I'll place my X in the bottom-right corner (2,2). This is a strong strategic move because:

1. It sets up multiple potential winning lines - I can now win diagonally from top-left to bottom-right, vertically in the right column, or horizontally in the bottom row.

2. By controlling the corner opposite to my opponent's O, I'm establishing a diagonal presence that creates more winning opportunities for me.

3. This creates a potential "fork" situation where I'll have multiple paths to victory in my next turn, which will be difficult for my opponent to block all at once.

4. Since my first move was in the center (1,1), taking a corner now maximizes my control of the board's key positions.