You can lose a point in tennis for various things. Here are a few ways:
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You can lose a point for double-faulting on your serve (not getting the ball in the service box after two tries), touching the net (you are not allowed to touch the net), or hitting the ball out.
YES. if hadn't touched the net (or any part of the opponent's court) he would not have lost the point automatically.
If you hit the ball into the net in tennis you don't lose a point, rather the opponent get s a point.
No, the point is lost only if your free hand touches the table, not your racket.