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The correct answer is option 1, which states that only statement 1 is correct. Let`s dissect each option for better understanding:
Option 1: "1 only" - This option means that statement 1 is correct and statement 2 is incorrect.
Option 2: "2 only" - This option means that statement 2 is correct and statement 1 is incorrect.
Option 3: "Both 1 and 2" - This option means that both statement 1 and statement 2 are correct.
Option 4: "Neither 1 nor 2" - This option means that both statement 1 and statement 2 are incorrect.
Given that the `Curiosity` rover is a robotic mission for exploration of Mars launched by NASA, statement 1 is correct. However, statement 2 is incorrect because the `Curiosity` rover is not powered by solar energy. Instead, it uses a radioisotope thermoelectric generator (RTG) that converts the heat of plutonium-238 into electricity.
In conclusion, the correct answer is option 1: "1 only." The `Curiosity` rover is a robotic mission for exploration of Mars launched by NASA, but it is not powered by solar energy.