A few points that might help you to answer the question yourself:
- The basic function of a fuse is to stop the flow of electric current above a specified limit to avoid overheating of electrical equipments and their subsequent damage.
- The fuse works by breaking the electric circuit when the current in the circuit suddenly increases to a very high value. The current causes melting of the fuse material and this breaks the circuit.
- Keeping all this in mind, the fuse must be placed in such a way that if the current in the circuit suddenly increases to a very high value, the fuse melts and breaks the circuit, before the electrical equipments are damaged.
- So, in a parallel connection, to prevent damage of all the equipments at the same time, the fuse must be placed in the main circuit, rather then in the branches.
The answer is clearly evident from the last $2$ hints and the first $2$ hints substantiate the explanation. Hope this helps you.