Assertion (A) : The point (0,-3) lies on the y-axis.
Reason (R ) : The x-coordinate of the point (0,-3) is zero.

Options

A. Both A and R are true and R is the correct explanation for A.
B. Both A and R are true and R is not correct explanation for A.
C. A is true but R is false.
D. A is false but R is true.

Answer

To determine whether the assertion (A) and reason (R) are true, let's analyze them step by step.

### Step 1: Understand the Assertion
The assertion states that the point (0, -3) lies on the y-axis.

**Hint:** Recall that the y-axis is defined as the line where the x-coordinate of any point is zero.

### Step 2: Identify the Coordinates
The point (0, -3) has coordinates where the x-coordinate is 0 and the y-coordinate is -3.

**Hint:** Remember that in a coordinate system, the first number represents the x-coordinate and the second number represents the y-coordinate.

### Step 3: Determine the Position of the Point
Since the x-coordinate is 0, this means that the point (0, -3) must lie on the y-axis.

**Hint:** Points on the y-axis have the form (0, y), where y can be any real number.

### Step 4: Understand the Reason
The reason states that the x-coordinate of the point (0, -3) is zero.

**Hint:** This is a fundamental property of points on the y-axis.

### Step 5: Conclusion
Both the assertion (A) and the reason (R) are true. The reason correctly explains why the assertion is true: because the x-coordinate of the point (0, -3) is indeed zero, confirming that it lies on the y-axis.

**Final Answer:**
- Assertion (A) is true: The point (0, -3) lies on the y-axis.
- Reason (R) is true: The x-coordinate of the point (0, -3) is zero.
- Therefore, both A and R are true, and R is the correct explanation for A.