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.
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In mathematics analytic geometry, is also known by other name such as Coordinate geometry, Cartesian geometry. Analytic geometry is based on the coordinate system and the principal of algebra and analysis.
Let’s see the basic principal of analytic geometry. 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 analytic geometry, where all x- coordinates is along to the horizontal Position on the graph and y- coordinates is along to the vertical position on the graph. These coordinates are basically written in form of order pair (x, y). It is also used in three dimensional geometry, where all the points are denoted by an ordered pair of coordinates like (x, y, z);
Now we will see Analytical Geometry formulas for finding the distance and angle of analytic geometry:
Let we have coordinates u1, u2 and v1, v2 for the plane of geometry:
Then we see how to find the distance of plane of analytic geometry by using above coordinates:
d = √ [(u2 - u1)2 + (v2 - v1)2]
Where‘d’ denoted the distance,
This distance can be solved using the pythagoras theorem. Now we will find the angle of analytic geometry:
The angle of geometry is:
∅ = arctan (m);
Where ‘m’ is the Slope of line;
This is all about analytic geometry formulas.