Coordinate Geometry

Coordinate Geometry

1. Cartesian

   • system
     • used for
       • describing the position of a point in a plane
     • denoted by
       • x,y
         • x coordinate is
           • abscissa
         • y coordinate is
           • ordinate
     • developed by
       • Rene Descarates
         • French Mathematician
     • divided in
       • 4 quadrants
         • Q1
           • x,y
         • Q2
           • -x,y
         • Q3
           • -x,-y
         • Q4
           • x,-y

2. Equation of

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

3. 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)

4. requires

   • two perpendicular lines
     • horizontal line
       • x axis
     • vertical line
       • y axis