Question

Equation of the line y=0 represents
a. x-axis
b. y-axis
c. Both x-axis and y-axis
d. Neither x-axis nor y-axis

Answer 1

Hint: Here, it is given the line is y = 0. So, this implies only x coordinates are there. Here, x can take any values maintaining y = 0. Using this we can find the answer.

Complete step-by-step answer:

Any point on an x-y plane can be represented using (x, y). Here, the value of x gives the x coordinate and the value of y gives the y coordinate

.
The x-y plane where, x > 0 and y > 0 is shown in the figure. There are two axes in an x-y plane. The horizontal axis is called the x-axis. It is also called the abscissa. The vertical axis is called the y-axis. It is called the ordinate. In this figure, point A is represented as (x, y). Here, x and y are the x coordinate and y co-ordinate of the point A respectively.
In the figure point O is the origin represented as (0, 0). Any point on the x-axis is represented as (x, 0) and any point on the y-axis is represented as (x, 0).
So according to the question, y = 0 means for all the values of x, y coordinate is 0. This implies, the line y=0 represents the x-axis.
Hence, the correct answer is option (A).

Note: There are chances that you might interpret the line y = 0 as y-axis. This is wrong. The line y=0 simply implies that for all the points (x, y) in the x-y plane, the y coordinate is always 0, which means that the line y=0 represents x-axis.