Step 1: Verify Statement 1.
Under Article 83(1) of the Constitution, the Rajya Sabha (Council of States) is a permanent house and cannot be dissolved. Statement 1 is true.
Step 2: Verify Statement 2.
Under Article 83(1), one-third of the members of Rajya Sabha retire every second year, ensuring continuity. Statement 2 is also true.
Step 3: Conclusion.
Both statements correctly describe the permanent and rotational nature of Rajya Sabha.
\[ \boxed{\text{Both the statements (1) and (2) are true}} \]