They said that two Indian soldiers were killed during the Shopian operation.
Indian security forces killed at least three civilians and wounded about 70 in restive Kashmir on Sunday when hundreds of people tried to prevent them from carrying out operations against suspected militants, police and residents said.
Two terrorists were killed and one captured as security forces fought gunbattles in three different places of Kashmir.
The slain militant was identified as Rouf Khanday, the official said, adding he had gone missing early this year and a photograph of him holding a gun was posted on social media in the last week of March.
The youth were killed during cordon and search operations, launched by Indian forces at Dagdard and Kachdoora areas of the two districts in South Kashmir. "However, no body was retrieved from the site", said a police official.
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At least nine militants have been killed in two separate encounters in Shopian while as many more are reportedly holed up. The gunfights began after midnight at Draggad and Kachdoora villages of the district. A total of 7 militants were killed in the Dragad village encounter. One terrorist was killed in Anantnag and another was caught alive.
He said as the searches were being conducted, the hiding militants fired upon the forces, triggering an encounter.
In recent years, Kashmiris, mainly youths, have displayed open solidarity with anti-India rebels and sought to protect them by engaging troops in street clashes during military operations against the militants. According to the Kulgam hospital officials, one injured, identified as Zubair Ahmad Bhat, a resident of Gopalpora village, succumbed to his injuries. A few police, CRPF and Army personnel were also injured in the encounters. Rail services have also been suspended between Bannihal town of Jammu region and Baramulla town in the Kashmir Valley.