Robert Koch used a meat-infused nutrient medium to grow and isolate disease-causing microorganisms, which was a pivotal part of his work in establishing the germ theory of disease. His famous experiments using this medium were instrumental in proving that specific microorganisms are the cause of specific diseases.
Hence, the correct answer is (A), as this is the primary purpose for which Koch used such a medium.
- (B): Koch did not use a meat-infused medium to demonstrate the presence of microorganisms in the air. This was part of his broader studies but not related to this specific medium. Hence, statement (B) is incorrect.
- (C): The meat-infused nutrient medium was not used for testing the efficiency of sterilization approaches. While sterilization was part of Koch's work, the meat-infused medium was focused on cultivating microorganisms. Hence, statement (C) is incorrect.
- (D): Koch did not use a meat-infused medium for demonstrating the antimicrobial activity of soil isolates. His work focused on isolating pathogens from infected tissues. Hence, statement (D) is incorrect.
Thus, the correct answer is (A).
Match List-I with List-II 
Choose the correct answer from the options given below: