Coordinate Geometry

Coordinate Geometry

1. Meaning

   • The study of geometry using a coordinate system

2. Cartesian system

   • used for
     • describing the position of a point in plane
   • denoted by
     • (x,y)
       • x coordinate is known as
         • abscissa
       • y coordinate is known as
         • ordinate
   • developed by
     • Rene Descartes
       • a French philosopher and mathematician
   • divided in
     • 4 quadrants
       • quadrant one
         • (x,y)
       • quadrant two
         • (-x,y)
       • quadrant three
         • (-x,-y)
       • quadrant four
         • (x,-y)

3. requires

   • two prependicular lines
     • horizontal line
       • x-axis
     • vertical line
       • y-axis

4. fixed point

   • origin (0,0)
     • moving up
       • +ve y-axis (0,y)
     • moving down
       • -ve y-axis (0,-y)
     • moving right
       • +ve x-axis (x,0)
     • moving left
       • -ve x-axis (-x,0)

5. equation of

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