Consider the following properties of virtual images:
(A) cannot be projected on the screen (B) are formed by both concave and convex lens
(C) are always erect (D) are always inverted
The correct properties are :

Options

A. (A) and (D)
B. (A) and (B)
C. (A), (B) and (C)
D. (A), (B) and (D)

Answer

To solve the question regarding the properties of virtual images, we will analyze each property one by one.

### Step-by-Step Solution:

1. **Property A: Cannot be projected on the screen.**
- Virtual images cannot be projected on a screen because they are formed by diverging light rays that do not actually converge at a point. Therefore, this property is **true**.

2. **Property B: Are formed by both concave and convex lenses.**
- Virtual images can be formed by concave lenses at all times, as they always produce virtual images regardless of the object's position. Convex lenses can also produce virtual images, but only when the object is placed between the focal point and the lens. Thus, this property is **true**.

3. **Property C: Are always erect.**
- Virtual images are typically erect when formed by real objects. This means that for real objects, the virtual images produced are upright. Therefore, this property is **true**.

4. **Property D: Are always inverted.**
- This statement is incorrect. Virtual images are not inverted; they are erect. Inverted images are characteristic of real images. Hence, this property is **false**.

### Conclusion:
The correct properties of virtual images are:
- A: Cannot be projected on the screen (True)
- B: Are formed by both concave and convex lenses (True)
- C: Are always erect (True)
- D: Are always inverted (False)

Thus, the correct properties are A, B, and C.

### Final Answer:
The correct properties are: A, B, and C.

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