If you have multiple policies, you can claim against any of them or even all of them, as long as you have not exhausted the Sum Insured. For example, if you have an INR 5 lakh cover from your Corporate Plan and an INR 5 lakh cover from a Personal Policy, and have a claim of INR 2 lakh, then you can claim INR 1 lakh each (or in any other proportion) from both policies.