RS Aggarwal Solutions Class 9 Maths Chapter 5 Coordinate Geometry (Updated For 2024)

RS Aggarwal Solutions Class 9 Maths Chapter 5 Coordinate Geometry: Class 9 Maths is made easier, all thanks to the RS Aggarwal Solutions Class 9 Maths. All the solutions of RS Aggarwal Solutions Class 9 Maths Chapter 5 Coordinate Geometry are designed in a way that is easy to understand, well-explained, and very accurate, all thanks to the subject matter experts.

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RS Aggarwal Solutions Class 9 Maths Chapter 5 Coordinate Geometry

RS Aggarwal Solutions Class 9 Maths Chapter 5 Coordinate Geometry – Overview

Here are some of the key topics of Chapter 5 of RS Aggarwal Solutions Class 9 Maths:

• Cartesian System: The cartesian system is the system that describes the position of a point in a plane. In a cartesian system, there are two lines perpendicular to each other and a point is denoted on it by referring to these lines. The horizontal axis is the XX’ or X-axis and the vertical axis is YY’ or Y-axis.

1. Origin: The point where these perpendicular axes intersect and are denoted by ‘O’.
2. OX: The positive X-direction.
3. OY: The positive Y-direction.
4. OX’: The negative X-direction.
5. OY’: The negative Y-direction.
6. Quadrant: The two axes divide the cartesian system into 4 parts and follow the numbering I, II, III, and IV in an anticlockwise direction from the OX axis.
7. The coordinate axis is the other name for these axes.
8. In a cartesian plane, there are axes and 4 quadrants. The cartesian plane is also known as the coordinate plane.

• Steps To Find Coordinates Of A Point

1. X-Coordinate: It is the perpendicular distance of a point from the y-axis which is measured along the x-axis and has a positive value if it lies on the positive side of the x-axis and a negative value if it is on the negative side. The x-coordinate of a point is termed its abscissa.
2. Y-Coordinate: It is the perpendicular distance of a point from the x-axis which is measured along the y-axis and has a positive value if it lies on the positive side of the y-axis and a negative value if it is on the negative side. The y-coordinate of a point is also termed its ordinate.
3. Both the x and y coordinates of a point are placed within a bracket with the x coordinate preceding the y coordinate, for example (x1, y1).
4.  

• Rules govern the relationship between the signs of a coordinate point and the quadrant in which it lies.

1. Quadrant I – It is a point in the first quadrant that has positive x and y coordinates (+,+) as the first quadrant lies on the positive side of both the x and y axes.
2. Quadrant II – It is a point in the second quadrant that has a negative x and a positive y coordinate (-,+) as the second quadrant lies on the negative side of the x-axis and the positive side of the y-axis.
3. Quadrant III – It is a point in the third quadrant that has a negative x and a negative y coordinate (-,-) as the third quadrant lies on the negative side of both the x-axis and the y-axis.
4. Quadrant IV – It is a point in the fourth quadrant that has a positive x and a negative y coordinate (+,-) as the fourth quadrant lies on the negative side of the x-axis and the positive side of the y-axis.
5. The coordinates of the origin or point O is (0,0) as it is at zero distance from both the x-axis and y-axis.

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