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The question provided asks which points lie on the (i) **x-axis** and (ii) **y-axis**.

To determine this, let's recall the following:
1. A point lies on the **x-axis** if its **y-coordinate is 0**.
2. A point lies on the **y-axis** if its **x-coordinate is 0**.

Let's check each point in the list:

1. **A(10, -2):** The y-coordinate is -2, so it does not lie on the x-axis. The x-coordinate is 10, so it does not lie on the y-axis.
2. **B(5, 6):** The y-coordinate is 6, so it does not lie on the x-axis. The x-coordinate is 5, so it does not lie on the y-axis.
3. **C(23, 0):** The y-coordinate is 0, so this point lies on the x-axis. The x-coordinate is 23, so it does not lie on the y-axis.
4. **D(0, 23):** The y-coordinate is 23, so it does not lie on the x-axis. The x-coordinate is 0, so this point lies on the y-axis.
5. **E(0, 4):** The y-coordinate is 4, so it does not lie on the x-axis. The x-coordinate is 0, so this point lies on the y-axis.
6. **F(6, 0):** The y-coordinate is 0, so this point lies on the x-axis. The x-coordinate is 6, so it does not lie on the y-axis.
7. **G(3, 0):** The y-coordinate is 0, so this point lies on the x-axis. The x-coordinate is 3, so it does not lie on the y-axis.

### Final Answer:
- Points on the **x-axis**: **C(23, 0), F(6, 0), G(3, 0)**
- Points on the **y-axis**: **D(0, 23), E(0, 4)**

Let me know if you'd like more details or explanations. Here are some related questions for further practice:

1. Can a point lie on both the x-axis and y-axis simultaneously?
2. What is the general form of points lying on the x-axis?
3. How do you determine if a point lies on the line y = x?
4. Can a point have a zero x-coordinate and lie on the x-axis?
5. How does the distance of a point from the origin affect whether it lies on either axis?

**Tip:** Always remember that any point on the x-axis will have a zero y-coordinate, and any point on the y-axis will have a zero x-coordinate!

Which of the following points lie on (i) x-axis, (ii) y-axis? A(10, -2), B(5, 6), C(23, 0), D(0, 23), E(0, 4), F(6, 0), G(3, 0).

Determine which points lie on the x-axis and y-axis from the set of points A(10, -2), B(5, 6), C(23, 0), D(0, 23), E(0, 4), F(6, 0), G(3, 0). Learn key concepts in coordinate geometry, including how to identify points on different axes. Suitable for students in Grades 6-8.

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