How is the proper location of free kicks determined if the infraction occurs in the goal area?

The correct approach to determining the location of free kicks when an infraction occurs in the goal area is indeed to position the kick at the nearest part of the goal line. This is rooted in the understanding that the goal area is a designated space in soccer where specific rules apply, particularly regarding free kicks.

When a foul occurs within this area, the closest point on the goal line allows for the most advantageous position for the attacking team, facilitating a fair opportunity to advance play. This method also helps to maintain the flow of the game while ensuring that the defending team remains at a prudent distance from the free kick, as defined by the Laws of the Game.

The other options suggest locations that would not provide the same advantage or fairness in the context of the rules, as they do not logically align with how free kicks are meant to be administered after an infraction inside the goal area.