Mehbooba laid a wreath on the coffin of Kumar who died of injuries sustained during a militant attack in Nowhatta area of the city this morning.
Nine other security personnel were injured in the gun battle which ended with the killing of two militants.
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Meanwhile, an official spokesman said the Chief Minister while expressing solidarity with the family of the slain CRPF officer, prayed for peace to the departed soul.
She said by indulging in such violent activities , the militants are making desperate attempts to once again trigger bloodshed in Kashmir and subvert the peace efforts.
The Chief Minister called for isolating elements indulging in violence which has only brought miseries for the people in Jammu and Kashmir.