
Both the medical policies can be used simultaneously for the same incident of disease. In fact, under the terms of all insurance policies, you are obliged to disclose the details of all the policies operative on the day of hospitalisation.
All mediclaim policies pay the insured in the proportion of the sum insured under respective policies. You can file the claim under any of the policies mentioning the particulars and the sum insured under the other policy. The insurers will automatically share the claim amount between them.