Coordinate Geometry

Coordinate Geometry:
Introduction:

Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of mathematics, Algebra and Geometry. The combination of these two branches of mathematics was called Algebraic Geometry, Coordinate Geometry or Analytical Geometry.

Coordinates:

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number.

Rectangular Coordinate System:

The position of a point in a plane is determined by two coordinates.

Rectangular Coordinate Method

Introduction: Rectangular coordinate is also called Cartesian coordinate plane or the xyplane. The system of representation of points in the plane by ordered pairs of numbers is called the Cartesian or rectangular or x y-..

Cartesion System Summary

Summary - In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,y 1 ), B(x 2 ,y 2 ) ..