Explanation: To understand the context of the statements, we need to delve into the history and geography of Karnataka.
1. **Kadamba Dynasty**: The Kadamba dynasty was one of the earliest known ruling dynasties of ancient India, established in the 4th century AD. It was founded by Mayursharman in 345 AD. The dynasty ruled parts of what is now Karnataka and Goa. The Kadamba kings were known for their patronage of art, literature, and architecture. They were also among the first rulers to establish a formal administrative system in the region. The dynasty's rule lasted until the 6th century AD, after which it was succeeded by other dynasties such as the Chalukyas and the Rashtrakutas.
2. **Brindavan Gardens and Krishnarajasagar Dam**: Brindavan Gardens are a popular tourist attraction located in Mysuru, Karnataka. They are situated on the banks of the Cauvery River, near the Krishnarajasagar Dam. The dam was constructed in 1924 and is one of the largest in Karnataka. The gardens are known for their beautiful fountains, musical fountains, and well-manicured lawns. The dam and the gardens are a significant part of Karnataka's tourism and water management infrastructure.
3. **Dudhsagar Falls**: Dudhsagar Falls, which translates to "Sea of Milk" in English, is a spectacular waterfall located in the Western Ghats, in the state of Goa. It is not located in Karnataka. The falls are formed by the Mandovi River and are a major tourist attraction in Goa. The confusion might arise because both Karnataka and Goa are located in the Western Ghats region, but they are separate states.
In summary, the first two statements are correct as they pertain to the historical and geographical facts of Karnataka. The third statement is incorrect because Dudhsagar Falls is located in Goa, not Karnataka. Therefore, the correct answer is Option A, which states that only the first two statements are true.