Explanation: To understand the geographical context of India, it is essential to know its land boundaries and the location of significant geographical features such as deserts and seas.
1. **Land Boundaries:**
- India shares its eastern land boundaries with two countries: Myanmar (Burma) to the east and Bangladesh to the northeast. This is a well-established geographical fact and is correctly stated in the first statement.
2. **Thar Desert:**
- The Thar Desert, also known as the Great Indian Desert, is located in the western part of India, primarily in the state of Rajasthan. It extends into the neighboring country of Pakistan but does not extend into Bangladesh. Bangladesh is located in the northeastern part of India, far from the Thar Desert. Therefore, the second statement is incorrect.
3. **Arabian Sea and Bay of Bengal:**
- The Arabian Sea is a part of the Indian Ocean and is located to the west of India. It is not a branch that enters India from the Bay of Bengal. The Bay of Bengal is located to the east of India and is a different geographical feature. The Arabian Sea and the Bay of Bengal are two distinct bodies of water that are not directly connected in the manner described in the third statement. Hence, the third statement is incorrect.
In summary, the first statement is true, while the second and third statements are false. Therefore, the correct answer is Option A, which states that only the first statement is true. Understanding these geographical facts is crucial for students preparing for competitive examinations that test knowledge of Indian geography.