Step 1: Understanding Survey Types.
- (A) Engineering survey is essential for collecting data for planning and executing engineering projects, making this statement true.
- (B) Reconnaissance survey is the preliminary survey used to assess the feasibility and estimate the cost of a project, so this statement is correct.
- (C) Route survey is conducted to represent the topography of a region, and this is accurate.
- (D) Archaeological survey helps in discovering and unearthing ancient relics, which is also true.
Step 2: Conclusion.
All four statements are correct, so option (1) is the correct answer.
Final Answer:
\[
\boxed{1. \, (A), (B), (C) \, \text{and} \, (D)}
\]