An object is placed infront of a convex mirror of focal length f. Find the maximum and minimum distance of two object from the mirror such that the image is real and magnified.

Options

A. `20 and oo`
B. f and 2f
C. f and 0
D. None of these

Explanation

To solve the problem, we need to analyze the properties of a convex mirror and the conditions under which it forms images.

### Step-by-Step Solution:

1. **Understanding the Convex Mirror**:
- A convex mirror always forms a virtual image. This means that the image cannot be real; it is formed behind the mirror and cannot be projected onto a screen.

2. **Image Characteristics**:
- The image formed by a convex mirror is always upright and smaller than the object. Therefore, it cannot be magnified in the sense of being larger than the object.

3. **Real and Magnified Image**:
- The question asks for conditions where the image is real and magnified. Since a convex mirror cannot produce a real image, it is impossible to have a scenario where the image is both real and magnified.

4. **Conclusion**:
- Since a convex mirror cannot create a real and magnified image, there are no distances (maximum or minimum) from the mirror where this condition can be satisfied.

### Final Answer:
- The maximum and minimum distances of the object from the convex mirror such that the image is real and magnified do not exist. Therefore, the answer is that it is not possible.