PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo
Number line:
 
3 Ресурс 1.png
 
In the above number line, the position of point P can be represented as 6 units with the reference of origin to one line (horizontal line).
 
A similar rule applies to the negative side of the number line as well. It is possible to represent the position of a point with reference to more than one point.

Descartes invented the idea of placing two such number lines perpendicular to each other on a plane and locating points on the plane by referring them to these lines.
 
The perpendicular lines may be in any direction. But, when we choose these two lines to locate a point in a plane in this chapter, one line will be horizontal, and the other will be vertical, as below.
 
12594.png
 
Cartesian system:
  • It is a co-ordinate number system used to describe the position of a point in two dimensions(x-axis and y-axis).
  • The line X'OX is the horizontal line called the x - axis.
  • The line Y'OY is the vertical line called the y - axis.
Co-ordinate axes:
The plural form of axis is called the axes. A number line represented horizontally is the x-axis and a number line represented vertically is the y-axis. Joining both the lines together at origin is called the xy plane or cartesian plane or co-ordinate axes.
 12595.png
 
Signs in the graphs:
  • In x - axis, the point is positive along the direction OX and negative along the direction OX'.
  • In y - axis, the point is positive along the direction OY and negative along the direction OY'.