Write the equations for the -and -axes.
The equation of the x-axis is y = 0 and the equation of the y-axis is x = 0.
Explanation
This question appears as Exercise 9.2, Question 1 in the NCERT textbook. The solution follows from the concept that the x-axis consists of all points whose y-coordinate is zero, hence y = 0. Similarly, the y-axis consists of all points whose x-coordinate is zero, hence x = 0. This logic is consistent with Example 4 in the context, which shows that a line parallel to the x-axis has equation y = constant, and a line parallel to the y-axis has equation x = constant. For the axes themselves, these constants are zero.
Solution Steps
Step 1: For the x-axis, every point has y-coordinate = 0, so equation is y = 0.
Step 2: For the y-axis, every point has x-coordinate = 0, so equation is x = 0.