CO-ORDINATE GEOMETRY

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  • Coordinate geometry is the study of geometry using a coordinate system.
  • Let XOX' and YOY' be two mutually perpendicular lines intersecting at point O. The line XOX' is called the x-axis and the line YOY' is called y-axis, and the two lines together are called coordinate axes. The point O is the origin. 
  • Quadrants: The two lines divide the plane in four parts XOY, X'OY, X'OY' and Y'OX called as first, second, third and fourth quadrants respectively.
  • For a given point P, the point is expressed as P( x,y ).
  • The x-coordinate is called abscissa and the y-coordinate is called ordinate.
  • In I    quadrant: x>0, y>0
  • In II  quadrant: x<0, y>0
  • In III quadrant: x<0, y<0
  • In IV quadrant: x>0, y<0
  • The coordinate of origin is ( 0,0 )
  • Any point on x-axis is of the form ( x,0 )
  • Any point on y-axis is of the form ( 0,y )
  • The coordinate system was invented by French Mathematician Rene Descartes in 1637. He provided the link of the use of algebra in the study of geometry.

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