The constable, Rameez Parrey, had come home on holiday a few days ago, they said.
The militants, after forcing their way into the house at Parrey Mohalla, fired indiscriminately at the family.
The jawan died on the spot. Four of his family members -- his father, two brothers and an aunt -- were injured, police said.
The condition of the jawan's aunt was stated to be serious, while that of the three others was stable.
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