A diverging lens is one that diverges rays of light incident on it parallel to the primary axis at all times.
When light rays from an object strike the diverging lens in a direction parallel to the principal axis, the rays diverge from the lens's axis away from the lens, resulting in the extended ray of these diverged rays meeting at the lens's focus.
The object's divergent rays of light never intersect. As a result, the diverging lens is unable to produce a true image. At the diverging lens's focus, a virtual image of the item is created.
As a result, a virtual picture will always be produced by the diverging lens.
Hence, a diverging lens will produce always a virtual image.