If two mirrors are keps at `60^circ` to each other, then the number of images formed by them is

Options

A. six
B. four
C. five
D. three

Explanation

To find the number of images formed by two mirrors placed at an angle of \(60^\circ\) to each other, we can use the formula for the number of images formed by two mirrors:

\[ N = \frac{360^\circ}{\theta} - 1 \]

where \(N\) is the number of images and \(\theta\) is the angle between the two mirrors.

### Step-by-step Solution:

1. **Identify the angle between the mirrors**:
The angle \(\theta\) is given as \(60^\circ\).

2. **Use the formula for the number of images**:
Substitute \(\theta\) into the formula:
\[ N = \frac{360^\circ}{60^\circ} - 1 \]

3. **Calculate \(\frac{360^\circ}{60^\circ}\)**:
\[ \frac{360^\circ}{60^\circ} = 6 \]

4. **Subtract 1 from the result**:
\[ N = 6 - 1 = 5 \]

5. **Conclusion**:
Therefore, the number of images formed by the two mirrors at \(60^\circ\) to each other is \(5\).

### Final Answer:
The number of images formed is \(5\).

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