Question

Every point is located in one of the four quadrants.

Answer 1

Hint: To solve this question, we need to know the basic theory related to the Cartesian Coordinate System. Coordinate system is used to locate the position of a point in a plane using two perpendicular lines. Points are represented in the form of coordinates (x, y) in two-dimension with respect to x- and y- axis.

Complete step-by-step solution:
A point plotted on a graph has an x - coordinate (x) and the y - coordinate (y). It's position on the graph depends on the values of x and y. The point can lie in any of the four quadrants or on the x - axis or the y - axis.
Here, we have Two axes as shown below in figure.
Vertical axis and perpendicular axis are reference lines of a rectangular system from which distances are measured. They are obtained as follows:
  

If both x and y are zero, then the point lies at the intersection of the axes, and is called the Origin (0,0).
Hence, it is not necessary for a point to lie in any of the four quadrants, as it can lie on the x-axis or the y-axis or it may be the origin.
Therefore, it is not necessary that Every point is located in one of the four quadrants of the coordinate system.
Thus, the given statement is not true.

Note: Always remember that the distance of a point from the y-axis scaled with the x-axis is called the abscissa or x coordinate of the point. The distance of a point from the x-axis scaled with the y-axis is called ordinate. The abscissa and ordinate all together are called coordinates.