The correct option is A Liliaceae
Plants of the Liliaceae family are monocotyledonous, perennial, herbaceous and flowering. They are characterised by tricarpellary, syncarpous gynoceium with superior, trilocular ovary with two ovules in each locules.
According to number of carpels, the gynoecium is monocarpellary, bicarpellary, tricarpellary and multicarpellary.
Ovary with united carpels is called syncarpous ovary while that with distinct carpels is the apocarpous ovary. Solanaceae has bicarpellary, syncarpous, bilocular or tetralocular gynoecium with superior and obliquely placed ovary. Option B is incorrect.
Liliaceae has tricarpellary, syncarpous, trilocular gynoecium which makes option A correct.
Option C is incorrect as Fabaceae has unicarpellary gnoecium. Option D is incorrect as poaceae has monocarpellary ovary