Disabled applicants must complete form DTE 105E,. The homestead exemption allows lowincome senior citizens and permanently and totally disabled Ohioans, to reduce their property tax bills.Are you 65 or older? Are you under 65 and disabled? Apply for homestead exemptions? Call the Tarrant Appraisal District at 817-284-0024. Douglas County has additional exemptions. Homestead Exemption Laws Change. As the name suggests, a tax exemption makes certain income, assets, or a portion of those income and assets free from taxation. Official website of the U.S. Social Security Administration.