I'll place my X in the top-left corner (0,0). This is a strategic move because:

1. It starts building a diagonal line from (0,0) through my existing X in the center (1,1), which could be completed at (2,2).
2. It gives me two potential winning paths - the diagonal mentioned above and also the opportunity to build along the top row or left column.
3. Taking a corner is generally strong in Tic-Tac-Toe, especially when I already control the center.

This move forces my opponent to respond to a potential diagonal threat while I develop multiple winning possibilities.