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Coordinate Geometry is the NCERT chapter that deals with the cartesian plane. The NCERT Class 9 Maths Chapter 3 Notes also contain important formulas. Coordinate geometry class 9 notes containing systematic explanations of topics using examples and exercises. Class 9 maths chapter 3 notes include FAQ’s or frequently asked questions about the chapter. CBSE class 9 maths chapter 9 notes can also be downloaded from Coordinate System class 9 notes pdf download.
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Cartesian System
Let’s take two number lines, a horizontal and a vertical line. The horizontal axis is called the x-axis and the vertical axis is called the y-axis. It is known as the cartesian system.
In the above graph, the x-axis is the horizontal line y-axis is the vertical line.
At the origin, the x-axis and y-axis intersect each other. It is represented by ‘O’.
The Cartesian plane is split into four quadrants called Quadrant I, II, III, and IV.
Rules :-
The X-coordinate of a point is marked by forming a perpendicular line from the y-axis measured length of the x-axis. It is also known as the Abscissa.
The Y-coordinate of a point is marked by forming a perpendicular line from the x-axis measured length of the y-axis. It is also known as the Ordinate.
Coordinates are written inside the bracket with x-coordinate written first followed by-coordinates.
In the above figure,
OB=CA=x coordinate (Abscissa), and
CO=AB=y coordinate (Ordinate).
Coordinate is written as (x, y).
At the origin O, both the x-axis and y-axis values are zero. Then the coordinate of the origin is (0, 0).
The relationship between the signs of the coordinates of a point and the quadrant of a point.
Quadrant | Coordinate | Sign in the quadrant |
I | (+, +) | 1st quadrant has the positive x-axis and the positive y-axis. |
II | (-, +) | 2nd quadrant has the negative x-axis and the positive y-axis. |
III | (-, -) | 3rd quadrant has the negative x-axis and the negative y-axis. |
IV | (+, -) | 4th quadrant has positive x-axis and the negative y-axis |
Steps to plot the point (2, 3) on a Cartesian plane -
Draw the Cartesian plane by drawing the coordinate axes with the scale 1unit=1cm
x-coordinates are marked from 0 to the right side in the positive x-axis and mark 2 with a scale of 1 unit.
y-coordinates are marked from 0 to upwards in the positive direction and mark 3 at a scale of 1 unit.
Thus, the point is the coordinate (2, 3).
Coordinate Geometry class 9th notes will help students to understand the formulas, statements, and rules in detail. This NCERT class 9 maths chapter 3 notes also contains previous year’s questions and NCERT textbook pdf.
In offline mode, Class 9 maths chapter 3 notes pdf download/Coordinate Geometry class 9 notes pdf download can be used to prepare.
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