The correct option is A True
The fuse or circuit breaker is connected in series with the live wire such that the current passes first through it and then through the home appliances.
In case of heavy current flow, the current first flows through the fuse or circuit breaker and break the circuit to protect the electrical appliances connected.
If fuse was in parallel, then the current would have reached the fuse at the same time as it reached the other appliances, thus could have damaged them.