Since my opponent has taken the center position (1,1), I'll place my first 'O' in the top-left corner (0,0). This is a strong strategic move because:

1. Taking a corner when the opponent has the center creates multiple potential winning paths for me.
2. This position allows me to potentially create a "fork" situation later (where I have two winning lines simultaneously).
3. If my opponent doesn't respond optimally, I can establish control of either the top row, left column, or the diagonal from top-left to bottom-right.

Playing in corners against a center opening is generally considered one of the strongest counter-moves in Tic-Tac-Toe strategy.