Which of the points P(0,3), Q(1,0), R(0,-1),S(-5,0) and T(1,2) do not lie on the X-axis ?

Options

A. P and R only
B. Q and S only
C. P,R and T
D. Q,S and T

Explanation

To determine which of the points P(0,3), Q(1,0), R(0,-1), S(-5,0), and T(1,2) do not lie on the X-axis, we need to analyze the coordinates of each point.

The general rule is that a point lies on the X-axis if its y-coordinate (the second number in the coordinate pair) is equal to 0.

Let's evaluate each point:

1. **Point P(0, 3)**:
- The y-coordinate is 3.
- Since 3 ≠ 0, point P does not lie on the X-axis.

2. **Point Q(1, 0)**:
- The y-coordinate is 0.
- Since 0 = 0, point Q lies on the X-axis.

3. **Point R(0, -1)**:
- The y-coordinate is -1.
- Since -1 ≠ 0, point R does not lie on the X-axis.

4. **Point S(-5, 0)**:
- The y-coordinate is 0.
- Since 0 = 0, point S lies on the X-axis.

5. **Point T(1, 2)**:
- The y-coordinate is 2.
- Since 2 ≠ 0, point T does not lie on the X-axis.

Now, summarizing the points that do not lie on the X-axis:
- Points P(0, 3), R(0, -1), and T(1, 2) do not lie on the X-axis.

### Final Answer:
The points that do not lie on the X-axis are P(0, 3), R(0, -1), and T(1, 2).