Assertion: A convex mirror always make a virtual image.
Reason: The ray always diverge after reflection from the convex mirror.

Explanation

To solve the question regarding the assertion and reason related to a convex mirror, we will break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "A convex mirror always makes a virtual image."
- A convex mirror is a type of spherical mirror that bulges outward. It reflects light in such a way that the reflected rays appear to diverge from a point behind the mirror.

2. **Understanding the Reason**:
- The reason given is "The rays always diverge after reflection from the convex mirror."
- When parallel rays of light hit a convex mirror, they reflect off the surface and diverge. This means that the rays do not converge to form a real image; instead, they spread out.

3. **Formation of Virtual Image**:
- In optics, a virtual image is formed when the reflected rays diverge, and the brain perceives them as coming from a location behind the mirror.
- Since the rays do not actually converge at a point, the image cannot be projected onto a screen and is thus termed 'virtual.'

4. **Conclusion**:
- Since the assertion is true (a convex mirror does always produce a virtual image) and the reason is also true (the rays diverge after reflection), we can conclude that both the assertion and the reason are correct.

5. **Final Answer**:
- Therefore, the correct option is that both the assertion and the reason are true.