The question is about India`s Look/Act East Policy and is asking about the capital of North-Eastern Indian States that is proposed to be connected to Bangladesh through a rail route.

Option 1: Agartala is the correct answer. There is an active proposal to connect Agartala, the capital of the Indian state of Tripura, with Bangladesh via a rail route to improve transportation and foster better relations between Bangladesh and the North-East region of India.

Option 2: Kohima, the capital of Nagaland, is not proposed to be connected with Bangladesh by rail. Currently, no such plan exists.

Option 3: Imphal is the capital of Manipur. Though there are infrastructure projects underway in this region to improve connectivity, there is no current proposal to connect Imphal with Bangladesh via rail.

Option 4: Itanagar is the capital of Arunachal Pradesh. While strategic connectivity projects are ongoing in the region, the proposal to connect Itanagar with Bangladesh via rail does not exist.

In summary, Agartala is planned to be connected with Bangladesh as part of India`s Look/Act East Policy, making it the correct answer.