Find the distance between each of the following points :
A(-6,-1) and B-(-6,11)
(a)14
(b)13
(c)12
(d)11

Answer

To find the distance between the points A(-6, -1) and B(-6, 11), we can use the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

### Step-by-Step Solution:

1. **Identify the coordinates of the points**:
- Point A has coordinates \( (x_1, y_1) = (-6, -1) \)
- Point B has coordinates \( (x_2, y_2) = (-6, 11) \)

2. **Substitute the coordinates into the distance formula**:
\[ d = \sqrt{((-6) - (-6))^2 + (11 - (-1))^2} \]

3. **Calculate the differences**:
- For the x-coordinates:
\[ (-6) - (-6) = 0 \]
- For the y-coordinates:
\[ 11 - (-1) = 11 + 1 = 12 \]

4. **Plug the differences back into the formula**:
\[ d = \sqrt{(0)^2 + (12)^2} \]

5. **Simplify the expression**:
\[ d = \sqrt{0 + 144} = \sqrt{144} \]

6. **Calculate the square root**:
\[ d = 12 \]

### Conclusion:
The distance between points A and B is \( 12 \). Therefore, the correct answer is option (c) 12.