Question

The point (0, 8) lies on the _____ axis.
A. X – axis
B. Y – axis
C. Both axes
D. None of these

Answer 1

Hint: We will be using the concepts of the Cartesian plane to solve the problem. Also, we will be using the graphing approach to the problem to further simplify it.

Complete step-by-step answer:
Now, we have been given a point (0, 8) and we have to tell on which axis it lies.
Now, we know the Cartesian coordinate system is a coordinate system that specifies each point uniquely. In this system we represent points as the numerical coordinates which are signed distances to the point from two fixed perpendicular oriented lines which are known as axis. Each reference line is called a coordinate axis or just an axis of the system and the point where they must is called origin (0, 0). Now, for example if we plot a point (x, y) on Cartesian plane than it will be shown as,

Now, the point we have is (0, 8). So, we plot it on the coordinate axes as it has a distance of 0 unit from y – axis and 8 units from x – axis. Therefore, we have,

Now, we can see that the point lies on the y – axis.

Note: To solve these types of questions it is important to remember that if x – coordinate of a point is zero then the point lies on the y – axis and if y – coordinate of a point is zero then the point lies on the x – axis.