Which of the following are the properties of image formed by a plane mirror?
(i) The image is at the same distance as the object.
(ii) The image is upright.
(iii) The image is laterally inverted.

Options

A. (i) and (ii) only
B. (ii) only
C. (ii) and (iii) only
D. (i), (ii) and (iii)

Answer

To determine the properties of the image formed by a plane mirror, we can analyze each statement given in the question:

1. **The image is at the same distance as the object.**
- When an object is placed in front of a plane mirror, the image formed is located at the same distance behind the mirror as the object is in front of it. For example, if the object is 3 meters away from the mirror, the image will also appear to be 3 meters behind the mirror. This property is true.

2. **The image is upright.**
- The image formed by a plane mirror is always upright, meaning it has the same orientation as the object. If you hold an object upright in front of the mirror, the image will also appear upright. This property is also true.

3. **The image is laterally inverted.**
- Lateral inversion refers to the phenomenon where the left side of the object appears on the right side of the image and vice versa. For instance, if you hold up a letter 'N' in front of a plane mirror, the image will appear as a reversed 'N'. This property is true as well.

Based on the analysis of the three statements, we can conclude that all three properties are characteristics of the image formed by a plane mirror.

### Final Conclusion:
All three statements (i), (ii), and (iii) are correct properties of the image formed by a plane mirror.