Tehrik-e Taliban Pakistan (TTP), also known as the Pakistan Taliban, is an alliance of formerly disparate militant groups that came together in 2007 following Pakistan military operations against Al-Qaida-related (QDe.004) militants in the Federally Administered Tribal Areas. Formed under the leadership of Baitullah Mehsud, who has since died, TTP is rooted along the Afghanistan/Pakistan border. Some estimates suggest that TTP has between 30,000 and 35,000 members.
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Blaming to India is totally unfair call, Tehrik-e Taliban Pakistan (TTP) was born because Pakistan took the U-turn in 2001. And, Pakistan military operations against Al-Qaida-related militants in the Federally Administered Tribal Areas.
The same those people were HERO during the against Soviet union (Cold war) of USA and Pakistan.
India did not ask Pakistan to support and kept them in Pakistan during the Afghan WAR against Soviet, neither asked for operations against them in the Federally Administered Tribal Areas.