Modi reportedly said that only authorised people should speak on the issue.
The 22-year-old was lodged in a jail in Gautam Buddh Nagar district.
Two ABVP activists were taken into custody after the ink attack.
Centre has so far rejected calls to release videos of army's surgical strikes in Pakistan-held territory.
The decision was taken with the objective of achieving the inflation target
The Apollo Hospital said that Jayalalithaa is recovering fast and is responding adequately to the treatment.
Normal life remained suspended in the Valley due to the separatist-sponsored strike for the 85th consecutive day.
India carried out surgical strikes on seven terror launch pads across the LoC .