Learn Class 11 Math - Coordinate Geometry

A coordinate system is also known as coordinate geometry; it is used to determine the position of several points or other geometric elements on a given space using a set of numbers.

Coordinates

A set of numbers is used to identify the location of a point on a given plane or dimension. These numbers are also referred to as coordinates.

Origin

The intersection of its axes determines the cartesian coordinate system. A 2D plane has the coordinates (0,0) for the origin.

Order

Write the x-coordinate first, followed by the y-coordinate. So, for example, the x coordinate always comes first, followed by the y coordinate.

Basic formulae of coordinate geometry:

  • Y = mx + c, used as the equation of straight lines.
  • Where ‘m’ denotes the straight line slope. ‘c’ denotes the y-intercept.
  • tanθ = m, here θ is the angle of the slope.

Uses of coordinate geometry in real life:

  • In outer space, it is used to locate aircraft.
  • Mobile applications and other devices use this term to describe maps.
  • Locating positions of individuals in the GPS Navigation system.