,3) and (5,7)

Identify quadrant of (−2, −4)

Plot point (3, −2)

You can download the complete notes from the link below:

https://drive.google.com/file/d/1z8bWGHTG7lDzN3JFgeKl4Wa5x_UeHGAx/view?usp=drivesdk