In the last case of object between F and P in a concave mirror, why can't we draw a parallel ray from the object to the mirror , as we take for other positions of the object, instead of drawing a light ray incident on P?

Dear Student,
When an object is placed between F and P, we can take a parallel ray from the object. Following ray diagram will clear your doubts :-

An enlarged, virtual and erect image is formed behind the mirror.

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