Not based on fact, unreal (9)
I believe the answer is:
imaginary
I believe this is a double definition.
'not based on fact' is the first definition.
(I've seen this before)
'unreal' is the second definition.
(similar in meaning)
(Other definitions for imaginary that I've seen before include "Fancied" , "Not based on fact, unreal" , ""All in the mind"" , "Pretend" , "Fictitious" .)