Step 1: Understanding the Concept:
The Planning Commission of India and Ministry of Water Resources classify irrigation projects into three statutory categories based on Culturable Command Area (CCA).
Step 2: Detailed Explanation:
Standard official classification of irrigation schemes in India (since 1978):
1. Major Irrigation Projects: Culturable Command Area (CCA) greater than 10,000 hectares ($> 10,000\text{ ha}$). Hence, Statement I is true.
2. Medium Irrigation Projects: CCA between 2,000 and 10,000 hectares.
3. Minor Irrigation Projects: CCA equal to or less than 2,000 hectares ($\le 2,000\text{ ha}$), comprising dug wells, shallow tubewells, and small check dams. Hence, Statement II is true.
Step 3: Final Answer:
Therefore, Both Statement I and Statement II are true, matching option (A).