The image formed by a convex mirror is

Options

A. erect and diminished
B. erect and enlarged
C. inverted and diminished
D. inverted and enlarged.

Answer

To answer the question about the characteristics of the image formed by a convex mirror, let's break it down step by step:

### Step-by-Step Solution:

1. **Understanding the Convex Mirror**:
- A convex mirror is a spherical mirror that bulges outward. It has a reflective surface that causes light rays to diverge.

2. **Identifying the Properties of the Image**:
- When an object is placed in front of a convex mirror, the light rays coming from the object diverge after reflecting off the mirror.

3. **Ray Diagram**:
- To visualize this, we can draw a ray diagram.
- Draw the convex mirror with its principal axis.
- Mark the center of curvature (C) and the focal point (F) on the principal axis.
- Place an object (an arrow) in front of the mirror.

4. **Drawing the Rays**:
- Draw a ray parallel to the principal axis from the top of the object. When this ray hits the mirror, it reflects and appears to come from the focal point.
- Draw another ray that hits the mirror at the center. This ray reflects back at the same angle.

5. **Finding the Image Location**:
- Extend the reflected rays backward. The point where these extended rays appear to converge is where the image is formed.

6. **Characteristics of the Image**:
- From the ray diagram, we can observe:
- The image is **erect** (it maintains the same orientation as the object).
- The image is **diminished** (it is smaller than the object).

7. **Conclusion**:
- Therefore, the image formed by a convex mirror is **erect and diminished**.

### Final Answer:
The correct option is **A: erect and diminished**.

---