oue1) Now try to explain following with suitable examples
1) Cartesian system 2) Cartesian plane
3) coordinate axes 4) coordinate points
5) quadrants
Answers
1)A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
2) To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontal and the other is vertical. This plane is called Cartesian plane.
3) The coordinate plane has two axes: the horizontal and vertical axes. These two axes intersect one another at a point called the origin.
4) The coordinate of a point P is defined as the signed distance from O to P, where the signed distance is the distance taken as positive or negative depending on which side of the line P lies. Each point is given a unique coordinate and each real number is the coordinate of a unique point.
5) The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals: I coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).
