Option A: Her brother
       Let's analyze the given statements step by step:
     ● Statement (i): Lakshmi's brother is directly across the net from her daughter.  
           ○ This means they are on opposite sides of the net.
     ● Statement (ii): Her son is diagonally across the net from the worst player's sibling.  
           ○ This implies that the worst player's sibling is on the opposite side of the net from her son.
     ● Statement (iii): The best player and the worst player are on the same side of the net.  
           ○ This means that the best and worst players are partners.
     Now, let's deduce the positions:
         ○ From statement (i), we know that Lakshmi's brother and her daughter are on opposite sides.
         ○ From statement (ii), if we assume Lakshmi's daughter is the worst player, then her sibling (the son) is diagonally across from her, which fits the condition.
         ○ From statement (iii), since the best and worst players are on the same side, and assuming the daughter is the worst player, her partner (the best player) must be on the same side as her.
     Therefore, the best player must be on the same side as the daughter. Since the daughter is across from the brother, the brother must be the best player.
     Thus, the best player is Lakshmi's brother.