"The Governor and the Home Secretary held extensive discussions about issues relating to effective maintenance of law and order," a Raj Bhawan spokesman said after the meeting.
Vohra and Mehrishi also discussed matters relating to the security situation along the international border and LoC, increasing attempts at infiltration and growing incidence of terrorism in the valley, the spokesman said.
"During the meeting, the Home Secretary discussed the overall situation in the state with the Chief Minister," an official spokesman said.
Mehrishi arrived here this morning, a day after militants abducted and killed a young Kashmiri army officer in Shopian district.
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The home secretary is scheduled to chair a meeting of senior security officials, including Director General of Police S P Vaid, to get first hand information about the security scenario in the state, particularly in the valley where student protests have been going on for nearly a month now.
The Election Commission first postponed the April 12 polling in Anantnag Lok Sabha seat to May 25 in view of apprehension of violence during polling in south Kashmir.
However, the commission later cancelled the May 25 bypoll, saying the situation there was not feasible for holding elections.