Sugar which does not give reddish brown precipitate with Fehling's reagent is:

Fehling's reagent is used to test for reducing sugars. A reducing sugar has a free aldehyde or ketone group (or can form one in solution) that can reduce $$Cu^{2+}$$ ions in Fehling's reagent to $$Cu_2O$$ (reddish-brown precipitate).

Analysing each option:

Glucose: Glucose is an aldose with a free aldehyde group. It is a reducing sugar and gives a positive Fehling's test (reddish-brown precipitate).

Maltose: Maltose is a disaccharide with a free anomeric carbon. It is a reducing sugar and gives a positive Fehling's test.

Lactose: Lactose is a disaccharide with a free anomeric carbon on the glucose unit. It is a reducing sugar and gives a positive Fehling's test.

Sucrose: Sucrose is a disaccharide in which the anomeric carbons of both glucose and fructose are involved in the glycosidic bond. Therefore, sucrose has no free aldehyde or ketone group. It is a non-reducing sugar and does not give the reddish-brown precipitate with Fehling's reagent.

The correct answer is Option 1: Sucrose.