Co-ordinate Geometry -1 -2 -3 -4 -5 1 2 3 4 5

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0-1-2-3-4-5

X-axis

Y-axis

In classical mathematics, analytic geometry, also known

as coordinate geometry, or Cartesian geometry, is the study of geometry using a 

coordinate system. Analytic geometry is widely

used in physics and engineering, and is the foundation of most

modern fields of geometry, including algebraic, differential,and computational geometry.

The best example of coordinates in

everyday life is use of longitude and latitude on globe. Each unique location on the earth

has a unique combination of longitude and

latitude. Global positioning system used by radio taxi

operators also uses x,y coordinates to find

exact location of a vehicle.

What is Coordin

ate geometr

y

The basis of co-ordinate geometry were founded by René Descartes in 1637 and were published under the book ’Discourse on the Method’. It included applications of algebra to geometry, giving a push to the use of geometry to solve some algebraic problems.

The basic aim behind discovery of the basis of a coordinate system

was to plot curves and find solutions to algebraic equation.

What is it used for?

How did it came

about???

The Cartesian Plane

Elements of a

Cartesian plane

Y-axis

X-axisOrigin(0,0)

Negative directions

Positive directions

Each reference line

is called a coordinate

axis ; the point

where they meet is

its origin

The Cartesian plane consists of two fixed

perpendicular directed

lines, measured in the same

unit of length

The horizontal directed line is

called the x-axis and the vertical 

directed line is called the y-axis.

The Coordinate Axes Divide The Plane Into

Four Parts Called Quadrants.

1st Quadrant(+,+)

2nd Quadrant(-,+)

3rd Quadrant(-,-)

4th Quadrant(+,-)

The distance of a point from the y - axis is called

its X-coordinate, or Abscissa, and the

distance of the point from the x-axis is called its Y-

coordinate, or Ordinate.

(2,-8) X-coordinate- 2 Y-coordinate- -8

The coordinates are written in an ordered pair. Abscissca (say x) and the ordinate (say

y) as (x,y).If x ≠ y, then (x, y) ≠

(y, x), and (x, y) = (y, x), If x

= y.

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