Are you saying you burn 1,000 calories just from exercising? If you really do exercise every day and do burn that much, and only consume 1,200 calories a day, yes, you need to eat more. But, if you really were doing that, it would probably be sheer hell, you would have insane cravings and would feel extremely weak. So, I would have to say, IF that were all true, yes you are depriving your body, but I would be highly surprised if it were in fact true. What are you doing for exercise?