Cartesian Coordinate System Questions

Q1: Find the distance between Origin and Point P(-3, -2)

Q2: Find the slope of the line joining the points (-1, 4) and (2, -3)

Q3: Find the equation of a line using slope form of a line which passes through point (3,4) and slope is 2/3.

Q4: Find the coordinates of a point which is the midpoint of a line joining the points (1, 3) and (-3, 4).

Q5: Locate Points (-5, 6), (2, -3), (1, 2) and (-1, 0) in Cartesian System.

Cartesian Coordinate System

Cartesian Coordinate System in Maths is a division of coordinate geometry where the location of a point in a plane or space is marked by a pair of numbers or three numbers. The branch of geometry that deals with the Cartesian Coordinate System is called Coordinate Geometry. The numbers which are used to identify the location of a point in a plane or space are called coordinates.

The concept of the Cartesian Coordinate System is fundamental for class 9 and class 10 students which will later help them to understand various graphs and solve problems in physics.

In this article, we will study about the Cartesian Coordinate System, cartesian coordinates, coordinate axes, two dimensional as well as three-dimensional coordinate systems in detail.

Table of Content

  • What is Cartesian Coordinate System in Maths?
  • History of Cartesian Coordinate System
  • Components of the Cartesian Coordinate System
    • Cartesian Coordinates
    • Coordinate Axes
    • Cartesian Plane
  • Dimension of Coordinate System
    • One Dimensional Coordinate System
    • Two Dimensional Coordinate System
    • Three Dimensional Coordinate System
  • How to Plot Points in Cartesian System of Coordinates?
  • Formulas in Cartesian Coordinate System
    • Distance Formula
    • Section Formula
    • Mid-Point Formula
    • Slope of a Line
    • Equation of Line in Cartesian Form
    • Equation of Plane in Cartesian Form
  • Cartesian Representation of Complex Numbers
  • Application of Cartesian Coordinate System
  • Cartesian Coordinates System Examples
  • Cartesian Coordinate System Class 9
  • Cartesian Coordinate System Questions

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What is Cartesian Coordinate System in Maths?

The branch of Geometry that deals with the labeling of points in space or plane and marking their location with numbers is called the Cartesian Coordinate System. The geometry dealing with the Cartesian Coordinate System is also called Coordinate Geometry. The Cartesian Coordinate System helps draw graphs of various functions and hence is the fundamental concept for the interpretation of analytical geometry and various other branches of mathematics such as linear algebra, calculus, complex analysis, etc....

History of Cartesian Coordinate System

The credit for the development of the Cartesian Coordinate System goes to the French Mathematician Rene Descartes. He published the idea of the Cartesian Coordinate System in 1637. Although several others also worked on this such as Pierre De Fermat who also worked independently on the Cartesian Coordinate System but did not publish his results and findings. Another person, Nicole Orseme who was a French cleric also worked on this before Fermat and Descartes....

Components of the Cartesian Coordinate System

The Cartesian Coordinate System is characterized by basically three components. These are Cartesian Coordinates, Coordinate Axes, and Cartesian Planes. Let’s learn them in detail....

Dimension of Coordinate System

Dimesion of Coordinate System basically tells about the number of points used to identify the location of a point in Coordinate Geometry. Depending on this there are three types of coordinate system, these are:...

How to Plot Points in Cartesian System of Coordinates?

In Cartesian System of Coordinates, to plot a point we measure the distance from the coordinate axes. For this we first need to see the coordinates. Let’s say we have to plot a Point P(2, 3) then we first see that there are two coordinates hence the point need to be plotted in 2D Cartesian Plane....

Formulas in Cartesian Coordinate System

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Cartesian Representation of Complex Numbers

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Cartesian Coordinates System Examples

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Cartesian Coordinate System Class 9

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Cartesian Coordinate System Questions

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