A King, with excess resources asks for two swords to be build; one for ceremonial purposes and one for battle. The first will be used (as implied) for ceremonies and to heighten impressions/intimidating the neighbouring kingdoms. The second will be used for battle, preferably held in two hands but possible with one.
The question here is what design would be used for each sword?
To help answer the question we can assume that the King would want a sword (for ceremonies) that's majestic yet shows off his power, a sword that he would pass down to his son perhaps as a family treasure or symbol of the crown. A lot of the ones I've seen resemble rapiers, though this represents more of the elegant aspect than mighty.
The second sword would ideally be designed for use against any other type of sword, perhaps at the minimum able to exchange at least a single set of blows against an opponent. Design is less of a focus here with more emphasis on practicality.
To further help answer we'll assume that this King lives during the late 15th century in Europe and has brought in the top blacksmiths from all over the world with a wealth of treasure for the one that can design both his swords best for him. This King will spare no expense into the swords as long as they are of a top quality. It's worth adding that the King would have good experience with fighting and combat, perhaps not to the level of the Knights that fight for him but enough to say that he can hold his own well enough.