A man stands symmetrically between two large plane mirrors fixed to two adjacent walls of a reactangular room. The number of images formed as

Options

A. 4
B. 3
C. 2
D. 6

Explanation

To determine the number of images formed when a man stands symmetrically between two large plane mirrors fixed to adjacent walls of a rectangular room, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have two large plane mirrors fixed on adjacent walls of a rectangular room.
- The man is standing symmetrically between these two mirrors.

2. **Identify the Angle Between the Mirrors**:
- Since the mirrors are on adjacent walls, the angle (θ) between the two mirrors is 90 degrees.

3. **Use the Formula for Number of Images**:
- The formula to calculate the number of images (n) formed by two mirrors at an angle θ is given by:
\[ n = \frac{360^\circ}{\theta} - 1 \]

4. **Substitute the Angle into the Formula**:
- Substitute θ = 90 degrees into the formula:
\[ n = \frac{360^\circ}{90^\circ} - 1 \]

5. **Calculate the Number of Images**:
- Perform the division:
\[ n = 4 - 1 = 3 \]

6. **Conclusion**:
- The total number of images formed is 3.

### Final Answer:
The number of images formed is **3**.