Coordinate Geometry

The coordinate geometry is an important branch of mathematics. It mainly helps us to locate the points in a plane. Its uses are spread in all fields like trigonometry, calculus ,dimensional geometry etc. And the subject have obvious applications in statistics ,physics also. Here we will see some applications through examples. First we will see the coordinate plane, which is made up of x and y axes. The horizontal line is the x axis and the vertical line is the y axis.

We can see in the figure two intersecting lines, that is the x and y axis,and they meet at the origin (0,0). We are marking the coordinates using x and y ordinates respectively ,with a seperating comma. We can see the numbers marked in the plane ,at a unit difference. This will help us to locate the points easily.
For example: We can mark the point (1,1) directly up to the point 1 in x axis and directly straight to 1 in y axis to the right side. And for drawing graphs we have to plot the points like this and have to join them.

Coordinate Geometry Help

Suppose we have to find the distance between 2 points, we can use the help of coordinate geometry for this. For calculating the distance we have the distance formula in coordinate geometry. Distance d= √ [(x₂-x₁)² +(y ₂-y₁)² ]. To find the angle between 2 lines, we can use tan ^-1m, where m is the slope of the line with respect to the origin.

Coordinate Geometry in Real Life

In real life for the construction field we are mainly using the coordinate geometry. The sketch of the building is pure geometry. and for printing pdf files we are using this geometry help. For finding the distance between the places we are using coordinate geometry and in geography also it have many applications . In astrophysics to find the distance between the planets,coordinate geometry helps.