Dear Student,
If you have not logged out the first time, you can still change your TS EAMCET web options from the official portal. However, you must have ‘Saved’ the web options because that is more important. If you have the preferences saved, you can change your web options by simply visiting the website and following the instructions. Just make sure once you are done with the changes, you take a printout of the options form and log out this time to avoid the possibility of any error the next time you log in.
Also remember, once the TS EAMCET web options are filled and submitted or the last date to exercise the options has passed, you won't be able to modify them. The web options, once freezed, cannot be changed or edited under any circumstances.
To help you with further information on TS EAMCET counselling, here are a few resources:
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What to Do if You Missed Income Certificate Verification for TS EAMCET?