Coordinate geometry is the study of geometry of real objects in 2-dimensions and in 3-dimensions. The mathematical subject is useful in defining exactly the objects point by point. There are rectangular, polar and cylindrical coordinate systems. They help us in finding their exact locations, sizes, shapes, areas, and volumes of complex objects.
In physics coordinate geometry helps in finding the center of gravity, moment of inertia etc. It helps in knowing the rotational mechanics (behaviour of objects in rotation).
In chemistry this mathematics helps in finding the exact structure and shape of atoms and bonds among them in a molecule. The crystal structures are calculated using them. In quantum mechanics too coordinate geometry is used along with integration.
Coordinate geometry is applied in computer aided design and manufacturing of mechanical tools, objects, machine parts and vehicle parts. The shape of cars and aeroplanes is also designed. The computer simulations of various modern science studies use coordinate geometry. Also computer games, drawing softwares, civil, mechanical, VLSI electronics design packages use coordinate geometry. Now the animation films and cartoons also use this geometry.
The 2-d and even the modern 3-d printers use coordinate geometry principles. Nowadays Acrobat PDF files are used everywhere. They use this geometry. The image recognition, pattern recognition, fingerprint recording and identification programs use coordinates very much.
Identification of locations on Earth and universe depend on coordinate geometry.
Do you remember what a plane is? A plane is any flat surface which can go on infinitely in both of the directions. Now, if there is a point on a plane, you can easily locate that point with the help of coordinate geometry. Using the two numbers of the coordinate geometry, a location of any point on the plane can be found. Let us know more!
A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
The Coordinate Plane
In the coordinate geometry, all the points are
located on the coordinate plane. Take a look at the figure below.
•Understanding the Concept of Coordinates
The point of intersection of the x and the y-axis is known as the origin. At this point, both x and y are 0.
•The values on the right-hand side of the x-axis are positive and the values on the left-hand side of the x-axis are negative.
Similarly, on the y-axis, the values located above the origin are positive and the values located below the origin are negative.
•When you have to locate a point on the plane, it is determined by a set of two numbers. So, first, you have to write about its location on the x-axis followed by its location on the y-axis. Together, the two will determine a single and unique position on the plane.
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Coordinate geometry is the study of geometry of real objects in 2-dimensions and in 3-dimensions. The mathematical subject is useful in defining exactly the objects point by point. There are rectangular, polar and cylindrical coordinate systems. They help us in finding their exact locations, sizes, shapes, areas, and volumes of complex objects.In physics coordinate geometry helps in finding the center of gravity, moment of inertia etc. It helps in knowing the rotational mechanics (behaviour of objects in rotation).
In chemistry this mathematics helps in finding the exact structure and shape of atoms and bonds among them in a molecule. The crystal structures are calculated using them. In quantum mechanics too coordinate geometry is used along with integration.
Coordinate geometry is applied in computer aided design and manufacturing of mechanical tools, objects, machine parts and vehicle parts. The shape of cars and aeroplanes is also designed. The computer simulations of various modern science studies use coordinate geometry. Also computer games, drawing softwares, civil, mechanical, VLSI electronics design packages use coordinate geometry. Now the animation films and cartoons also use this geometry.
The 2-d and even the modern 3-d printers use coordinate geometry principles. Nowadays Acrobat PDF files are used everywhere. They use this geometry. The image recognition, pattern recognition, fingerprint recording and identification programs use coordinates very much.
Identification of locations on Earth and universe depend on coordinate geometry.
Coordinate Geometry
Do you remember what a plane is? A plane is any flat surface which can go on infinitely in both of the directions. Now, if there is a point on a plane, you can easily locate that point with the help of coordinate geometry. Using the two numbers of the coordinate geometry, a location of any point on the plane can be found. Let us know more!
A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
The Coordinate Plane
In the coordinate geometry, all the points are
located on the coordinate plane. Take a look at the figure below.
•Understanding the Concept of Coordinates
The point of intersection of the x and the y-axis is known as the origin. At this point, both x and y are 0.
•The values on the right-hand side of the x-axis are positive and the values on the left-hand side of the x-axis are negative.
Similarly, on the y-axis, the values located above the origin are positive and the values located below the origin are negative.
•When you have to locate a point on the plane, it is determined by a set of two numbers. So, first, you have to write about its location on the x-axis followed by its location on the y-axis. Together, the two will determine a single and unique position on the plane.