End Game - Queen + Rook vs Queen Today, when I was playing end game I had a queen, a rook and a king (no pawns). My opponent had just a queen. It was his turn (the board was pretty blank) and he started giving continuous checks. I tried to bring my pieces to defend the king but couldn't stop.

After sometime he claimed for a draw and argued that otherwise this would continue for ever (positions were not repeating, but still). I agreed.

So, is there any way to defend in such cases or is the match just over?
Even, is it fair that though we have a good lead the opponent is forcing a tie?
What would be the result if such thing happens in GM game?

Thanks, in advance.
In the vast majority of the cases, an ending of Q+R vs. Q should be winning.

However, some exceptions exist, for instance: 



[FEN "6RK/7Q/5q2/8/8/8/8/3k4 w - - 0 1"]

      1.Qg7 Qh4+ 2.Qh7 Qf6+ 3.Rg7 Qd8+ 4.Qg8 Qh4+ 5.Rh7 Qf6+



In case you want to check whether your game was winning or not and how to win it, you can consult a tablebase, for example the free online tablebase of Shredder.