What are Co-ordinates and Co-ordinate Plane?
Graphs are plotted on planes from numbers for linear as well as nonlinear equations. This number line, called the Cartesian plane has four quadrants divided by two axes that are perpendicular to one another. One is the x-axis and the other one is the y-axis.
The concept of coordinates is discussed in our online help with assignment on Coordinate Geometry as follows:
- The intersection point between the x-axis and the y-axis is called the origin. Here, x as well as y, are zero.
- The values that lie on the right-hand side of an x-axis are positive and the values that lie on the left-hand side of an x-axis are negative.
- When you need to find out a point on a plane, it is decided by two numbers. You have to write about the location on an x-axis and then on the y-axis. Together, both shall decide a unique and a single position on a plane.
- On the y-axis, the values that are located above the origin are positive while the values that are located below the origin are negative.
Things That Can be Done by Coordinate Geometry
If you know Coordinate Geometry, you can perform the following:
- Determining the distance between two points
- Finding whether the lines are parallel or perpendicular
- Finding the midpoint, equation, and slope of a line segment
- Finding the area and perimeter of a polygon formed by points on a plane.
- Defining the equations of curves, ellipses, and circles
- Transforming the shape by moving, reflecting, and rotating it.
The Need for Coordinate Geometry
Coordinate Geometry has different applications. The areas where it is an integral part are as follows:
- In digital devices including mobile phones, computers to locate the position of a finger or cursor
- In navigation and in maps
- In aviation for determining the location and position of airplanes
- For mapping geographical locations through longitudes and latitudes.
Applications of Coordinate Geometry in Real-Life
Coordinate Geometry is used in physics, in maps, in GPS, and other fields in various disguises. The principle is the same in every situation. You have to select an origin, measure the distance, define 2-3 directions, and now you can find all points.
As stated by our Coordinate Geometry assignment providers, Coordinate Geometry is used by a computer monitor. Shapes, conics, and complex curves can be defined mathematically with algebraic equations.