Analytical Geometry In A Plane

Analytic geometry is related to the Algebra which is used to model the geometric objects, and the geometric objects contain points, straight line, and Circle. Points are represented as a Ordered Pair in the plane analytic geometric objects and in case of Straight Line it is represented by Set of points which satisfy the linear equation and the part of analytic geometry which deals with the linear equation and it is known as linear algebra. Coordinate geometry, Cartesian geometry are other named for analytic geometry. plane analytic geometry is based on the coordinate system and the principal of algebra and analysis.
Now we will see the basic principal of plane analytic geometry which is given below:
Every Point in the analytic geometry has a pair of real number coordinates. Cartesian coordinates system is one of the best coordinate system in the plane analytic geometry, where all the x- coordinates denote the horizontal Position in the graph and y- coordinates denote the vertical position in the graph. These coordinates are generally written in the form of order pair (x, y). This analytic geometry can also be used for three dimensional geometry, where all the points are represented by an ordered pair of coordinates like (x, y, z);
Now we will see how to find the distance and angle of analytic geometry:
Suppose we have coordinates p₁, p₂ and q₁, q₂ for the plane of geometry:
Then we see how to find the distance of plane of analytic geometry by using above coordinates:
d = √ (p₂ - p₁)² + (q₂ - q₁)²;
where‘d’ is distance.
This distance can be solved by using the pythagoras theorem;
Now we will find the angle of plane of geometry:
The angle of geometry is:
∅ = arctan (m);
Where ‘m’ is the Slope of line;
By this formula we can find the distance of plane of analytic geometric.