The correct answer is option 4, Ladakh.

To understand why, let`s examine the provided coordinates. The given coordinates are 34° N and 77° E. These coordinates represent latitude and longitude, respectively.

Option 1, Andaman and Nicobar Islands, is located at a latitude of around 11° N and a longitude of approximately 92° E. This does not match the given coordinates, so it is not the correct answer.

Option 2, Lakshadweep, is situated at a latitude of approximately 11° N and a longitude of around 72° E. Again, these do not match the given coordinates and thus, it is not the correct answer.

Option 3, Puducherry, is located at a latitude of around 12.97° N and a longitude of approximately 79.15° E. While the latitude is similar, the longitude does not match the given coordinates. Therefore, it is not the correct answer.

Finally, option 4, Ladakh, is situated at a latitude of around 34° N and a longitude of approximately 77° E. These coordinates perfectly match the given ones, making it the correct answer.

In conclusion, M must have planned to visit Ladakh