Analytic geometry is deals with the algebra, and it is used to form the geometric objects, and some of the geometric objects contain points, straight line, and circle. In the geometry the representation of a point is ordered pair in the plane analytic geometric objects and in case of straight line in analytic geometry, straight line is represented by set of points which assure the linear equation and the part of analytic geometry which is related with the linear equation is also said to be linear algebra. There are some other names of analytic geometry which are Coordinate geometry, Cartesian 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 analytic geometry which is given below:
Each point has a pair of real number coordinates in the analytic geometry. Cartesian coordinates system is one of the most important coordinate system in the plane analytic geometry, in which all the x- coordinates are plotted along the horizontal position in the graph and y- coordinates are plotted along the vertical direction in the graph. And the general forms of these coordinates are of order pair (x, y). It is also used in the three dimensional geometry, where all the points are denoted 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 s1, s2 and t1, t2 for the plane of geometry:
Then we see how to find the distance of analytic geometry by using above coordinates:
d = √ (s2 - s1)2 + (t2 - t1)2;
Where’d’ is distance.
By using the Pythagoras theorem we can find the distance of analytic geometry.
Now we will find the angle of plane of geometry:
The angle of analytic geometry is:
∅= arc tan (m);
Where ‘m’ represents the slope of line;
By this formula we can find the distance of analytic geometric.
Compound interest calculator is a mathematical tool which solves the equation easily; we have also found the compound interest in CBSE class 9 books.
Now we will see the basic principal of analytic geometry which is given below:
Each point has a pair of real number coordinates in the analytic geometry. Cartesian coordinates system is one of the most important coordinate system in the plane analytic geometry, in which all the x- coordinates are plotted along the horizontal position in the graph and y- coordinates are plotted along the vertical direction in the graph. And the general forms of these coordinates are of order pair (x, y). It is also used in the three dimensional geometry, where all the points are denoted 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 s1, s2 and t1, t2 for the plane of geometry:
Then we see how to find the distance of analytic geometry by using above coordinates:
d = √ (s2 - s1)2 + (t2 - t1)2;
Where’d’ is distance.
By using the Pythagoras theorem we can find the distance of analytic geometry.
Now we will find the angle of plane of geometry:
The angle of analytic geometry is:
∅= arc tan (m);
Where ‘m’ represents the slope of line;
By this formula we can find the distance of analytic geometric.
Compound interest calculator is a mathematical tool which solves the equation easily; we have also found the compound interest in CBSE class 9 books.
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