Statement - I : Electric appliances with metallic body have three connections, whereas an electric bulb has a two pin connection. 
Statement – II  Three pin connections reduce heating of connecting wires

The metallic body of the electrical appliances is connected to the third pin which is connected to the earth. This is a safety precaution and avoids eventual electric shock. By doing this the extra charge flowing through the metallic body is passed to earth and avoid shocks. There is nothing such as reducing of the heating of connecting wires by three pin connections.