Singh, 31, and Rashid, 56, won the recent Lok Sabha elections from Khadoor Sahib in Punjab and Baramulla in Jammu and Kashmir, respectively, as Independents while being incarcerated.
"He was one of the oldest militant and wanted for several terror-related crimes," police told PTI.
Security forces are carrying out searches in various areas to nab the six terrorists, the source said.
Muzaffar Wani, who is a teacher by profession, unfurled the national flag on the premises of the Government Girls Higher Secondary School in Tral.
The terrorists were later identified as Pervaiz Ahmad Wani of Galoora Handwara and Naeem Ahmad Najar of Shelpora Brad, Sopore, he said.
Pak had realised in 2018 that Hurriyat Conference, the separatist conglomerate created by Inter-Services Intelligence, won't be able to deliver any more
He said the search operation turned into an encounter after the hiding terrorists fired at the security forces.
Hizbul Mujahideen terrorist Sajid Ahmad Gilkar was killed in an encounter on Wednesday.
Of these, 6,221 were injured due to pellets, 368 due to bullets, four due to pava shells and 2,449 suffered other injuries, the J-K CM said.
The district administration has also ordered closure of all colleges and higher secondary schools in Srinagar for Monday.
Umer Khalid was a A++ category top ranking terrorist and carried a cash reward of nearly Rs 7 lakh.
The terrorists -- Umer Fayaz Lone alias 'Hamad Khan' of Seer village, Faizan Hamid of Mandoora and Adil Bashir Mir alias 'Abu Dujana' of Monghama -- were wanted for their complicity in terror crimes, including attacks on security establishments and civilian atrocities, a police spokesman said.
"It's an unfortunate incident. The BSF convoy was attacked on the national highway by terrorists who fired at it from the by-lanes near Bijbehara," Director General of Jammu and Kashmir Police K Rajendra said.
'It was inspired by the Hamas attack and was like their attack -- well planned and well executed.'
The boy, who will turn 16 on March 12, was apprehended while fleeing after hurling the grenade at the bus stand that left two men dead and 31 others injured.
The nomination papers of 35 candidates including that of jailed separatist Sarjan Barkati were on Wednesday rejected during scrutiny for the first phase of assembly polls in Jammu and Kashmir, leaving 244 contestants in the fray.
Top Hizbul Mujahideen commander Saddam Padder is also believed to be among the slain terrorists.
Davinder Singh, posted as the deputy superintendent of police, was arrested last weekend along with terrorists.
People's Democratic Party president Mehbooba Mufti said on Monday that she will not contest elections until 'both the constitutions' of India and the erstwhile state are made applicable to Jammu and Kashmir.
A police party was targeted in Sopore area of north Kashmir at their behest.
Earlier in 2010, the highest number of 156 terrorists were killed between January and July that year.
The chargesheet highlighted his links to Pakistan-trained Abu Dujana and Abu Qassim, who were killed in separate encounters with security forces, and went on to allege that he used to meet them personally as well as through Over Ground Workers.
The accused, identified as Tariq Mir, a resident of Maldoora of Shopian district in south Kashmir, was the fifth person arrested in the case which came to light when Singh was arrested along with three terrorists including a most wanted Hizbul Mujahideen commander in January this year.
The policemen were abducted nearly three weeks after terrorists had abducted relatives of policemen from various places in south Kashmir on August 30.
The spokesman said it was learnt that an active terrorist of Hizbul, Farooq Ahmad Bhat, had received directions from terror handlers based in Pakistan to target the members of Panchayati Raj Institutions in Kulgam.
The attackers were forced to retreat to Pakistan-occupied Kashmir without causing any damage on the Indian side
The video showed the terrorists enjoying snowfall and brandishing AK 47 assault rifles while treading a snow-clad hillock after heavy snowfall on January 6.
The Jammu and Kashmir administration on Wednesday sacked police constable Tawseef Ahmed Mir, who has been accused of actively working for Hizbul Mujahideen and trying to kill two of his colleagues, and four more employees for alleged links with terror groups.
However, the attendance of devotees was thin as the people from adjoining localities only were not able to reach the grand mosque due to non-availability of public transport in view of the strike.
The report covers 20 countries, including war-torn Syria, Afghanistan, and Yemen and also the situation in India, the Philippines and Nigeria.
Hizbul Mujahideen militant Mushtaq Ahmad Chopan, who was killed in the attack, tried to escape from Tral police station wearing a burqa. In the incident, constable Mehraj Din was also injured, a police spokesman said.
The annual pilgrimage to the 3,880 metre high holy cave shrine in south Kashmir Himalayas will resume on Tuesday, they said.
According to reports, three other terrorists are holed up inside a house in Kellar.
A Pakistan-based conglomerate of militant groups active in Kashmir, headed by Syed Salahuddin, has temporarily dissolved itself with its leaders going underground in the wake of the crackdown on Jamaat-ud-Dawa and other banned terrorist outfits, a media report said on Saturday.The United Jehad Council -- which comprises Hizbul Mujahideen of Salahuddin, Harkat-ul-Ansar, Jamiat-ul- Mujahideen, Al-Jihad, Al-Barq, Ikhwan-ul-Mussalmin and Tehrik-ul-Mujahideen -- has closed offices
Bodies of three men, including that of an alleged militant, were found on Monday about 30 kms from here in Baramulla district, triggering protests by locals even though police said the deaths appeared to be a result of fight between two militant groups.
Dr Sheikh Jalal, a leading cardiologist of Kashmir was seriously injured in a militant ambush that left his two police guards dead.
3 terrorists -- two from the Lashkar-e-Tayiba and one from the Hizbul Mujahideen -- were arrested over the past three days.
In a remarkable display of resilience and commitment to democracy, the residents of villages that had long been deprived of polling due to terrorist threats and separatist-sponsored boycott calls turned out in large numbers to cast ballots in the sixth phase of Lok Sabha polls on Saturday.
The National Investigation Agency on Friday questioned Azhar Ali of the Hizb-ul-Mujahideen in connection with the Delhi high court blast case at Kotbalwal high security jail in Jammu.
Rediff.com's Vicky Nanjappa finds out why over a month after the blast near the Delhi High Court, investigators have not yet been able to pinpoint the terror outfit that carried out the operation.