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The correct answer is option 3, which states that statements 1 and 3 are correct.
Statement 1 is correct because the Prithvi-II missile is indeed a nuclear-capable ballistic missile. It is designed to carry nuclear warheads and has the capability to deliver them to a target.
Statement 2 is incorrect. The Prithvi-II missile actually has a maximum range of around 350 km, not 100 km as stated in option 2.
Statement 3 is correct because the Prithvi-II missile is India`s first indigenous ballistic missile. It was developed by the Defence Research and Development Organization (DRDO) and is actively used by the Indian Armed Forces.
Therefore, option 3 is the correct answer as it accurately identifies the correct statements about the Prithvi-II missile.