Option 1 -> While Bharati did learn Vedantic teachings from Sri Aurobindo during his time in Pondicherry, this was not the reason for his ten-year stay there.
Option 2 -> The passage mentions Bharati met Sri Aurobindo in Pondicherry and learned from him, but there is no indication that Aurobindo compelled him to live in the Ashram.
Option 3 -> Bharati attended lectures by Annie Besant (founder of the Theosophical Society), but the passage does not mention any writings against the Society.
Option 4 -> The passage explicitly states: "Bharati was in political exile in Pondicherry for ten years because of his provocative writing against British rule."
Hence, Option 4 -> Bharati's provocative writings against British rule forced him into political exile in Pondicherry, which was French territory and thus outside British jurisdiction, where he stayed from 1910 to 1918 before returning to British India -> correct