Coordinate geometry involve in a process to transform the geometric problems to a simple coordinate system, this would allow to find a simplified process to solve some complicated problems.
Before we jump into the real theoretical ideas, we should revise the fundamentals required. A plane can be divided in to four parts using two straight lines. These lines can make any angle between them.
Even though we can get so many different pair of Cartesian axis, in advance level combined mathematics we consider two perpendicular axis. 01 of the axis being horizontal named x-axis and the vertical axis being named as y-axis. Both these axis meet at a point named in O, known to be the origin. In general, that will be the (0,0) point but also it can vary according to the problem. Since we take the origin O wit x and y axis we denote the plane as xOy plan.
Now, we will consider any random point "P" in the plan. A coordinate of P will denote the exact location of the point P in this plan. To define the location, we will be able to use the distance of the point P from the x-axis and y-axis.
The distance of P from the y axis is known as abscissa, from the figure below, we can observe that the distance from y-axis is parallel to the x-axis, and let us take that distance as "a".
The distance of P from the x axis is known as ordinate, from the figure below, we can observe that the distance from x-axis is parallel to the y-axis, and let us take that distance as "b".
With knowing the abscissa and the ordinate, now we will be able to express the location of P in the following form.
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