Question 12 of 70beginner🧠 RememberVery Short1 mark

Write the equations for the xx-and yy-axes.

Correct Answer

The equation of the x-axis is y = 0 and the equation of the y-axis is x = 0.

Exercise: EXERCISE 9.2 | Q: 1 | (Page 13)
For More Understanding

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

  1. Step 1: For the x-axis, every point has y-coordinate = 0, so equation is y = 0.

  2. Step 2: For the y-axis, every point has x-coordinate = 0, so equation is x = 0.