Yes, you should aim to develop a repository of categorized case studies that span various administrative domains for the Public Administration optional.

Developing a repository of categorized case studies can be highly beneficial for your preparation in the Public Administration optional subject. It allows you to practice a wide range of analytical skills, enhances your understanding of administrative concepts, and improves your ability to apply theoretical knowledge to practical situations. Here are the reasons why you should consider this approach:

1. Comprehensive understanding:
By collecting case studies from various administrative domains, you can develop a comprehensive understanding of the different challenges and solutions in public administration. This exposure to a wide range of scenarios will help you grasp the nuances of the subject and build a strong foundation.

2. Application of theoretical knowledge:
Analyzing case studies requires you to apply theoretical concepts to real-world situations. This exercise will enhance your ability to connect theoretical frameworks with practical scenarios, enabling you to develop a deeper understanding of the subject matter.

3. Skill development:
Analyzing case studies involves a range of analytical skills, such as problem-solving, critical thinking, and decision-making. Regular practice with different case studies will help you sharpen these skills, making you better equipped to handle complex administrative issues.

4. Familiarity with exam patterns:
Developing a repository of case studies will expose you to a variety of questions and exam patterns. This familiarity with the types of questions asked in the exam will help you strategize your preparation and improve your performance in the optional subject.

5. Revision and retention:
Organizing case studies in a categorized manner will facilitate revision and retention of key concepts. By referring to your repository regularly, you can reinforce your understanding of the subject and ensure that you remember important details during the exam.

In conclusion, developing a repository of categorized case studies spanning various administrative domains will significantly benefit your preparation for the Public Administration optional subject. It will enhance your understanding, improve your analytical skills, familiarize you with exam patterns, and aid in revision and retention of key concepts. Regular practice with case studies will ultimately contribute to your success in the UPSC examination.