Open In App
Related Articles

GRE Algebra | Coordinate Geometry

Improve Article
Save Article
Like Article

In the coordinate geometry, all the points are located on the coordinate plane. Coordinate plane is also called xy-plane.

The concepts of xy-plane are:

  • The horizontal number line is called the x-axis and vertical number line is called the y-axis.
  • The intersection point of both the axes is called the origin, denoted by O.
  • The positive half of the x-axis right of the origin and negative half of x-axis is left to the origin.
  • The positive half of the y-axis is above the origin and negative half of y-axis is below the origin.
  • Two axes divide the plane into four Quadrants I, II, III and IV starting.

In xy-plane every point is denoted by P(x, y). Here first number is called the x-coordinate and second number is called the y-coordinate. A point having coordinates (3, 2) is located 3 units to the right of y-axis and 2 units above to the x-axis as shown in the above plane.

Distance between two points:-
In xy-plane the distance between the two points (x1, y1) and (x2, y2) can be found by using the Pythagoras theorem.

Example: Find the distance between the points (2, 3) and (-1, -1).


Distance between two points can be calculated using the below formula:

Distance = √ [ (x2 - x1)2 + (y2 - y1)2) ] 

Put all the values,

=  √[ (-1 - 2)2 + (-1 - 3)2) ]
=  √[ (-3)2 + (-4)2) ]
= √[ 9 + 16 ]
= √25
= 5 

Hence, distance between these two points is 5 unit.

Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!

Last Updated : 20 Jun, 2019
Like Article
Save Article
Similar Reads