how to seperate two miscible liquids having a difference of 10 degree celsius in their boiling points
Answers
There is a tendency for chemical engineering students to think that distillation is the only separation technique. You should look at what the materials are and their properties.
Crystallization and liquid-liquid extraction are lower energy processes used for separation. (There is a lot of choice of liquids for extraction. Of course you then have to think about separation from the extractant. You can, for example choose one which has a very different boiling point from the solute, and use your beloved distillation.)
You are also allowed to use chemistry. React one to make it something else. For example, if it is an organic acid, make it into a salt, separate (it may precipitate out) then regenerate the acid.
You can also do many things with distillation apart from simple binary. Adding a third component can cause them to separate in various ways. A nice one is where they form an azeotrope which distills off, but then separates into two layers on cooling.