Coordinate Geometry or the system of coordinate geometry has been derived from the correspondence of the points on the number line and real number. A very unique number coordinate can be represented on a number line and any of the real number can be located on the number line. The number line represents the whole of the real number. By the way of the convection the number line is a horizontal placed line at its right hand side the positive Numbers are placed and on the left hand side the negative number are placed and they both are separated by the 0 or we can say zero is placed in the middle of them.
What are Coordinates?Back to Top
There are three types of the coordinate systems. These are Cartesian coordinate, spherical coordinate and cylindrical coordinate systems. Other than these systems, there are rectangles or polar or oblique etc. coordinate systems. Among all these coordinate systems, Cartesian coordinate system is widely used in several applications of mathematics. Coordinates vary according to the coordinate system. There are three coordinates defined in the Cartesian, spherical and cylindrical coordinate system. In Cartesian coordinate system, three coordinates are ‘x’, ’y’, and ’z’. These can be figured out as shown below:
If an object or point is placed in 2 – D space then only 'x' and y- coordinates of Cartesian coordinate system are used and for 3 – D space, all three coordinates that is x, y and z coordinates are used. Coordinates on x – axis, y – axis and z – axis are called as x, y and z – coordinates respectively. If a point is located in two dimensional space at (5, 6), it indicates that point has location 5 units horizontally and 6 units vertically.
In spherical coordinate system, three coordinates are radial distance (ρ), polar angle (θ) and the azimuth angle (φ) which describes the particle in spherical Coordinate Plane. Three coordinates in cylindrical coordinate system are radial distance (ρ), the azimuth angle (φ) and z coordinate similar to Cartesian coordinate.