Describe the different cases of image formation by a convex lens. Provide the ray diagram for each case.

(N/A) convex lens forms images based on the position of the object as follows:
$(a)$ When the object is at infinity: The image is formed at the focus $F_2$,real,inverted,and highly diminished.
$(b)$ When the object is placed beyond $2F_1$: The image is formed between $F_2$ and $2F_2$,real,inverted,and diminished.
$(c)$ When the object is placed at $2F_1$: The image is formed at $2F_2$,real,inverted,and of the same size as the object.
$(d)$ When the object is placed between $F_1$ and $2F_1$: The image is formed beyond $2F_2$,real,inverted,and magnified.
$(e)$ When the object is placed at $F_1$: The image is formed at infinity,real,inverted,and highly magnified.
$(f)$ When the object is placed between the optical centre $O$ and focus $F_1$: The image is formed on the same side of the lens as the object,virtual,erect,and magnified.