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CBSE Guide Coordinate Geometry class 9 Notes

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9 Mathematics notes Chapter 3 Coordinate Geometry

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CBSE Class 09 Mathematics
Revision Notes
CHAPTER – 3
COORDINATE GEOMETRY

1. Cartesian System
2. Plotting a Point in the Plane with given Coordinates

Coordinate Geometry : The branch of mathematics in which geometric problems are solved through algebra by using the coordinate system is known as coordinate geometry.

Coordinate System

Coordinate axes: The position of a point in a plane is determined with reference to two fixed mutually perpendicular lines, called the coordinate axes.

In this system, position of a point is described by ordered pair of two numbers.

Quadrants: The coordinate axes divide the plane into four parts which are known as quadrants.

Ordered pair : A pair of numbers a and b listed in a specific order with ‘a’ at the first place and ‘b’ at the second place is called an ordered pair (a,b)

Note that $(a,b) \ne (b,a)$
Thus (2,3) is one ordered pair and (3,2) is another ordered pair.
In given figure O is called origin.
The horizontal line
XOX’ is called the $x$ -axis.
The vertical line YOY’ is called the $y$ -axis.
P(a,b) be any point in the plane. ‘a’ the first number denotes the distance of point from
$y$ -axis and ‘b’ the second number denotes the distance of point from $x$ -axis.
a – X – coordinate | abscissa of P.
b – Y – coordinate | ordinate of P.
The point of intersection of the coordinate axes is called the origin.
The coordinates of origin are (0,0)
Every point on the x-axis is at a distance o unit from the $x$ -axis. So its ordinate is 0.
Every point on the y-axis is at a distance of unit from the $y$ -axis. So, its abscissa is 0.

Note : Any point lying on $x$ – axis or $y$ – axis does not lie in any quadrant.
The sign of coordinates (x, y) of a point in various quadrant are as given below:

Quadrant	Coordinates
	x	y
I	+	+
II	–	+
III	–	–
IV	+	–

Coordinate Geometry class 9 Notes

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CBSE Class-9 Revision Notes and Key Points

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