Point (-5,0) and (4,0) are invariant point under reflection in the line `L_1 , ` point (0,-6) and (0,5) are invariant on reflection in the line `L_2` .
Write down the image of P and Q on reflection in `L_2` . Name the images as P'' and Q'' respectively.

Answer

To find the images of points P and Q under reflection in the line \( L_2 \), we first need to identify the coordinates of points P and Q.

Given:
- Points P and Q are invariant under reflection in line \( L_2 \).
- The coordinates of P are \( (0, -6) \) and the coordinates of Q are \( (0, 5) \).

### Step 1: Identify the coordinates of points P and Q
- Point P = \( (0, -6) \)
- Point Q = \( (0, 5) \)

### Step 2: Understand the concept of reflection
In reflection, the x-coordinates of points are inverted while the y-coordinates remain the same if the line of reflection is vertical. Since both points are on the y-axis (x = 0), their images will be found by reflecting across the y-axis.

### Step 3: Reflect point P
To find the image of point P under reflection in line \( L_2 \):
- The x-coordinate of P is 0. When reflected, it remains 0.
- The y-coordinate of P is -6. This will remain the same.

Thus, the image of point P, denoted as \( P'' \), is:
\[ P'' = (0, -6) \]

### Step 4: Reflect point Q
To find the image of point Q under reflection in line \( L_2 \):
- The x-coordinate of Q is also 0. When reflected, it remains 0.
- The y-coordinate of Q is 5. This will remain the same.

Thus, the image of point Q, denoted as \( Q'' \), is:
\[ Q'' = (0, 5) \]

### Final Answer
The images of points P and Q after reflection in line \( L_2 \) are:
- \( P'' = (0, -6) \)
- \( Q'' = (0, 5) \)