Statement 1 is correct: Hath Yoga practices (involving postures, breath control, cleansing techniques, etc.) were significantly developed and propagated by the Nathpanthi tradition, which traces its origins to figures like Gorakhnath. Statement 2 is also correct: Historical evidence suggests cultural and spiritual exchange between Indian yogic traditions and Sufism in medieval India. Many Sufi masters and orders adopted or were influenced by certain yogic practices and concepts, including techniques related to breath control and meditation which overlap with Hath Yoga.