coordinate Geometry

coordinate Geometry

1. Cartesian

   • System
     • used for describing the position of a point in a plain.
     • denoted by
       • [x,y]
         • x coordinate is
           • abscissa
         • y coordinate is
           • ordinate
     • developed by
       • Rene Descarates
         • French mathematician
     • divided in
       • 4 quadrants
         • [x,y]
         • [x,-y]
         • [-x,y]
         • [-x,-y]

2. requires

   • two perpendicular lines
     • horizantal lines
       • x axis
     • vertical lines
       • y axis

3. equation of

   • x axis is y=0
   • line parallel to
     • x axis is y=constant
   • y axis is x=0
   • line parallel to
     • y axis is x=constant

4. fixed point

   • is origin [0,0]
     • moving left
       • -ve x axis [-x,0]
     • moving right
       • +ve x axis [x,0]
     • moving up
       • +ve y axis [0,y]
     • moving down
       • -ve y axis [0,-y]