Hi Rushali,
As per the new draft of Right of Persons with Disability, 2014 the certificate issued by the state authorities are valid all over the country. Since district offices also comes under the state so your certificate is valid. For more information you can refer this news article: https://timesofindia.indiatimes.com/india/Disability-certificates-to-be-valid-across-the-country/articleshow/52308206.cms
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