### Mathematics Class X

Real Numbers
Polynomials
Arithmetic Progressions
Triangles
Coordinate Geometry
Introduction to Trigonometry
Circles
Constructions
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability

# Cartesian coordinate system

## Coordinate geometry is a branch of geometry with which the positions of the plane is defined with the help of an ordered pair of numbers

In the Cartesian coordinate system, there is a Cartesian plane which is made up of two number lines which are perpendicular to each other, i.e. x-axis (horizontal) and y-axis (vertical). These two perpendicular lines are called the coordinate axis.

• The intersection point of these two lines is known as the center or the origin of the coordinate plane. Its coordinates are (0, 0).
• Any point on this coordinate plane is represented by the ordered pair of numbers. Let (a, b) is an ordered pair then a is the x-coordinate and b is the y-coordinate.
• The distance of any point from the y-axis is called its x-coordinate or abscissa and  the distance of any point from the x-axis is called its y-coordinate or ordinate.

The Cartesian plane is divided into four quadrants I, II, III and IV.

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