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## CBSE Class 9 Maths Notes Chapter 6 Coordinate Geometry

**Coordinate Geometry Class 9 Notes Chapter 6**

1. **Cartesian System:** The system used to describe the position of a point in a plane is called the cartesian system.

In a cartesian system, there are two perpendicular lines and a point is located by referring them. The horizontal line XX’ is called X-axis and vertical line YY’ is called Y-axis.

The point where these lines intersect each other is called origin and is denoted by â€˜Oâ€™. OX and OY are called positive directions while OX’ and OY’ are called negative directions. These axes divide the plane into four parts.

These four parts are called the quadrants (one-fourth part) numbered I, II, III and IV anti-clockwise from OX. So, the plane consists of these axes and these quadrants are called the cartesian plane or the coordinate plane or the XY-plane. These axes are called the coordinate axes.

**Coordinate Geometry Notes Class 9 Chapter 6**

The coordinates of a point are written by using the following conventions

(i) The x-coordinate of a point is its perpendicular distance from the Y-axis measured along the X-axis (positive along the positive direction of the X-axis and negative along the negative direction of the X-axis). The x-coordinate is also called the abscissa.

(ii) The Y-coordinates of a point is its perpendicular distance from the X-axis measured along the Y-axis (positive along the positive direction of the Y-axis and negative along the negative direction of the Y-axis). The Y-coordinate is also called the ordinate.

(iii) In stating the coordinates of a point in the coordinate plane, the x-coordinate comes first and then the Y-coordinate. We place the coordinates in brackets.

**Coordinate Geometry Class 9 Notes Pdf Chapter 6**

2. The relationship between the Signs of the Coordinates of a Point and the Quadrant in which It Lies

(i) If a point is in the 1st quadrant, then the point will be in the form (+, +), since the 1st quadrant is enclosed by the positive X-axis and the positive Y-axis.

(ii) If a point is in the Ilnd quadrant, then the point will be in the form (-, +), since the Ilnd quadrant is enclosed by the negative X-axis and the positive Y-axis.

(iii) If a point is in the Illrd quadrant, then the point will be in the form (-, -), since the Illrd quadrant is enclosed by the negative X-axis and the negative Y-axis.

(iv) If a point is in the IVth quadrant, then the point will be in the form (+, -), since the IVth quadrant is enclosed by the positive X-axis and the negative Y-axis (see figure).

**Note:** The coordinates of origin O are (0, 0) because it has zero distance from both the axes, so its abscissa and ordinate both are zero.

**Class 9 Coordinate Geometry Notes Chapter 6**

### NCERT Notes for Class 9 Maths

- Chapter 1 Number Systems Class 9 Notes
- Chapter 2 Polynomials Class 9 Notes
- Chapter 3 Introduction to Euclid’s Geometry Class 9 Notes
- Chapter 4 Lines and Angles Class 9 Notes
- Chapter 5 Triangles Class 9 Notes
- Chapter 6Â Coordinate Geometry Class 9 Notes
- Chapter 7 Heron’s Formula Class 9 Notes
- Chapter 8Â Linear Equations in Two Variables Class 9 Notes
- Chapter 9 Quadrilaterals Class 9 Notes
- Chapter 10 Areas of Parallelograms and Triangles Class 9 Notes
- Chapter 11 Circles Class 9 Notes
- Chapter 12 Constructions Class 9 Notes
- Chapter 13 Surface Areas and Volumes Class 9 Notes
- Chapter 14 Statistics Class 9 Notes
- Chapter 15 Probability Class 9 Notes

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