JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Cartesian Co-ordinates of a Point

This is the most popular co-ordinate system.

Axis of \[x\] : The line \[XOX'\] is called axis of \[x\].

Axis of \[y\] : The line \[YOY'\] is called axis of \[y\].

Co-ordinate axes : \[x\] axis and \[y\] axis together are called axis of  co-ordinates or axes of reference.

Origin : The point \['O'\] is called the origin of co-ordinates or the origin.

Let \[OL=x\] and \[OM=y\] which are respectively called the abscissa (or x-coordinate) and the ordinate (or y-coordinate). The       co-ordinate of P are \[(x,\,\,y)\].

Here, co-ordinates of the origin is (0, 0). The y co-ordinates of every point on x-axis is zero.

The x co-ordinates of every point on y-axis is zero.

Oblique axes : If both the axes are not perpendicular then they are called as oblique axes.