Consider the following properties of virtual images:
(i) cannot be projected on the screen
(ii) are formed by both concave and convex lens
(iii) are always erect
(iv) are always inverted The correct properties are:

Options

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

Explanation

To solve the question regarding the properties of virtual images, let's analyze each property step by step.

### Step-by-Step Solution:

1. **Understanding Virtual Images**:
- Virtual images are images that cannot be projected onto a screen because they do not actually exist at a location in space. They are formed by the apparent divergence of light rays.

2. **Property (i): Cannot be projected on the screen**:
- This property is true. Virtual images cannot be projected onto a screen since they are not formed by actual light rays converging at a point.

3. **Property (ii): Are formed by both concave and convex lenses**:
- This property is also true. Virtual images can be formed by both concave lenses (when the object is placed within the focal length) and convex lenses (when the object is placed within the focal length).

4. **Property (iii): Are always erect**:
- This property is true as well. Virtual images are always erect (upright) in relation to the object.

5. **Property (iv): Are always inverted**:
- This property is false. Virtual images are not inverted; they are upright. Inverted images are characteristic of real images.

### Conclusion:
The correct properties of virtual images are:
- (i) Cannot be projected on the screen: **True**
- (ii) Are formed by both concave and convex lenses: **True**
- (iii) Are always erect: **True**
- (iv) Are always inverted: **False**

Thus, the correct properties are (i), (ii), and (iii).

### Final Answer:
The correct properties of virtual images are:
- (i), (ii), and (iii) are true.

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